Ratios and Rates
Expressions
Equations
Inequalities
Algebraic Representations
100
Donald’s Donuts makes both chocolate and plain glazed donuts. Each Saturday, they make 13 plain glazed donuts for every 7 chocolate glazed donuts. What is the ratio of chocolate glazed to plain glazed?
7:13
100
Write 54 in expanded form.
5 ⋅ 5 ⋅ 5 ⋅ 5
100
Solve for x...
x + 9.5 = 35
x = 25.5
100
Solve for r...
r – 4.5 < 11
r < 15.5
100
List the independent quantities.
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
or
2, 4, 6, 8, 10
200
The tallest man living is Sultan Kosen from Turkey. He measures 251 cm. How many meters tall is he? (There are 100 centimeters in a meter).
2.51
200
What is the prime factorization of 120?
23・3・5
200
Solve for x...
x = 120
200
Solve for x...
-7x < 98
x > -14
200
What is the dependent variable?
Amount Earned (D)
300
At a local daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?
243
300
(122 – 20) – 18
106
300
Which of the following cannot be written as an equation?
A. three times a number is twenty-seven
B. one-half a number plus four
C. the quotient of a number and twelve is five
D. six is two less than a number
B. one-half a number plus four
300
Solve for x...
x/6 ≥ 7
x ≥ 42
300
What type of relationship does the graph show?
Multiplicative
400
Mr. Leyva paid $18.72 for 8 gallons of gas. He then passed by another gas station advertising $2.29 per gallon. How much money would he have saved if he had waited and purchased gas at the second location?
$0.40
400
Jamie was struggling to multiply two-digit numbers together. Mrs. Pipkin helped her with the problem (13 ⋅ 20) ⋅ 5 by multiplying 20 by 5 and then by 13, which is 1,300. What property did Mrs. Pipkin use?
Associative Property
400
Miles can type 35 words per minute. Let w represent the number of words and m represent the minutes. Which equation best represents this situation?
A. 35w = m
B. 35 + w = m
C. 35m = w
D. m/35 = w
C
400
Madeline must earn at least 80 points for her science fair project. So far on the rubric she has 64 points. Write and solve an inequality to show how many points Madeline needs.
x ≥ 16
400
Write an equation that represents the table below.
c = r + 5
500
A contractor has 16 gallons of paint which will cover 2,912 square feet. Which of the following rates best represents the relationship between the number of square feet and the number of gallons of paint?
A. 182 gallons of paint per square foot
B. 2,912 gallons of paint per square foot
C. 182 square feet per gallon of paint
D. 16 square feet per gallon of paint
C. 182 square feet per gallon of paint
500
82 – 6(7 – 4) + 2
48
500
The sum of the measures of two angles is 107.3°. One angle has a measure of 51°. What is the measure of the second angle?
x = 56.3º
500
Which graph represents the inequality 7.5 < x?
A
500
Write an equation for the graph below.
y = 75x