2.7 distributive property day 1
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This document provides examples and explanations for using the distributive property in algebra. It discusses multiplying a number by the sum or difference of two expressions. It provides examples of distributing coefficients over terms with variables and constants. Students are asked to use the distributive property to evaluate expressions and calculate total costs mentally when buying multiple items priced at whole dollar amounts with small change.
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2.7 distributive property day 1
This document provides lesson materials for algebra topics including the distributive property. It includes examples of using the distributive property to evaluate expressions like 12(-10 + -2) and 8(-3 - 6). The homework assigned for the week is also listed, covering topics like the distributive property, solving equations, and vocabulary terms.
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The document explains the distributive property for multiplication. It provides an example of using the distributive property to solve 62 x 3. The steps are: (1) write 62 in expanded form as 60 + 2, (2) set up parentheses, (3) multiply each term by 3, (4) find the products, (5) add the products, and (6) check the work. Using these steps, 62 x 3 is equal to (60 x 3) + (2 x 3) = 180 + 6 = 186. Another example solves 87 x 5 using the same steps.
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Ben harvested 73 eggplant and 94 pieces of okra, for a total of 73 + 94 = 167 pieces of vegetables harvested. The associative property of addition states that changing the grouping of the addends does not change the sum, as shown in examples such as (4 + 3) + 5 = 4 + (3 + 5).
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2.7 distributive property day 1
This document provides lesson materials for algebra topics including the distributive property. It includes examples of using the distributive property to evaluate expressions like 12(-10 + -2) and 8(-3 - 6). The homework assigned for the week is also listed, covering topics like the distributive property, solving equations, and vocabulary terms.
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The document discusses five properties of multiplication: the commutative property, associative property, identity property, zero property, and distributive property. It provides examples to illustrate each property, such as how the order of factors does not change the product under the commutative property or how grouping factors differently does not change the result under the associative property. Examples are also given for how the product is the other factor under the identity property and is zero when zero is a factor under the zero property.
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Ben harvested 73 eggplant and 94 pieces of okra, for a total of 73 + 94 = 167 pieces of vegetables harvested. The associative property of addition states that changing the grouping of the addends does not change the sum, as shown in examples such as (4 + 3) + 5 = 4 + (3 + 5).
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Here are the solutions to the more difficult examples:
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- Properties like distributive property for operations with integers
(7) Lesson 5.4 - The Distributive Property
The document discusses the distributive property in mathematics. It provides examples of using the distributive property to evaluate numerical expressions and rewrite algebraic expressions. It also gives a step-by-step example of using the distributive property to find the total cost of baseball helmets when the price per helmet is given. The distributive property allows numbers and symbols to represent mathematical ideas by distributing a number across terms within parentheses during multiplication.
Final Exam Name___________________________________Si.docx
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..
(7) Lesson 5.7 - Subtract Linear Expressions
To subtract two linear expressions:
1. Arrange the like terms in column form with the subtrahend expression underneath the minuend.
2. Take the additive inverse of the subtrahend expression by changing the sign of each term.
3. Add the subtrahend expression with its inverse to the minuend expression.
4. Simplify the resulting expression.
2.2 add real numbers day 1-2
The document contains information about rational numbers including integers, fractions, and decimals. It provides examples of adding and subtracting rational numbers on a number line. Key points include:
- Rational numbers include integers, fractions, and decimals.
- Zero is a whole number but not a positive integer.
- Examples are given of comparing rational numbers and performing addition and subtraction on a number line.
- Properties of addition like commutativity and inverses are illustrated.
Day 1 math 8 lesson
1. Finding the area of a rectangle given its length and width. The area formula uses the special product (length)(width), which is a multiplication of two binomials.
2. Finding the diagonal of a square given the length of one side. Using the special product of (a + b)(a - b) = a^2 - b^2, the diagonal can be found as (length)^2 - 0.
3. Finding the area of a triangle given the lengths of two sides and the angle between them. Using the trigonometric identity cos^2(θ) + sin^2(θ
Números Reales - Genesis Sira
The document defines sets and set operations such as union, intersection, symmetric difference, and complement. It then discusses real numbers, defining them as any numeric expressions excluding imaginary and complex numbers, such as integers, fractions, irrational numbers, etc. It provides examples of different types of real numbers. The document also covers properties and operations of real numbers like commutativity, associativity, identity, and distribution. Finally, it defines inequalities and absolute value, providing properties and examples of solving inequalities with absolute value.
Math for Physics Cheat sheet
This document provides a summary of basic math concepts for physics including:
1) Algebraic operations for solving equations for variables such as adding, subtracting, multiplying, and dividing terms.
2) Procedures for calculations with significant figures when adding, subtracting, multiplying, and dividing quantities.
3) How to write numbers in scientific notation and perform calculations using scientific notation such as multiplication, division, powers, and roots.
Presentation1
Here are the steps to solve these integer operations problems:
1. 5 + (-8) = -3
2. -7 – (-9) = -7 + 9 = 2
3. -8 x 6 = -48
4. -9 ÷ (-3) = 3
5. 100 ÷ (-5) = -20
Power point (Tugasan Teknologi Pendidikan)
This document discusses directed numbers including integers, fractions, and decimals. It covers topics like multiplication and division of integers, following order of operations, comparing and ordering fractions and decimals, and performing computations with directed numbers. Key points include: integers can be positive or negative; like signs in integer multiplication/division yield positive results while unlike signs yield negative results; fractions and decimals can be positive or negative depending on their value; and computations with directed numbers must follow standard order of operations.
Similar to 2.7 distributive property day 1 (20)
Variables, Expressions, and the Distributive Property
Variables, Expressions, and the Distributive Property
Final Exam Name___________________________________Si.docx
Final Exam Name___________________________________Si.docx
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2.7 distributive property day 1
- 1. Lesson 2.7 , For use with pages 88-92 Evaluate the expression. 1. 14 + 38 + 16 2. 47 – 9 • 3
- 2. Lesson 2.7 , For use with pages 88-92 Evaluate the expression. 1. 14 + 38 + 16 2. 47 – 9 • 3 ANSWER 20 ANSWER 68
- 6. Distributive Property There is an error in your textbook so make sure you write down the algebra and numbers part in your notes. Words You can multiply a number and a sum by multiplying the number by each part of the sum and then adding these products. The same property applies to subtraction. Algebra a(b+c) = ab + ac a(b-c) = ab - ac Numbers 6(4+3) = 6(4) + 6(3) 7(8-5) = 7(8) – 7(5)
- 10. EXAMPLE 2 Using the Distributive Property = –5 x + ( –5 )(10) Distributive property = –5 x + (–50) Multiply. = 3 x + ( 3 )(8) Distributive property = 3 x + 24 Multiply. a. – 5( x + 10) b. 3( x + 8)
- 11. EXAMPLE 2 Using the Distributive Property = 3 (1) – 3 (20) + 3 (–5) = 3 – 60 + (–15) = 3 + (–60) + (–15) = –72 Distributive property Multiply. Add the opposite of 60 . Add. c. 3 [1 – 20 + (–5)]
- 12. Find the difference mentally. Find the products mentally. The mental math is easier if you think of $11.95 as $12.00 – $.05. Write 11.95 as a difference. You are shopping for CDs. You want to buy six CDs for $11.95 each. Use the distributive property to calculate the total cost mentally. 6( 11.95 ) = 6( 12 – 0.05 ) Use the distributive property. = 6( 12 ) – 6( 0.05 ) = 72 – 0.30 = 71.70 S OLUTION The total cost of 6 CDs at $11.95 each is $71.70.