Number Sense and Operations
Ratios and Proportional Relationships
Generate Equivalent Expressions
Geometry
Statistics and Data Analysis
100
Simplify the expression shown.
(2 + 4) + (–5) – (–2 + 4) + 1
0
100
Taylor and Kevin are both on the cross-country team. Taylor runs a mile in 8 minutes (min), and Kevin runs a mile in 6 min. Which equation represents the relationship between the number of miles Taylor (t) and Kevin (k) run in 1 hour if they maintain the same average rates?
t=3/4k
100
What is the equivalent expression to the expression shown?
–3(–4x + 2)
12x - 6
100
A cylindrical paint can has a diameter of 538 inches (in.) and a height of 578 in. What is the approximate volume, in cubic inches (in3), of the paint can?
133.31 in3
100
Kara is on the dance planning committee. She wants to know which songs are most popular among students at her school. All 6th-, 7th-, and 8th-grade students are invited to attend the dances. Which sample is most representative for her research?
music with headphones in the lunchroom
randomly selected students from music classes at her school
randomly selected students from the 6th, 7th, and 8th grades at her school
randomly selected students from the 7th, 8th, and 9th grade dances who attended school dances the previous year
randomly selected students from the 6th, 7th, and 8th grades at her school
200
What decimal is equivalent to 114?
2.75
200
Jack ran 12 mile in 5 minutes. How fast was Jack running in miles per hour (mph)?
6 mph
200
Which expression is equivalent to the expression shown?
3(–5x + 2) + 20x – 7
5x - 1
200
TOOLBOX SHOW
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- MarkA wooden board is shown with measurements in inches (in.). Two circular pieces have been cut from the board. The circumference of each circular piece is 6π in.
When the circular pieces are removed, what is the area of the board, in square inches (in2), in terms of pi?
__________(pi)in2
200
Roberto scored 5 points, 7 points, and 6 points, respectively, in each of 3 basketball games. Which is the best estimate for Roberto's total points scored during the 14-game season?
66 points
84 points
198 points
252 points
84 points
300
Griffin is baking a cake, brownies, and cookies. Each recipe uses flour: 112 cups for the cake, 12 cup for the brownies, and 2 cups for the cookies. A new bag of flour has 16 cups in it. Griffin has a bag that is 34 full before baking. How many cups of flour will Griffin have left after baking the cake, brownies, and cookies?
8
300
Tim's bill at a restaurant is $40.00. Tim pays the bill, adding a tip of 25% for the server. What is the total amount of money Tim spends at the restaurant?
$50
300
Simplify the expression shown.
(3x + 2) + (–x + 7)
2x + 9
300
Henry builds a tower out of blocks with dimensions in inches (in.). The width and height of the tower are shown.
The volume of the tower is 144 cubic inches. What is the length of the tower?
3 inches
300
A random sample of 25 students in a school shows that 6 have no siblings, 9 have 1 sibling, 8 have 2 siblings, and 2 have 3 or more siblings. About how many students would be expected to have at least 2 siblings in a population of 225?
72 students
80 students
90 students
100 students
90 students
400
Simplify the expression shown.
3 – 2 + (–1) – (–3) + 2
5
400
Which equations represent a proportional relationship?Write all that apply.
y=3x
y=3x+1
2y=x
2y=3x
2y=3x-3
y=3x
y=3x+1
2y=x
2y=3x
400
Factor the expression shown.
21x – 56
7(3x-8)
400
A cylindrical water jug has a height of 20 inches (in.) and a radius of 5 in. The jug is filled at a rate of 155 cubic inches per minute (min). How many minutes will it take to completely fill the jug? Enter your answer in the box, rounded to the nearest minute.
10 inches
400
Sam plans to conduct a survey to determine whether students in his high school think creative writing should be a required class. Which sample should Sam use for the survey as representative of the population?
a group of 20 students in a creative writing class
a group of 20 students NOT in a creative writing class
a group of 20 randomly selected students on the high school roster
a group of 1 freshman, 1 sophomore, 1 junior, and 1 senior
a group of 20 randomly selected students on the high school roster
500
What is the value of the expression shown?
18 ÷ 3(2 + 1) × 2
36
500
Complete the ratios so that each ratio has the same constant of proportionality as 3 cats : 5 dogs
_______ donuts: 15 muffins
6 doors: ________ windows
9 donuts: 15 muffins
6 doors: 10 windows
500
Simplify the expression shown.
–4(2 + 3x)
-8 - 12x
500
A circle is inscribed within a square with a side length of 6 inches (in.).
What is the area of the shaded region?
9(4-pi)
500
Which statement is always true for a sample to be representative of any population?
The sample needs to include randomly selected participants.
The sample needs to include equal numbers of males and females.
The sample needs to include opinionated participants.
The sample needs to include at least half of the population.
The sample needs to include randomly selected participants.