Ratios and Proportional Relationships
The Number System
The Number System
The Number System
Expressions and Equations
100

Jordan has 3 blue marbles and 8 red marbles. What is the ratio of blue marbles to red marbles?

A. 3: 3

B. 3: 5

C. 3: 8

D. 3: 11

C. 3: 8

100

A paint mixture uses a specific blue to green ratio. Complete the table using the ratio given. Paint Mixture

Blue Paint   Green Paint

     2                  5

     4                 __

     6                 __ 

10,15

100

An expression is shown. 2312.2 + 3.4 What is the value of the expression?

2315.6
100

Chicago, Illinois has an elevation of 600 feet above sea level. The elevation of Desert Shores, California is −200 feet.

Select all the true statements.

A. Desert Shores is above sea level.

B. Desert Shores is at sea level.

C. Desert Shores is below sea level.

D. The difference in the elevations is less than 600 feet.

E. The difference in the elevations is 600 feet.

F. The difference in the elevations is more than 600 feet.

C. Desert Shores is below sea level.

E. The difference in the elevations is 600 feet.

100

The elevations of several cities are shown. Select which city has the greatest elevation and which city is farthest from sea level.

Chicago, IL 600 feet 

Desert Shores, CA -200 feet 

Orlando, FL 80 feet

Highest Elevation - Chicago, IL 600 feet

Farthest from Sea Level - Chicago, IL 600 feet

200

Jordan has a jar of blue, red, and yellow marbles, as shown.

In the jar

3 blue marbles

4 red marbles

2 yellow marbles

Complete the table to show the ratio of blue marbles to yellow marbles.

Ratio of Blue to Yellow

3:2
200

An expression is shown. 4/ 5 ÷ 8/7 What is the value of the expression?

7/10
200

What is the greatest common factor of 15 and 20?

5
200

Desert Shores, California is located at an elevation that is below sea level. What is a possible elevation of Desert Shores, California?

A. 600 feet

B. 500 feet

C. −200 feet

D. 0 feet

C. −200 feet

200

Which value is equivalent to the expression 4 to the 5th?

A. 9

B. 20

C. 625

D. 1024

D. 1024

300

A jar of marbles is shown.

Red -1

Green - 3

Yellow- 2

Blue - 2

Complete the table to show the ratios. Ratios of Marbles

Red: Green

Blue: Total Marbles

Red: Green 1:3

Blue: Total Marbles 2:8

300

An expression is shown. 2  1/ 4 ÷ 1   2/5

What is the value of the expression?

1  17/28
300

What is the least common multiple of 7 and 12?

84
300

What is the opposite of −5?

5
300

Select all expressions that are equivalent to 8 ∙ 8 ∙ 8 ∙ 8 ∙ 8.

A. 8 to the 5th

B. 8 to the 1st ∙ 8 to the 5th

C. 8 to the 2nd ∙ 8 to the 3rd

D. (2to the 3rd) to the 5th

E. 5(2 to the 3rd)

A. 8 to the 5th

C. 8 to the 2nd ∙ 8 to the 3rd

D. (2to the 3rd) to the 5th

400

Which statement describes a unit rate?

A. Sara ate 1 cookie.

B. Sara is driving 16 miles.

C. Sara is driving 30 miles per 1 hour.

D. Sara ate 3 crackers and 1 apple.

C. Sara is driving 30 miles per 1 hour.

400

An expression is shown. 2925 ÷ 15 What is the value of the expression?

195
400

Which expression is equivalent to 8 + 20 ?

A. 4(4 + 20)

B. 4(2 + 5)

C. 2(2 + 10)

D. 2(6 + 18)

B. 4(2 + 5)

400

What is the value of the

-4
400

Which expression has a coefficient of 2? A. 3

B. 2

B. 2

500

Tom knows that in his school 10 out of every 85 students are left-handed. There are 391 students in Tom’s school.

How many students in Tom’s school are left-handed?

46 students
500

The standard length of film on a film reel is 300 meters. On the first day of shooting a movie, a director uses 30% of the film on one reel.

How long is the strip of film that was used?

90 meters
500

An equation is shown.

30 + 12 = ? (5 + 2)

What factor is missing from the equation?

6
500

Which value is furthest from 0 on the number line?

A. 20

B. −21

C. |20.5|

D. | − 21.5|

D. | − 21.5|

500

Jeffrey’s brother Max is 5 years older than twice Jeffrey’s age.

Write an expression that represents the relationship of Max’s age in terms of Jeffrey’s age, j.

2j + 5
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