Ratios and Rates
Proportional Relationships
Percents and Probability
Sum and Differences of Rational Numbers
Products and Quotients of Rational Numbers
Algebraic Expressions
Equations and Inequalities
100
Simplify the ratio 4 : 10.
2 : 5, 2 to 5 or 2/5
100
What is the value of x in the proportion?
3/5 = 6/x
10
100
Write 4/5 as a decimal and percent.
0.8 and 80%
100
What is the value of the expression below?
1/2 + (-1/8)
3/8
100
What is the value of 2/5 div 6/11 ?
11/15
100
Simplify 5 (x - 3) using the Distributive Property.
5x - 15
100
What is the solution of the equation below? 2(m-6)=8
m=10
200
In a class, 8 out of 10 students had short hair. What is the ratio of students who had short hair to all students?
4 : 5, 4 to 5 or 4/5
200
Robert bought 2 packages of cookies for $8.00. How much would 5 packages of cookies cost?
$20.00
200
What is 20% of 80?
16
200
What is the value of 7.4-(-2.5)?
9.9
200
What is the value of the expression? 2(-7+4)^2
18
200
Simplify the expression 8+2x-4-5 .
2x-5
200
Solve the equation h/5 = 4
h=20
300
Find the unit rate: (20 meters)/(0.5 min)
40 meters per minute
300
If the values in the table below model a proportional relationship, what is the constant of proportionality?
5
300
Kyle went to lunch. His bill was $12.00. He left a 20% tip. How much money did Kyle pay for lunch including tip?
$14.40
300
During a two-day golf tournament, Juan scored −4 on the first day and −6 on the second day. What was his overall score for the tournament?
-10
300
Val runs 1 1/2 miles each day. She has run for 4 days. How far has she run altogether?
6 miles
300
Factor the expression 4x+24 using the greatest common factor.
4(x+6)
300
What is the solution to the inequality shown below? 3x+10<13
x<1
400
It rained 12.8 inches in 4 hours. How many inches did it rain per hour?
3.2 inches per hour
400
The triangles have a scale factor of 2 : 5.
What is the value of x?
10
400
Jon had a deck of cards numbered 1 to 10. He randomly chose a card from the deck. Find P(even).
1/2
400
Maddie had 86.7% in math class. She did not do well on her last test and her grade changed by −2.3%. What is her new grade?
84.4%
400
Zane has 3.6 cups of orange juice. He wants to divide it up into 1.2 cup servings. How many servings will he have?
3 servings
400
2y-3k when y=8 and k=6.
-2
400
x >= -3
500
The two figures below have a scale factor of 3 : 1. What is the value of y?
12
500
A proportional relationship is modeled by the equation y = 2x. Complete the table and give the constant of proportionality.
C.O.P = 2
500
There are 9 red, 6 blue, and 5 green marbles in a bag. What is the probability a marble chosen at random will be blue?
3/10
500
Charles entered a race that was 5.1 kilometers long. After 10 minutes, he had run 1.8 kilometers. How many more kilometers does Charles have to run?
3.3 kilometers
500
Find the value of the expression. (-3+5)^2 / (9-5)
1
500
Simplify the expression -3(2x+3)
-6x-9
500
Write an algebraic equation for the sentence. Solve the equation.
Three less than the quotient of x and five is two.
x/5 - 3=2 : x = 25