Number System
What is the distance between -12 and 8 on a number line?
20
Write an equivalent expression by combining like terms.
13x + 7y - 3x
10x + 7y
There are 162 calories in a serving of yogurt. If a serving is 3/4 cup, how many calories are in 1 cup?
216 calories
A pool measures 30 feet by 66 feet. On a map of the pool, it measures 5 in. by 11 in. What is the scale of the drawing?
1 in. = 6 feet
Kayla randomly surveyed the eighth- grade classes at her school and found that 12 of 50 own a pet. Based on these data, how many of the 150 eighth-grade students in Kayla’s school would be expected to own a pet?
36
What is the value of the expression?
-9 + 5 - 4
8
Find the difference of the expressions.
(5/7x - 2) - (2/7x + 8)
3/7x - 10
Is this relationship proportional? Explain.
Pizzas: 1 2 3
Cost: 8 13 18
No because there is not a constant of proportionality (k = y/x)
Can a triangle be formed with side lengths of 5 in., 7 in., and 12 in? Explain.
No, the sum of the two shorter sides is not greater than the 3rd side.
Name a measure of variation.
Median, range, or interquartile range
Describes how spread out the data are
Write an equivalent expression by moving the negative sign:
-2/5 * 1/4
2/-5 * 1/4
2/5 * -1/4
2/5 * 1/-4
2/-5 * -1/-4
Coca-cola has increased the price of their soda by 65%. Write an expression to represent the new cost of the soda if the original price was p dollars.
1.65p
The values in the table are in a proportional relationship. What is the constant of proportionality?
x 10 15 20 25 30
y 2 3 4 5 6
k = y/x
k = 1/5
If the area of a circle is 153.86 centimeters squared, what is the diameter? (Use 3.14 for pi)
14 cm
The probability of an event occurring can be represented by the number 1. How likely is the event to occur?
Certain
What is the value of the expression?
-4.5 * -2/3
3
Maya spent $61 shopping at the mall. She bought jeans for $36.75 and x number of shirts for $24.25 each. How many shirts did Maya buy?
3
Lana makes $8.50 per hour making snow cones. Write an equation to represent her earnings, e, relative to the number of hours, h, she worked.
e = 8.5h
What is the name for angles whose measures add up to be 90 degrees?
complementary angles
The yearbook club is handing out T-shirts to its members. There are 4 blue, 8 green, 7 red, and 6 yellow T-shirts in all. If Jacob is handed the first T-shirt at random, what is the probability that it is yellow?
6/25
What is the decimal equivalent of 3 13/20 ?
3.65
Solve the inequality:
3c - 12 < -9
x < 1
It takes Ana 3 hours to read 150 pages. At this rate, how long will it take her to read 500 pages?
10 hours
A triangular prism has a volume of 49 meter cubed. If the area of the base is 14 meter squared, what is the height?
7 meters