Q3 Benchmark Review

Equations/Inequalities

100

(1,2,3, or 4)Which value of 𝒈 in the number set makes the inequality 𝟕𝒈 > 𝟐𝟏 true?

4

200

Solve the equation to find the value of x 𝟏𝟔𝟑. 𝟐=𝟐. 𝟓x?  

65.28

300

There are more than 𝟐𝟒 different types of sandwiches available at a deli. Create an inequality and a graph to represent the possible total number of different types of sandwiches, 𝒔, available at the
deli?

s > 24

Check for graphs

400

A customer purchases a sports drink for $𝟏.𝟕𝟗 and a banana that costs 𝒙 dollars. If the customer spends a total of $𝟐.𝟑𝟖, write and solve an equation to find the cost of the banana?

$0.59

500

Consider the number set.
𝟏𝟎, 𝟏𝟏, 𝟏𝟐, 𝟏𝟑
Which value of 𝒌 in the number set makes the equation 𝟒(𝒌 + 𝟏) − 𝟑 = 𝟒𝟓 true?

11

Ratios/Rates

100

A home improvement store sells 𝟔 sheets of plywood for $𝟏𝟔𝟐. At this rate, what is the cost of
𝟏 sheet of plywood?

$27

200

A ribbon is 𝟐𝟏𝟎 centimeters long. What is the total length of the ribbon, in meters?

(Note: 𝟏𝟎𝟎 centimeters = 𝟏 meter.)

2.1 meters

300

There are 𝟒𝟐 players on a varsity football team. There are 𝟏𝟖 players who play offense, and the
remaining players play defense.
What is the ratio of players that play defense to the total number of players on the varsity
football team?

34:42

3:4

400

An event planner has spent $𝟐𝟓𝟓 preparing for an upcoming event, which is 𝟑𝟎% of the total
budget for the event. What is the total budget for the event?

$850

500

A fudge recipe calls for 𝟏𝟐 cups of marshmallows for every 𝟑 cups of chocolate chips. Which
ratios correctly relate the cups of chocolate chips to cups of marshmallows? Select ALL that
apply.
A 1 to 3
B 1 to 4
C 3 to 4
D 3 to 12
E 4 to 12

D and B

Number Line/Coordinate Plane

100

Create a number line to graph 𝟒. 𝟓 and it's opposite

Check graphs

200

M is located at -2,-5 on a coordinate plane. If point 𝑴 is reflected across the 𝒚-axis, what are the coordinates of the reflected point?

(2,-5)

300

What is the distance between the points (𝟐, −𝟗) and (𝟐, 𝟏) on a coordinate plane?

10

400

An event planner marks the locations of two water stations on a coordinate plane, where each
unit represents 𝟏 mile. The first water station is at (𝟏, 𝟓), and the second water station is at
(𝟔, 𝟓). What is the distance between the two water stations?

5 miles

500

True or False: −2 is less than −3 because −2 is located below −3 on a vertical number line.

BONUS: Explain why you chose true or false 

False

Expressions

100

A teacher gives 𝟔 pencils to each student in a class at the beginning of the school year. If there
are 𝒙 number of students in the class, write an expression represents the total number of pencils
that the teacher gives to the class of students?

6x

200

Which expression is equivalent to 𝟔(𝟓𝒚 + 𝟏)?

30y + 6

2(15y + 3)

3(10y + 2)

300

Which expression is equivalent to 𝟎. 𝟕 × 𝟎. 𝟕 × 𝟎. 𝟕? 

BONUS: Evaluate the expression

0.7^3

0.343

400

Write an expression to represent the following sentence

six more than the product of fifteen and a number, 𝑞

15q+6

500

Which expressions are equivalent to 𝟗𝒙? Select ALL that apply.
A 3(2𝑥)
B 3(3𝑥)
C 3𝑥 + 3
D 3𝑥 + 3𝑥
E 6𝑥 + 3𝑥

B and E

Mixed Review

100

What is the greatest common factor of 𝟑 and 𝟗?

3

200

A farmer plants 𝟏, 𝟓𝟏𝟐 tree saplings in equal rows in a field. If there are 𝟒𝟐 rows of tree
saplings, how many rows did the farmer plant?

36 Rows

300

n science class, a student uses the expression 𝟓/𝟗 × (𝑭 − 𝟑𝟐) to convert a temperature given in
Fahrenheit, 𝑭, into Celsius. If 𝑭 = 𝟖𝟔, what is the value of the expression?

30 Degrees

400

Which mathematical word describes both 𝟐.𝟐𝟓 and 𝟔. 𝟕𝟓 in the expression

𝟐. 𝟐𝟓𝒙 + 𝟔. 𝟕𝟓𝒙 − 𝟓. 𝟓?

Coefficient

500

What is the value of the expression (𝟒 + 𝟓)^𝟐 ÷ (𝟐^𝟒 − 𝟕)?

9