Free Printable Aspire Review Number System

1.

In which of these situations would the answer to the question be 0?

a)

A ball is dropped from a height of 10 feet. It bounces 5 feet, then comes to rest on the ground. How many feet did the ball travel?

b)

A ball is dropped from a height of 10 feet. It bounces 5 feet, then comes to rest on the ground. How many feet did the ball travel?

c)

Ethan deposited $12.50 into his lunch account. He bought lunch for $12.50. What is the balance of his account?

d)

The wind chill on Monday is -23˚F. On Friday the wind chill is 23˚F. What is the difference between the wind chill on Monday and the wind chill on Friday?

2.

At the beginning of the game the Mustang football team advances 8 yards on first down. On second down they are pushed back 8 yards. How far, in yards, are they from their original point at the beginning of the game?

a)

0 yards

b)

16 yards advanced

c)

8 yards advanced

d)

8 yards back

3.

Gabriel started at 2 as shown on the number line below. If he moved 4 units, which expressions below models this addition?

Select all that apply.

a)

2 + 4

b)

3 + 3

c)

0 + 6

d)

2 + (–4)

e)

0 – 4

4.

Solve 3 + (– 4).

a)

-1

b)

-7

c)

7

d)

1

5.

Consider the equation 8 + x = 0. What must be the value of x ?

a)

-8

b)

0

c)

8

d)

16

6.

What value of x will make the equation a true statement?

(–22 + 14) + x = 0

a)

x = 8

b)

x = -8

c)

x = -36

d)

x = 36

7.

Which story below could describe the expression below?

(–15) + 10

a)

The roller coaster car climbed 15 feet then dropped 10 feet. What is the total distance, in feet, traveled?

b)

$15 was deposited on the debit card. $10 was spent. How much money is available to spend?

c)

The low temperature was –15°F. The high temperature was 10°F. What is the difference between the low temperature and high temperature?

d)

The car drove 15 miles north. It turned and drove 10 miles east. How far is it from the starting point?

8.

A boat leaves the dock and sails 25 miles west. It then turns and sails 11 miles east. Write a sum showing this event.

a)

25 + (–11)

b)

25 + 11

c)

(–25) + (–11)

d)

(–25) + 11

9.

Which expressions are equivalent to $6\frac{5}{11}-\left(-1\frac{2}{3}\right)$ ? Select all that apply.

a)

$6\frac{5}{11}-\left(1\frac{2}{3}\right)$

b)

$6\frac{5}{11}+\left(1\frac{2}{3}\right)$

c)

$6\frac{5}{11}+\left(-1\frac{2}{3}\right)$

d)

$6\frac{5}{11}+\left(+1\frac{2}{3}\right)$

e)

$-6\frac{5}{11}+\left(-1\frac{2}{3}\right)$

10.

Write an expression using addition that is equivalent to the expression below. $9\frac{1}{2}-(-3\frac{7}{10})$

a)

$9\frac{1}{2}+(3\frac{7}{10})$

b)

$9\frac{1}{2}+(-3\frac{7}{10})$

c)

$-9\frac{1}{2}+(-3\frac{7}{10})$

d)

$-9\frac{1}{2}-(-3\frac{7}{10})$

11.

What is the distance between the two points on the number line?

a)

$-6\frac{1}{2}$

b)

$-3$

c)

$3\frac{1}{2}$

d)

$6\frac{1}{2}$

12.

What is the distance between the two points on the number line?

a)

$3$

b)

$-3$

c)

$-1\frac{1}{2}$

d)

$4$

13.

Five friends leave school and drive 2 miles west to Amazing Movies. After the movie they drive 5 miles east for ice cream at Frozen Treats. How many miles are the friends from school when they are at Frozen Treats?

a)

2

b)

3

c)

5

d)

7

14.

Hayley is building a fence. She must set the posts for the fence 6 inches in the ground for stability. If $30\frac{2}{3}$ inches of the post must be above ground, how long, in inches should the original fence post be?

a)

$36\frac{2}{3}$

b)

$24\frac{2}{3}$

c)

$-36\frac{2}{3}$

d)

$25\frac{1}{3}$

15.

Which expressions are equivalent to $-2\frac{1}{6}-(5+1\frac{1}{2})$

Select all that apply.

a)

$\left(5+1\frac{1}{2}\right)-2\frac{1}{6}$

b)

$\left(5+1\frac{1}{2}\right)+2\frac{1}{6}$

c)

$-\left(5+1\frac{1}{2}\right)-2\frac{1}{6}$

d)

$-2\frac{1}{6}+\left(-5-1\frac{1}{2}\right)$

e)

$-2\frac{1}{6}+\left(-5+1\frac{1}{2}\right)$

16.

Which expressions have products that are negative?

Select all that apply.

a)

$(-2)(5)(-3)$

b)

$(-3\frac{2}{5})(-11)(-\frac{3}{8})$

c)

$(-1.8)(4)(-0.3)(17)$

d)

$(-\frac{2}{11})(-2\frac{1}{4})(-7)(-\frac{5}{7})$

e)

$(-1)(3)(-7)(-4)$

17.

Should the final term in the expression below be positive or negative to result in a positive product? Explain your answer.
$(-\frac{7}{10})(-3\frac{1}{4})(-2)(?)$

a)

Term should be negative since there is an odd number of negative terms already.

b)

Term should be positive since there is an odd number of negative terms already.

c)

Term should be negative since there is an even number of negative terms already.

d)

Term should be positive since there is an even number of negative terms already.

18.

Isaiah is going on vacation. The hotel room costs $129.38 each night. He is staying for 4 nights. What will the change to his bank account be after paying for the hotel room?

a)

–$517.52

b)

–$129.38

c)

$129.38

d)

$517.52

19.

A scuba diver descends at a constant rate of 8.2 feet per minute. How far, in feet, will he be 5.5 minutes after he begins his dive?

a)

–45.1 feet

b)

45.1 feet

c)

–13.7 feet

d)

–2.7 feet

20.

Which expressions have a quotient of –2 ?

Select all that apply.

a)

$–220÷–110$

b)

$–33÷–16.5$

c)

$–31.6÷15.8$

d)

$112÷–56$

e)

$150÷75$

21.

Which fractions are equal to $-\left(\frac{3}{11}\right)$ ?
Select all that apply.

a)

$\frac{-3}{11}$

b)

$\frac{-3}{-11}$

c)

$\frac{3}{-11}$

d)

$-\left(\frac{-3}{11}\right)$

e)

$-\left(\frac{3}{-11}\right)$

22.

Which fractions are negative.

a)

$\frac{a}{b}$

b)

$\frac{-a}{b}$

c)

$\frac{-a}{-b}$

d)

$-\left(\frac{-a}{b}\right)$

e)

None

23.

Which fractions are negative.

a)

$-\left(\frac{a}{b}\right)$

b)

$-\left(\frac{a}{-b}\right)$

c)

$\frac{a}{-b}$

d)

$-\left(\frac{-a}{-b}\right)$

e)

None

24.

In which situation could the quotient of –18 ÷ 2 be used to answer the question?

a)

The book bag has 18 books. Each student receives 2 books. How many students are there?

b)

A car drives 18 miles east then 2 miles west. How far is the car from the starting point?

c)

The submarine dove 18 miles over 2 hours. It dove the same amount each hour. How far did it dive each hour?

d)

The temperature in the oven cooled 18˚F for 2 minutes. What was the overall change in the temperature of the oven?

25.

Every month Jessica pays her cell phone bill with an automatic withdrawal from her checking account. After 6 months her checking account has changed by

–$672.84. If she paid the same amount each month and only paid her cell phone bill from that account, how much was her monthly payment?

a)

$112.14

b)

$4,037.04

c)

$560.70

d)

$97.12

26.

Which expressions are equivalent to $\frac{-2}{9}\cdot\left(-5\right)$ ? Select all that apply.

a)

$\frac{2\cdot\left(-5\right)}{-9}$

b)

$\frac{-2-5}{9}$

c)

$-\left(\frac{2\cdot5}{9}\right)$

d)

$\frac{-5}{9}\cdot\left(-2\right)$

e)

$\frac{5}{9}\cdot\left(2\right)$

27.

Evaluate the expression below using the properties of operations.
$12÷(-\frac{2}{3})×3÷(-6)×(-\frac{4}{9})$

a)

$-4$

b)

$-64$

c)

$-1\frac{7}{9}$

d)

$-\frac{1}{9}$

28.

What is the decimal equivalent of $\frac{39}{104}$ ?

a)

$0.0375$

b)

$0.39$

c)

$1.04$

d)

$2.66\overline{6}$

29.

Find the decimal equivalent of $\frac{11}{16}$ ?

a)

$0.6875$

b)

$0.1116$

c)

$0.87$

d)

$1.\overline{45}$

30.

Which rational numbers when converted to decimal form are terminating decimals?

Select all that apply.

a)

$\frac{2}{3}$

b)

$\frac{3}{11}$

c)

$\frac{3}{4}$

d)

$\frac{15}{20}$

e)

$\frac{11}{12}$

31.

When written in decimal form is the fraction $\frac{1}{11}$ a repeating decimal or a terminating decimal?

a)

Repeating

b)

Terminating

32.

At the start of the week there were 16.5 inches of snow on the ground. The snow melted at a rate of 1.2 inches for 5 days. How much snow, in inches, was on the ground after the 5 days?

a)

1.2

b)

10.5

c)

16.5

d)

22.5

33.

A bus travels $\frac{1}{3}$ of the distance between two stops in $\frac{2}{5}$ of an hour. At this rate, how many hours will it take the bus to travel the entire distance between the stops?

a)

$\frac{2}{15}$

b)

$\frac{11}{15}$

c)

$\frac{5}{6}$

d)

$1\frac{1}{5}$

34.

Morgan fills a planter at a constant rate of $\frac{5}{8}$ of a planter every $\frac{1}{6}$ hour. What is the number of planters per hour that Morgan can fill?

a)

$3\frac{3}{4}$

b)

$\frac{5}{48}$

c)

$\frac{19}{24}$

d)

$\frac{4}{15}$

35.

A paving stone has a length of 2.0 feet and a width of 0.5 feet.

The length and width of a second paving stone is proportional to the lengths of the first paving stone.

Which could be the length and width of the second paving stone?

Select all that apply.

a)

1 ft=Length

1 ft=Width

b)

3.5 ft=Length

2 ft=Width

c)

4.8 ft=Length

1.2 ft=Width

d)

6 ft=Length

4.5 ft=Width

e)

7 ft=Length

1.75 ft=Width

36.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

37.

Does this equation represent a proportional relationship?

a)

Yes

b)

No

38.

Does this table represent a proportional relationship?

a)

Yes

b)

No

39.

Does this table represent a proportional relationship?

a)

Yes

b)

No

40.

Does this graph represent a proportional relationship?

a)

Yes

b)

No

41.

Does this graph represent a proportional relationship?

a)

Yes

b)

No

42.

Does this graph represent a proportional relationship?

a)

Yes

b)

No

43.

The table shows a proportional relationship between x and y. What is the constant of proportionality between x and y?

a)

0.75

b)

1.33

c)

2

d)

.5

44.

The distance three bicycles traveled are shown in the table. Only one of the bicycles traveled at a constant rate. Which equation represents y, the distance traveled in x hours, for the one bicycle that traveled at a constant rate?

a)

y = x

b)

y = 2x

c)

y = 3x

d)

y = 4x

45.

Andy is making trail mix. He uses 5 cups of peanuts and 3 cups of dried fruit. To represent the relationship between the number of cups of peanuts, p, and the number of cups of dried fruit, f, he needs to make trail mix, Andy wrote the equation

p = □ f

What number should be placed in the box?

a)

$\frac{5}{3}$

b)

$\frac{3}{5}$

c)

$8$

d)

$2$

46.

This graph shows the relationship between the number of amusement park tickets and the total cost, in dollars, for the tickets.

Select each statement about the graph that is true.

Select all that apply.

a)

The point (0, 0) shows the cost is $0 for 0 tickets.

b)

The point (1, 5) shows the cost is $1 for 5 tickets.

c)

The point (2, 10) shows that 2 tickets costs $10.

d)

The point (4, 20) shows the cost is $4 for 20 tickets.

e)

The point (9, 45) shows that 9 tickets costs $45.

47.

Billie bought a video game console on sale for 35% off the original price. If the video game console originally cost $249, how much money did she save?

a)

$7.11

b)

$87.15

c)

$161.85

d)

$214.00

48.

Cameron works at the animal shelter as a dog washer. If he can wash 3 small dogs in 42 minutes, how long, in minutes, will it take him to wash 21 small dogs?

a)

294 minutes

b)

1.5 minutes

c)

2 minutes

d)

$\frac{1}{3}$ minutes

49.

Where does Annie live?

a)

Foster Place

b)

Orphanage

c)

Grandmother's house

d)

All Girls Home

50.

Why is Ms. Hannigan mean?

a)

She doesn't make much money.

b)

She has a headache.

c)

She doesn't like kids.

d)

Her dog ran away.

51.

What is a saying that Annie said?

a)

Leaping Lizards

b)

Oh Yes!

c)

Sing Sandy

d)

No way!

52.

What is the name of Annie's dog?

a)

Buster

b)

Curly

c)

Grace

d)

Sandy

53.

What is the name of the billionaire that Annie stays with?

a)

Mr. Oliver Warbucks

b)

Mr. Teddy Roosevelt

c)

Mr. Robert Gerlish

d)

Mr. Gerald Howardson

54.

Why was the gentleman upset when he saw Annie at his house?

a)

He wanted a boy.

b)

He wanted a dog.

c)

He didn't get to choose the child.

d)

He didn't like red headed kids.

55.

You're never fully dressed without a _________.

a)

laugh

b)

smile

c)

dance

d)

attitude

Aspire Review Number System

Total questions: 55

Worksheet time: 4hrs 58mins

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