1. The document provides an overview of the curriculum for 6th grade math including topics, pacing, and vocabulary for three units: Expressions and Equations, Solving Equations and Inequalities, and Decimals.
2. Key topics include exponents, order of operations, variables and expressions, translating between words and math, equations and solutions, adding/subtracting/multiplying/dividing decimals.
3. Each unit lists the corresponding textbook chapters and New York State Common Core Learning Standards addressed. Common assessments are also included.
Algebra is used in many field in many different ways to solve equation problems, and in business algebra is also used or in our day to day life it is also used. ... Algebra is a way of keeping track of unknown values, which can be used in equations.
This presentation explains Algebra in Mathematics. It includes: Introduction, Solution to Puzzle, Definition of terms, Rules in Algebra, Collecting Like Terms, Similar Terms, Expanding the Brackets, Nested Brackets, Multiplication of Algebraic Expressions of a Single Variable, Division of One Expression by another, Addition and Subtraction of Algebraic Fractions, Multiplication and Division of Algebraic Fractions, Factorisation of Algebraic Expression, Useful Products of Two Simple Factors, Examples, Trinomial Expression, Quadratic Expression as the Product of Two Simple Factors, Factorisation of Quadratic Expression ax2 + bx +c When a = 1, Factorisation of Quadratic Expression ax2 + bx +c When a ≠ 1 and Test for Simple Factors.
Algebra is used in many field in many different ways to solve equation problems, and in business algebra is also used or in our day to day life it is also used. ... Algebra is a way of keeping track of unknown values, which can be used in equations.
This presentation explains Algebra in Mathematics. It includes: Introduction, Solution to Puzzle, Definition of terms, Rules in Algebra, Collecting Like Terms, Similar Terms, Expanding the Brackets, Nested Brackets, Multiplication of Algebraic Expressions of a Single Variable, Division of One Expression by another, Addition and Subtraction of Algebraic Fractions, Multiplication and Division of Algebraic Fractions, Factorisation of Algebraic Expression, Useful Products of Two Simple Factors, Examples, Trinomial Expression, Quadratic Expression as the Product of Two Simple Factors, Factorisation of Quadratic Expression ax2 + bx +c When a = 1, Factorisation of Quadratic Expression ax2 + bx +c When a ≠ 1 and Test for Simple Factors.
Multiple Choice Type your answer choice in the blank.__.docxadelaidefarmer322
Multiple Choice:
Type your answer choice in the blank.
_____1.
Simplify.
A.
B.
C.
D.
_____2.
Find a quadratic function to model the values in the table. Predict the value of
y
for
x
= 6.
X
y
1
2
0
-2
3
10
A. y = -2x
2
+ 2x -2; –58
B. y = 2x
2
– 2x -2; 60
C. y = 2x
2
– 2x -2; 58
D. y = -2x
2
+ 2x +2; –58
______3.
A manufacturer of shipping boxes has a box shaped like a cube. The side length is
5a + 4b
. What is the volume of the box in terms of
a
and
b
?
_____4.
In how many ways can 3 singers be selected from 5 who came to an audition?
A. 1
B. 10
C. 5
D. 60
_____5.
Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100.
Short Answer:
Type your answer in the space below each question. Show your work when applicable.
6.
The velocity of sound in air is given by the equation
, where
v
is the velocity in meters per second and
t
is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree.
7.
The volume in cubic feet of a box can be expressed as
, or as the product of three linear factors with integer coefficients. The width of the box is 2 –
x
.
Factor the polynomial to find linear expressions for the height and the width.
8.
This table shows data on heating oil use for two years in three adjacent buildings on Spring Street.
Heating Oil Use
Number of Gallons Used
Address
2002
2003
152 Spring St.
1215
1093
154 Spring St.
982
975
156 Spring St.
1562
1437
a.
Write a matrix
H
to represent the data.
b.
Find element . What does this element represent?
9.
Solve the equation. Check for extraneous solutions. Type your answers in the blanks.
x = ______ or ______
Multiple Choice:
Type your answer choice in the blank.
_____10.
Assign each letter and a blank space to a number as shown by the alphabet table below:
0 = _
1 = A
2 = B
3 = C
4 = D
5 = E
6 = F
7 = G
8 = H
9 = I
10 = J
11 = K
12 = L
13 = M
14 = N
15 = O
16 = P
17 = Q
18 = R
19 = S
20 = T
21 = U
22 = V
23 = W
24 = X
25 = Y
26 = Z
Use to encode the phrase “FIT AS A FIDDLE”.
A.
B.
C.
D.
_____11.
A gem store sells beads made of amber and quartz. For 4 amber beads and 4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead.
A. amber $10.00, quartz $1.50
B. amber $9.75, quartz $1.25
C. amber $10.25, quartz $1.75
D. amber $1.50, quartz $10.00
12.
In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.
Time (hours)
0
1
2
3
4
5
6
Population (1000s)
5.1
3.03
1.72
1.17
1.38
2.35
4.08
a.
Find a quadra.
Directions Please show all of your work for each problem. If app.docxduketjoy27252
Directions: Please show all of your work for each problem. If applicable, you may find Microsoft Word’s equation editor helpful in creating mathematical expressions in Word. The option of hand writing your work and scanning it is acceptable.
1. List all the factors of 88.
2. List all the prime numbers between 25 and 60.
3. Find the GCF for 16 and 17.
4. Find the LCM for 13 and 39.
5. Write the fraction in simplest form.
6. Multiply. Be sure to simplify the product.
7. Divide. Write the result in simplest form.
8. Add.
9. Perform the indicated operation. Write the result in simplest form. –
10. Perform the indicated operation. Write the result in simplest form. ÷
11. Find the decimal equivalent of rounded to the hundredths place.
12. Write 0.12 as a fraction and simplify.
13. Perform the indicated operation. 8.50 – 1.72
14. Divide.
15. Write 255% as a decimal.
16. Write 0.037 as a percent.
17. Evaluate. 56 ÷ 7 – 28 ÷ 7
18. Evaluate. 9 42
19. Multiply: (-1/4)(8/13)
20. Translate to an algebraic expression: Twice x, plus 5, is the same as -14.
21. Identify the property that is illustrated by the following statement. 5 + 15 = 15 + 5
22. Identify the property that is illustrated by the following statement.
(6 · 13) 10 = 6 · (13 · 10)
23. Identify the property that is illustrated by the following statement.
10 (3 + 11) = 10 3 + 10 11
24. Use the distributive property to remove the parentheses in the following expression. Then simplify your result where possible. 3.1(3 + 7)
25. Add. 14 + (–6)
26. Subtract. –17 – 6
27. Evaluate. 3 – (–3) – 13 – (–5)
28. Multiply.
29. Divide.
30. Evaluate. (–6)2 – 52
31. Evaluate. (–9)(0) + 13
32. A man lost 36 pounds (lb) while dieting. If he lost 3 pounds each week, how long has he been dieting?
33. Write the following phrase using symbols: 2 times the sum of v and p
34. Write the following phrase using symbols. Use the variable x to represent the number: The quotient of a number and 4
35. Dora puts 50 cents in her piggy bank every night before she goes to bed. If M represents the money (in dollars) in her piggy bank this morning, how much money (in dollars) is in her piggy bank when she goes to bed tonight?
36. Write the following geometric expression using the given symbols.
times the Area of the base (A) times the height(h)
37. Evaluate if x = 12, y = , and z = .
38. A formula that relates Fahrenheit and Celsius temperature is . If the current temperature is 59°F, what is the Celsius temperature?
39. If the circumference of a circle whose radius is r is given by C = 2πr, in which π ≈ 3.14, find the circumference when r = 15 meters (m).
40. Combine like terms: 9v + 6w + 4v
41. A rectangle has sides of 3x – 4 and 7x + 10. Provide a simplified expression for its perimeter.
42. Subtract 4ab3 from the sum of 10ab3 and 2ab3.
43. Use the distributive property to remove the p.
Final Exam Name___________________________________Si.docxcharlottej5
Final Exam Name___________________________________
Silva Math 96 Spring 2020
YOU MUST SHOW ALL WORK AND BOX YOUR ANSWERS FOR CREDIT. WORK ALONE.
Solve the absolute value inequality. Write your answer
in interval notation.
1) |2x - 12 |> 2
Solve the compound inequality. Graph the solution set.
Write your answer in interval notation.
2) -4x > -8 and x + 4 > 3
Solve the three-part inequality. Write your answer in
interval notation.
3) -1 < 3x + 2 < 14
Solve the absolute value equation.
4) 4x + 9 = 2x + 7
Solve the compound inequality.
5) 3( x + 4 ) ≥ 0 or 4 ( x + 4 ) ≤ 4
Solve the inequality. Graph the solution set and write
your answer in interval notation.
6) |5k + 8| > -6
Solve the inequality graphically. Write your answer in
interval notation .
7) x + 3 ≥ 1
x-8 -6 -4 -2 2
y
8
6
4
2
x-8 -6 -4 -2 2
y
8
6
4
2
1
Graph the system of inequalities.
8) 2x + 8y ≥ -4
y < - 3
2
x + 6
x-10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
Find the determinant of the given matrix.
9) 10 5
0 -4
Use Cramer's rule to solve the system of linear
equations.
10) 6x + 5y = -12
2x - 2y = -4
Write a system that models the situation. Then solve the
system using any method. Must show work for credit.
11)A vendor sells hot dogs, bags of potato chips,
and soft drinks. A customer buys 3 hot dogs,
4 bags of potato chips, and 5 soft drinks for
$14.00. The price of a hot dog is $0.25 more
than the price of a bag of potato chips. The
cost of a soft drink is $1.25 less than the price
of two hot dogs. Find the cost of each item.
Use row reduced echelon form to solve the system.
12) x + y + z = 3
x - y + 4z = 11
5x + y + z = -9
2
Find the domain of f. Write your answer in interval
notation.
13) f(x) = 13 - 9x
If possible, simplify the expression. If any variables
exist, assume that they are positive.
14) 2x + 6 32x + 6 8x
Match to the equivalent expression.
15) 100-1/2
A) 1
1000
B) 1
10
C) 1
100
D) 1
10
Write the expression in standard form.
16) (5 + 8i) - (-3 + i)
Simplify the expression. Assume that all variables are
positive.
17) 5 t
5
z10
Solve the equation.
18) 3x + 1 = 3 + x - 4
Write the expression in standard form.
19) 3 + 3i
5 + 3i
3
Write the equation in vertex form.
20) y = x2 + 5x + 2
The graph of ax2 + bx + c is given. Use this graph to solve
ax2 + bx + c = 0, if possible.
21)
x-5 5 10
y
50
40
30
20
10
-10
-20
-30
-40
-50
x-5 5 10
y
50
40
30
20
10
-10
-20
-30
-40
-50
Solve the equation. Write complex solutions in standard
form.
22) 4x2 + 5x + 5 = 0
Graph the quadratic function by its properties.
23) f(x) = 1
3
x2 - 2x + 3
x
y
x
y
Solve the equation. Find all real solutions.
24) 2(x - 1)2 + 11(x - 1) + 12 = 0
Solve the problem.
25) The length of a table is 12 inches more than its
width. If the area of the table is 2668 square
inches, what is its length?
4
Solve the equation..
enjoy the formulas and use it with convidence and make your PT3 AND SPM more easier..togrther we achieve the better:)
good luck guys and girls...simple and short ans also sweet formulas..
State of ICS and IoT Cyber Threat Landscape Report 2024 previewPrayukth K V
The IoT and OT threat landscape report has been prepared by the Threat Research Team at Sectrio using data from Sectrio, cyber threat intelligence farming facilities spread across over 85 cities around the world. In addition, Sectrio also runs AI-based advanced threat and payload engagement facilities that serve as sinks to attract and engage sophisticated threat actors, and newer malware including new variants and latent threats that are at an earlier stage of development.
The latest edition of the OT/ICS and IoT security Threat Landscape Report 2024 also covers:
State of global ICS asset and network exposure
Sectoral targets and attacks as well as the cost of ransom
Global APT activity, AI usage, actor and tactic profiles, and implications
Rise in volumes of AI-powered cyberattacks
Major cyber events in 2024
Malware and malicious payload trends
Cyberattack types and targets
Vulnerability exploit attempts on CVEs
Attacks on counties – USA
Expansion of bot farms – how, where, and why
In-depth analysis of the cyber threat landscape across North America, South America, Europe, APAC, and the Middle East
Why are attacks on smart factories rising?
Cyber risk predictions
Axis of attacks – Europe
Systemic attacks in the Middle East
Download the full report from here:
https://sectrio.com/resources/ot-threat-landscape-reports/sectrio-releases-ot-ics-and-iot-security-threat-landscape-report-2024/
Key Trends Shaping the Future of Infrastructure.pdfCheryl Hung
Keynote at DIGIT West Expo, Glasgow on 29 May 2024.
Cheryl Hung, ochery.com
Sr Director, Infrastructure Ecosystem, Arm.
The key trends across hardware, cloud and open-source; exploring how these areas are likely to mature and develop over the short and long-term, and then considering how organisations can position themselves to adapt and thrive.
Generating a custom Ruby SDK for your web service or Rails API using Smithyg2nightmarescribd
Have you ever wanted a Ruby client API to communicate with your web service? Smithy is a protocol-agnostic language for defining services and SDKs. Smithy Ruby is an implementation of Smithy that generates a Ruby SDK using a Smithy model. In this talk, we will explore Smithy and Smithy Ruby to learn how to generate custom feature-rich SDKs that can communicate with any web service, such as a Rails JSON API.
Builder.ai Founder Sachin Dev Duggal's Strategic Approach to Create an Innova...Ramesh Iyer
In today's fast-changing business world, Companies that adapt and embrace new ideas often need help to keep up with the competition. However, fostering a culture of innovation takes much work. It takes vision, leadership and willingness to take risks in the right proportion. Sachin Dev Duggal, co-founder of Builder.ai, has perfected the art of this balance, creating a company culture where creativity and growth are nurtured at each stage.
Elevating Tactical DDD Patterns Through Object CalisthenicsDorra BARTAGUIZ
After immersing yourself in the blue book and its red counterpart, attending DDD-focused conferences, and applying tactical patterns, you're left with a crucial question: How do I ensure my design is effective? Tactical patterns within Domain-Driven Design (DDD) serve as guiding principles for creating clear and manageable domain models. However, achieving success with these patterns requires additional guidance. Interestingly, we've observed that a set of constraints initially designed for training purposes remarkably aligns with effective pattern implementation, offering a more ‘mechanical’ approach. Let's explore together how Object Calisthenics can elevate the design of your tactical DDD patterns, offering concrete help for those venturing into DDD for the first time!
Transcript: Selling digital books in 2024: Insights from industry leaders - T...BookNet Canada
The publishing industry has been selling digital audiobooks and ebooks for over a decade and has found its groove. What’s changed? What has stayed the same? Where do we go from here? Join a group of leading sales peers from across the industry for a conversation about the lessons learned since the popularization of digital books, best practices, digital book supply chain management, and more.
Link to video recording: https://bnctechforum.ca/sessions/selling-digital-books-in-2024-insights-from-industry-leaders/
Presented by BookNet Canada on May 28, 2024, with support from the Department of Canadian Heritage.
The Art of the Pitch: WordPress Relationships and SalesLaura Byrne
Clients don’t know what they don’t know. What web solutions are right for them? How does WordPress come into the picture? How do you make sure you understand scope and timeline? What do you do if sometime changes?
All these questions and more will be explored as we talk about matching clients’ needs with what your agency offers without pulling teeth or pulling your hair out. Practical tips, and strategies for successful relationship building that leads to closing the deal.
JMeter webinar - integration with InfluxDB and GrafanaRTTS
Watch this recorded webinar about real-time monitoring of application performance. See how to integrate Apache JMeter, the open-source leader in performance testing, with InfluxDB, the open-source time-series database, and Grafana, the open-source analytics and visualization application.
In this webinar, we will review the benefits of leveraging InfluxDB and Grafana when executing load tests and demonstrate how these tools are used to visualize performance metrics.
Length: 30 minutes
Session Overview
-------------------------------------------
During this webinar, we will cover the following topics while demonstrating the integrations of JMeter, InfluxDB and Grafana:
- What out-of-the-box solutions are available for real-time monitoring JMeter tests?
- What are the benefits of integrating InfluxDB and Grafana into the load testing stack?
- Which features are provided by Grafana?
- Demonstration of InfluxDB and Grafana using a practice web application
To view the webinar recording, go to:
https://www.rttsweb.com/jmeter-integration-webinar
UiPath Test Automation using UiPath Test Suite series, part 4DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 4. In this session, we will cover Test Manager overview along with SAP heatmap.
The UiPath Test Manager overview with SAP heatmap webinar offers a concise yet comprehensive exploration of the role of a Test Manager within SAP environments, coupled with the utilization of heatmaps for effective testing strategies.
Participants will gain insights into the responsibilities, challenges, and best practices associated with test management in SAP projects. Additionally, the webinar delves into the significance of heatmaps as a visual aid for identifying testing priorities, areas of risk, and resource allocation within SAP landscapes. Through this session, attendees can expect to enhance their understanding of test management principles while learning practical approaches to optimize testing processes in SAP environments using heatmap visualization techniques
What will you get from this session?
1. Insights into SAP testing best practices
2. Heatmap utilization for testing
3. Optimization of testing processes
4. Demo
Topics covered:
Execution from the test manager
Orchestrator execution result
Defect reporting
SAP heatmap example with demo
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
UiPath Test Automation using UiPath Test Suite series, part 4
Units 1 3 review
1. Name ________________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ______________ Final Review R1
Unit 1: Expressions & Equations Approximate Pacing: 13 days
NYS CCLS Topic Textbook On Core Vocabulary
6.EE.1 Exponents 1-3 3-1 power, base, exponent,
exponential form, squared, cubed
6.EE.2c Order of Operations 1-4 - order of operations, evaluate,
numerical expression, sum,
product, quotient, difference,
factor
6.EE.2b
6.EE.2a
Variables & Expressions 2-1 3-2 / 3-3 / 3-4 variable, constant, algebraic
expression, term, coefficient,
6.EE.2a Translating Between Words & Math 2-2 3-2 / 3-3 see chart on p. 53 of text
6.EE.5 Equations & Solutions 2-3 4-1 equation, solution
Common task: How Much Paint? (On Core p. 77-80)
Unit 2: Solving Equations & Inequalities Approximate Pacing: 12 days
NYS CCLS Topic Textbook On Core Vocabulary
6.EE.7 Solving & Writing Adding Equations 2-4 4-2 inverse operation
6.EE.7 Solving & Writing Subtraction Equations 2-5 4-2
6.EE.7 Solving & Writing Multiplication Equations 2-6 4-3
6.EE.7 Solving & Writing Division Equations 2-6 4-3
6.EE.9 Equations, Tables, & Graphs - 4-4 dependent variable, independent
variable, input, output
6.EE.5 / 6.EE.6 /
6.EE.8
Write Inequalities & Identify / Graph Solutions
of Inequalities
4-5 greater than, less than, greater
than or equal to, less than or
equal to
Common task: Travel Plans (On Core p. 106-108)
Unit 3: Decimals Approximate Pacing: 12 days
NYS CCLS Topic Textbook On Core Vocabulary
5.NBT.1 Place Value / Comparing / Ordering
~Billions to Millionths
3-1 -
6.NS.3 Adding Decimals
~Addition of whole number review
~Review perimeter with decimals
3-2 1-3
6.NS.3 Subtracting Decimals
~Subtraction of whole number review
3-2 1-3
6.NS.3 Multiplying Decimals
~Review whole # multiplication (4-digit by
3-digit)
3-6
p. 666
1-4
6.NS.2 Division of Whole Numbers p. 667 - divisor, dividend, quotient
6.NS.3 Dividing Decimals by Whole Numbers
Dividing Decimals by Decimals
3-7 / 3-8 1-5
6.NS.1 / 6.NS.2
6.NS.3
Problem Solving with Decimals 3-9 p. 29-32
6.EE.7 Solving Decimal Equations 3-10 embedded
in 4-2 & 4-3
Common task: Punting a Football
1. Calculate: 42
+ 12 - 2 =
2. 2. Evaluate the expression (x2
+ y) - x when x = 2, and y = 6.
3. Which of the following steps should be performed first in simplifying the expression: (32
+ 4 - 2)×(5 - 6)?
A. 5 - 2 B. 32
C. 4 - 2 D. 2 × 5
4. Evaluate the expression x - y + 6, when x = 8 and y = 4.
5. What is the value of 3 × 6 ÷ 2 + 8?
6. Distribute 3(x + 2).
A. 3x + 1 B. 3x + 2 C. 3x + 6 D. x + 6
7. Combine like terms to simplify 3x + 5 + 2x.
A. 5x + 5 B. 3x + 7 C. x + 5 D. 3x + 2
8. Combine like terms to simplify the expression 4m + 2n - m - n.
A. 5m + 3n B. 5m - 3n C. 3m + n D. 3m - n
9. Simplify: 6t + t
10. Which expression is equivalent to 4x + 3 - 2x + 5?
A. 2x + 8 B. 7x - 3 C. 6x + 8 D. 12x + 8
11. Which expression correctly simplifies 4(x - 5)?
A. 4x + 5 B. 4x + 20 C. 4x - 5 D. 4x - 20
12. Simplify 5x + x.
A. 4x B. 6x C. 1 + 5x D. 5 + x
13. Simplify 3r + 2r + r.
A. 5r B. 7r C. 6 + r D. 6r
14. Simplify 2(x + 3).
A. x - 6 B. x + 6 C. 2x + 6 D. 2x - 6
15. Simplify 7(2x - 4)
A. 14x + 28 B. 14x + 4 C. 14x -28 D. 14x - 4
16. Combine like terms and simplify: 6x + 4 + 5x.
A. 10x + 5 B. 6 + 9x C. 30x + 4 D. 11x + 4
17. Combine like terms and simplify 16y + 9 + 4 + 4y.
A. 20y + 12 B. 24y + 8 C. 20y + 13 D. 24 + 8y
18. Combine like terms and simplify 4r + 6 - 2r + 5.
A. 2r - 11 B. 10r + 7 C. 10r - 3 D. 2r + 11
19. Which expression is equivalent to 4s + 3 - 3 - s?
A. 3s + 6 B. 4s + 0 C. 3s D. 3s + 1
20. Which expression is equivalent to 6w + 5 - 3w + 7?
A. 9w + 2 B. 3w + 12 C. 11w - 4 D. 11w + 4
21. Which expression is equivalent to 3d - d + 4 + d?
3. A. 4d + 4 B. 4d - 4 C. 3d - 4 D. 3d + 4
22. Simplify the expression 5g + 5 - 2g + g + 5h.
A. 5h - 4g + 5 B. 5h + 4g + 5 C. 5h + 4g - 5 D. -5h + 4g + 5
23. Which variable expression is equivalent to a number decreased by 7?
A. x - 7 B. 7 + x C. 7 ÷ x D. 7x
24. Which phrase could not represent the expression 4 + x?
A. The product of 4 and a number
B. The sum of 4 and a number
C. The total of 4 and a number
D. A number added to 4
25. Write an expression for one-half of 10.
A. 10 + 5 B. 10 − 5 C. 10 × 5 D. 10 ÷ 5
26. A piece of construction equipment uses two gallons of fuel per hour. Match the sentence with an
appropriate variable expression: the amount of fuel it uses for a given number of hours.
A. 2 - h B. h + 2 C. h ÷ 2 D. 2h
27. How can you express "7 decreased by a number" as a variable expression?
A. 7 − n B. n − 7 C. 7 ÷ n D. n ÷ 7
28. How can you write the quotient of m and 9 as a mathematical expression?
A. 9m B. m + 9 C. m − 9 D. m ÷ 9
29. Which variable expression is the same as the sum of 4 and the product of 6 and j?
A. 4 − 6j B. 4 + 6j C. 4j + 6 D. 4(6j)
30. Which variable expression is equal to 12 increased by a number?
A. x − 12 B. 12 + x C. 12x D. 12 ÷ x
31. Which variable expression is equal to twice a number increased by 11?
A. 2x + 11 B. 2 + 11x C. x + 2 + 11 D. 11x(2)
32. Which variable expression is equal to 5 decreased by twice a number?
A. x − 5 + 2 B. 5 + 2x C. 5 − 2x D. 2x − 5
33. Which phrase does not represent 12 + n?
A. The sum of 12 and a number.
B. The total of 12 and a number.
C. 12 + a number.
D. The product of 12 and a number.
34. Which phrase represents 12n + 5?
A. The product of 12 & a number, increased by 5.
B. The sum of 12 and a number increased by 5
C. The total of 12, a number, and 5.
D. The total of 12 increased by 5 and a number.
35. Which of the following mathematical expressions represents the quotient of m and 15?
A. m ÷15 B. 15m C. 15 ÷ m D. 15 × m
36. Which variable expression is the same as the sum of 5 and the product of 10 and n?
A. 5 + 10n B. 5n + 10 C. 10 + 5n D. 5(n + 10)
37. How would you write of a number increased by 5 times that same number as a variable expression?
4. A. y(5) B. 5y( ) C. 5y + 2y D. y + 5y
38. Match the sentence with an appropriate variable expression: Sal pays 5 dollars for every tee shirt he buys.
A. 5 + s B. 5s C. s ÷ 5 D. 5 + s
39. Match the sentence with an appropriate variable expression: Jeremy’s family drove 30 miles on Monday
and then drove a certain number of miles on Tuesday. What is the total amount that Jeremy’s family drove?
A. 30 + m B. 30m C. 30 ÷ m D. 30m + 30
40. Match the sentence with an appropriate variable expression:
Marty had 100 baseball cards and gave away a certain amount of them.
A. x - 100 B. 100 - x C. 100x D. 100 ÷ x
41. Match the sentence with an appropriate variable expression:
The number of miles that a plane can travel on 50 gallons of fuel.
A. x + 50 B. 50x C. 50 ÷ x D. 50 - x
42. Find the solution of 21 = 9 + q
43. Solve the equation. z + = 1.
A. z = 1
B. z = C. z = 2 D. z =
44. Solve for the equation. u + 3.5 = 5
A. u = 1.2 B. u = 1.3 C. u = 1.4 D. u = 1.5
45. Solve for x: x + 5.7 = 8.2
A. x = 2 B. x = 2.5 C. x = 3 D. x = 3.5
46. Solve the equation: y + 9 = 13 .
A. y = 3
B. y = 3
C. y = 4
D. y = 4
47. Use algebra to solve for k: k − 6.5 = 9.8.
48. Use algebra to solve for g: g − 3.4 = 5.9.
49. Use algebra to solve for x: x - = .
A. x = B. x = C. x = D. x =
50. Solve the equation: x + = . Express your answer in simplest form.
51. Use algebra to solve for x: x + 3.5 = 9.6
5. 52. What is the solution of t - = 3 ?
A. t = 4 B. t = 4
C. t = 5
D. t = 2
53. Solve: 3(x + 2) = 30
54. Combine like terms and solve: x + 2x = 90.
55. Simplify and solve 5t − 2 − t = 14.
56. When you solve 4(x + 2) = 22, you must simplify the equation first. What would the first step look like?
A. 4x + 8 = 22 B. 4x + 2 = 22 C. x + 8 = 22 D. x + 2 = 22
57. When solving equations, sometimes you have to simplify the equation first.
When solving 3x + 2 + x + 6 = 25, what might your first step look like?
A. 3x + 8 = 25 B. 3x - 4 = 25 C. 4x + 8 = 25 D. 4x - 4 = 25
58. Use the distributive property to solve: 2(x + 3) = 15. Express as a decimal.
59. Solve the inequality: 3x < 15.
60. Which inequality represents the statement that the temperature is more than 90°?
A. t < 90° B. t > 90° C. t ≤ 90° D. t ≥ 90°
61. Find q: 4q - 2 ≤ 18.
62. Solve the inequality: 12 ≥ k − 5.
63. The graph shows which inequality?
A. x > 3 B. x ≥ 3 C. x < 3 D. x ≤ 3
64. The graph is of which inequality?
A. x < 1 B. x ≤ 1 C. x ≥ 1 D. x > 1
65. The graph represents which inequality?
A. x ≥ 2 B. x > 2 C. x < 2 D. x ≤ 2
66. The number line shows the graph of which inequality?
A. x ≥ −1 B. x ≤ −1 C. x > −1 D. x < −1
67. Find x in the equation .
A. 21 B. 28 C. 35 D. 42
68. Use algebra to solve 1.6x = 12.8.
A. x = 6 B. x = 7 C. x = 8 D. x = 9
69. What is the value of m in the equation ?
6. 70. Solve for q: 3.5q = 24.5
71. Solve the equation: t = 33
72. Find the value of a2
- b if a = 3 and b = 5.
A. 14 B. 4 C. 2 D. 11
73. Which number is not a member of the solution set of the inequality 4x ≥ 18?
A. 4.4 B. 4.5 C. 4.6 D. 4.7
74. What is the correct verbal expression for the given algebraic equation: 2x + 3 = 4.
A. Twice a number decreased by 3 is 4.
B. Twice a number is -1.
C. Twice a number increased by 3 is 4.
D. A number squared increased by 3 is 4.
75. What is the correct verbal expression for the given algebraic equation, 3x - 6 = 2?
A. Three times a number decreased by -6 is 2.
B. Three times a number decreased by 6 is 2.
C. Twice a number increased by 3 is 4.
D. A number cubed decreased by 6 is 2.
76. What is the correct verbal expression for the algebraic expression x - 7?
A. One-half a number decreased by -7
B. One-half a number increased by 7
C. Twice a number increased by 7
D. One-half a number decreased by 7
77. Which graph represents the solution set of the inequality 2(x + 4) > 2?
A.
B.
C.
D.
78. Which inequality represents the translation of the following sentence?
"Twice a number increased by four is more than 7."
A. 2x + 4 < 7 B. 2x - 4 > 7 C. 2x + 4 > 7 D. 2x + 4 ≤ 7
79. Which inequality represents the translation of the following sentence?
"Half a number is less than four more than the same number."
A. < 4 + x
B. ≤ 4 + x
C. 2x > x + 4
D. > x + 4
80. Which inequality represents the translation of the following sentence?
"The product of a number and three is less than or equal to that number decreased by five."
A. 3x ≤ 5 − x B. 3x ≥ x − 5 C. 3 + x ≤ x − 5 D. 3x ≤ x − 5
81. Which inequality represents the translation of the following sentence?
"Four more than two times a number is less than or equal to five."
A. 4 + 2x > 5
B. 2x + 4 < 5
C. 4 + 2x ≥ 5
D. 2x + 4 ≤ 5
7. Name ________________________________________ Date ________________________
Mrs. Labuski / Mrs. Portsmore Period ______________ Final Review R1 Answer Key
1. 26 42. 12
2. 8 43. D
3. B 44. D
4. 10 45. B
5. 17 46. D
6. C 47. 16.3
7. A 48. 9.3
8. C 49. B
9. 77 50. ¼
10. A 51. 6.1
11. D 52. B
12. B 53. 8
13. D 54. 30
14. C 55. 4
15. C 56. A
16. D 57. C
17. C 58. 4.5
18. D 59. x<5
19. C 60. B
20. B 61. q ≤5
21. D 62. 17≥k
22. B 63. B
23. A 64. A
24. A 65. D
25. B 66. C
26. D 67. B
27. A 68. C
28. D 69. 4.8
29. B 70. 7
30. B 71. 99
31. A 72. B
32. C 73. A
33. D 74. C
34. A 75. B
35. A 76. D
36. A 77. B
37. D 78. C
38. B 79. A
39. A 80. D
40. B 81. D
41. B
