Expressions and Equations
A juice company fills containers with 75 ounces of juice. The acceptable percentage of error in filling each container is 2.5%.
Select all the expressions that could be used to find the greatest number of ounces of juice each container can hold.
a. 75(1.25)
b. 75(1.025)
c. 75(2.5)+75
d. 75-75(2.5)
e. 75(0.025)-75
f. 75+75(0.025)
b, f
Brandon has a rectangular garden. The garden is 32 feet long and 15 feet wide. He wants to increase the size of the garden by a scale factor of 3. What will be the new length of the garden?
96 feet long
When adding two nonzero numbers that are opposites, select whether each statement is always true, sometimes true, or never true.
1. x and y are odd
2. x and y are positive
3. |x| and the |y| are equal
4. x is positive and y is negative
1. sometimes true
2. never true
3. always true
4. sometimes true
Give an example of a unit rate used frequently in daily life.
Example responses:
Cost per Item
Miles per Hour
Pay per Hour
Students per Class
A student wants to determine the favorite after-school activity of her classmates. Which question can be used to collect data to determine their favorite activity?
A. What did they do in first period?
B. What did they eat for lunch?
C. What do they like to do between 3 p.m. and 5 p.m.?
D. What was their score on the test?
C. What do they like to do between 3 p.m. and 5 p.m.
A student uses a calculator to evaluate the expression.
8,394.9÷42.8
Which estimate is reasonable for the quotient shown on the calculator?
A. about 2
B. about 20
C. about 200
D. about 2,000
C. about 200
A model airplane is built on a scale of 1 inch to 20 feet, if the model is 4 inches long, how long is the real plane?
80 feet
Solve:
31 + (-31)
0
Anne can swim at a rate of 5/8 miles in 1/5 hour.
How many minutes would it take her to swim one mile at this rate. Round to the nearest minute.
188 minutes
A bag contains blue, green, and red marbles. Jenny takes marbles out of the bag, one at a time. She has taken 1 blue, 1 red, and 8 green marbles out of the bag. What is the chance that the next marble Jenny takes out of the bag will be yellow?
Zero chance
Jared spent $1.57, $4.19, $9.87 and $12.40 on school supplies. Which is the best estimate of the total amount of money Jared spent?
A. $26.00
B. $27.00
C. $28.00
D. $29.00
$28.00
A triangle has angles that measure 80º and 60º. What is the measure of the third angle?
40º
Simplify:
-14 - (-23)
9
A student can text 234 words in 4.2 minutes.
What is the unit rate in words per minute? Round to the nearest tenth.
55.7 words per minute
Joe has a bag of gumballs with 3 green, 3 red, 2 blue and 1 yellow. He pulls one out and it is green, he does not put it back. What color of gumball is Joe least likely to pull out of the bag next?
Yellow
The 6th-grade class has 160 students. A field trip for the class costs $5.06 per student. Which amount best estimates how much the field trip will cost?
A. $1,600
B. $800
C. $500
D. $160
B. $800
Angles A, B and C are supplementary. If angle A is 80º and angle B is 30º, what is the sum of angles B and C?
100º
It takes a diver 1/3 of an hour to reach an underwater cave that is 372 feet below the surface.
Create an expression to represent the diver's average speed in feet per hour.
372 ÷ 1/3
David makes a pizza with 8 slices of equal size. He covers 3 of the 8 slices with pepperoni. What percent of the pizza is covered with pepperoni?
37.5%
There is a spinner that has the colors red, blue, red, green, yellow and blue. What are the chances that it will land on red. Answer as a simplified fraction.
1/3
What is the k-value of the equation y = 3/4x?
3/4
A rectangular prism is 7ft wide, 4ft tall and 3ft deep. What is the surface area of the prism?
122 square feet
Describe how to convert a fraction to decimal.
Divide the numerator by the denominator.
What percent of 2,500 is 15?
0.6%
For which experiment would the results most likely be closest to the results predicted by theoretical probability?
A. 7 students each roll a dice 30 times
B. 52 students each roll a dice 30 times
C. 180 students each roll a dice 30 times
C. 180 students each roll a dice 30 times