1. The document is an algebra quiz review with two parts - applications and cumulative review.
2. Part I has expressions to evaluate and write, as well as word problems about ages and operations on variables.
3. Part II reviews order of operations, evaluating expressions, and uses four steps to solve a word problem about sandwich combinations.
Solution manual for a survey of mathematics with applications 8th edition by ...AliDan123
Link download full: Solution Manual for A Survey of Mathematics with Applications 8th Edition by Allen R. Angel, Christine D. Abbott and Dennis C. Runde
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Solution manual for a survey of mathematics with applications 8th edition by ...AliDan123
Link download full: Solution Manual for A Survey of Mathematics with Applications 8th Edition by Allen R. Angel, Christine D. Abbott and Dennis C. Runde
https://digitalcontentmarket.org/download/solution-manual-for-a-survey-of-mathematics-with-applications-8th-edition-by-angel-abbott-and-runde/
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Pre-Calculus Quarter 4 Exam
1
Name: _________________________
Score: ______ / ______
1. Find the indicated sum. Show your work.
2. Locate the foci of the ellipse. Show your work.
𝑥2
36
+
𝑦2
11
= 1
Pre-Calculus Quarter 4 Exam
2
3. Solve the system by the substitution method. Show your work.
2y - x = 5
x2 + y2 - 25 = 0
4. Graph the function. Then use your graph to find the indicated limit. You do not have to
provide the graph
f(x) = 5x - 3, f(x)
5. Use Gaussian elimination to find the complete solution to the system of equations, or state
that none exists. Show your work.
4x - y + 3z = 12
x + 4y + 6z = -32
5x + 3y + 9z = 20
Pre-Calculus Quarter 4 Exam
3
6. Solve the system of equations using matrices. Use Gaussian elimination with back-
substitution.
x + y + z = -5
x - y + 3z = -1
4x + y + z = -2
7. A woman works out by running and swimming. When she runs, she burns 7 calories per
minute. When she swims, she burns 8 calories per minute. She wants to burn at least 336
calories in her workout. Write an inequality that describes the situation. Let x represent the
number of minutes running and y the number of minutes swimming. Because x and y must be
positive, limit the boarders to quadrant I only.
Short Answer Questions: Type your answer below each question. Show your work.
8. A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that
each of these statements is true. Show your work.
Sn: 1
2
+ 4
2
+ 7
2
+ . . . + (3n - 2)
2
=
𝑛(6𝑛2−3𝑛−1)
2
Pre-Calculus Quarter 4 Exam
4
9. A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying
Sk+1 completely. Show your work.
Sn: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3
10. Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and
70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast
blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea
and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade
tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on
each pound of the afternoon blend, how many pounds of each blend should she make to
maximize profits? What is the maximum profit?
11 Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86
and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a
$35 profit on each one. You expect to sell at least 100 laser printers this month and you need to
make at least $3850 profit on them. How many of what type of p
Maths: Multiplication Worksheet (CBSE Grade II )theeducationdesk
1.1 Repeated addition & Equal Groups
1.2 Skip Counting to Multiply
1.3 Multiplication Order
1.4 Multiplication by 0, 1, 10
1.5 Tables of 2,3,4,5,10
1.6 Multiply without carry
1.7 Story Problems
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1. Name __________________________ Date ___________________
Mrs. Labuski & Mrs. Rooney Per ___ Algebra Quiz Review
Part I: Applications
1.)Evaluate each expression to find the missing values in the table.
a a+4
10 14
12
14
y y÷3
18 6
30
42
2.)Find an expression for each table.
s
20 4
25 5
30 6
b
30 42
42 54
66 78
3.) Charles is 3 years older than Paul. If y represents Paul’s age, what
expression represents Charles’s age?
_______________
2. 4.) Write each phrase as a numerical or algebraic expression.
14 less than s t multiplied by 7 the quotient of 150 and 5
___________ ____________ ____________________
5.) Write a phrase for each expression.
5t x d+5
8
___________ ________________ _______________
Part II: Cumulative Review
6.)Evaluate the expression.
7 • 8 + (2 • 4) ÷ 22
7.) Find the value of 3(4+2)
3. 8.) Circle the property
(2 + 3) + 5 =2 + (3 + 5)
Commutative Property Associative Property Distributive Property
Use the four step problem solving method to solve.
Margaret is having lunch. She eats a lot of sandwiches. She makes
sandwiches with white bread and rye bread. She uses either cheese, jelly,
or lunch meat. How many different sandwiches could she make for her
lunch?
4. Name __________________________ Date ___________________
Mrs. Labuski & Mrs. Rooney Per ___ Algebra Quiz Review
Part I: Applications
1.)Evaluate each expression to find the missing values in the table.
a a+4
10 14
12 16
14 18
y y÷3
18 6
30 10
42 14
2.)Find an expression for each table.
5. s s÷5
20 4
25 5
30 6
b b + 12
30 42
42 54
66 78
3.) Charles is 3 years older than Paul. If y represents Paul’s age, what
expression represents Charles’s age?
__y + 3_____________
4.) Write each phrase as a numerical or algebraic expression.
14 less than s t multiplied by 7 the quotient of 150 and 5
_s-14 7t 150 ÷ 5
5.) Write a phrase for each expression.
5t x d+5
6. 8
5 times t x divided by 8 5 added to d
the product of 5 and t the quotient of x and 8 d plus 5
Part II: Cumulative Review
6.)Evaluate the expression.
PE/MD/AS
→ →
7 • 8 + (2 • 4) ÷ 22
7 • 8 + (8) ÷ 22
7•8+8÷4
56 + 8 ÷ 4
56 + 2
58
7.) Find the value of 3(4+2)
(3 • 4) + (3 • 2)
12 + 6
18
8.) Circle the property
(2 + 3) + 5 =2 + (3 + 5)
Commutative Property Associative Property Distributive Property
Use the four step problem solving method to solve.
Margaret is having lunch. She eats a lot of sandwiches. She makes
sandwiches with white bread and rye bread. She uses either cheese, jelly,
or lunch meat. How many different sandwiches could she make for her
lunch?
7. UNDERSTAND PLAN
FACTS Make a List
white bread or rye bread
cheese, jelly, or lunch meat.
QUESTION
How many different sandwiches could
she make for her lunch?
SOLVE CHECK
Cheese with white
White and cheese Cheese with rye
White and jelly Jelly with white
White and lunch meat Jelly with rye
Rye and cheese Lunch meat with white
Rye and jelly Lunch meat with rye
Rye and lunch meat
My answer matches the
question.
Answer in a full complete sentence:
She made 6 different sandwiches for
her lunch.