Ratios, Rate and Unit Rates

1.

1 point

Evaluate the expression 10 + 3 ∙ 10 - 4.

28

36

18

126

2.

1 point

Marco’s brother is 4 years older than Marco. This year Marco’s brother is 29. If b is Marco’s age, the equation b + 4 = 29 represents this situation. How can you get the variable aloneon one side of the equation?

Add 29 to both sides.

Subtract 4 from both sides.

Multiply both sides by 4.

Add 4 to both sides.

3.

1 point

Eighteen people entered a race. Two people didn’t finish the race. What is the ratio of those who finished and race to those who entered?

1:8

1:18

8:9

9:8

4.

1 point

Which shows "45 lawns mowed in 15 days" as a unit rate?

6 lawns mowed per 2 days

9 lawns mowed in 3 days

15 lawns mowed per day

3 lawns mowed per day

5.

1 point

Nora has $13.50. She receives a paycheck for $55. She spends $29.40. How much money does she have now?

$39.10

$39.01

$31.40

$31.04

6.

1 point

12 pages are read in 2 days, how many pages are read in 1 day?

6 pages

1 page

12 pages

1.2 pages

7.

1 point

Lillianne made 6 out of every 10 baskets she attempted during basketball practice. If she attempted to make 25 baskets, how many did she make?

15

13

14

12

8.

1 point

What is the greatest common factor of 36 and 63?

3

9

6

18

9.

1 point

A track runner can run 4 miles in 20 minutes. How many minutes does it take him to run 1 mile?

4 minutes

5 minutes

15 minutes

20 minutes

10.

1 point

Hattie jumps rope 57 times in 3 minutes. If Hattie jumps at a constant speed, how many times will she jump in 1 minute?

19 times

63 times

152 times

171 times

11.

1 point

At the first baseball game of the season, every 6th person entering will receive a coupon for a free hot dog. Every 10th person will receive a coupon for a free drink. What is the number of the first person to enter the ballpark and receive a coupon for a free hot dog and a free drink?

16th

10th

60th

30th

12.

1 point

One shade of purple paint is made by mixing 2 pints of red and 5 pints of blue paint. Charley has 20 pints of blue paint. How many pints of red paint does he need to make the purple paint?

4 pints

12 pints

6 pints

8 pints

13.

1 point

A pipe has a leak that fills 1 bucket in 30 minutes. At this rate, how long will it take to fill 6 buckets?

2 hours

3 hours

6 hours

12 hours

14.

1 point

A market sells granola for $1.60 per ounce. Which of these is true?

24 ounces would cost $38.40

8 ounces would cost $0.20

12 ounces would cost $13.60

16 ounces would cost $16.16

15.

1 point

Which equation represents the sentence below?

The product of number and 6 is 138.

6 + n = 138

6n + 138

6n = 138

6 + 138 = n

16.

1 point

A drawing contained 5 circles, 8 triangles, and 6 squares. What is the ratio of circles to squares?

5:6

6:5

5:8

5:14

17.

1 point

What is the first step in evaluating the expression 6 (2.2 + 5.8) – 10 + 2

add: 10 + 2

add: 2.2 + 5.8

multiply: 6 * 2.2

multiply: 6 * 5.8

18.

1 point

Which answer shows the expression 16 + 64 factored using the Greatest Common Factor?

2(8 + 32)

8(2 + 8)

16(1+4)

4(4 + 16)

19.

1 point

Simplify the following expressions by combining like terms.

7x + 8x + x + 3

16x + 3

19x

15x + 3

15x + 4

20.

1 point

It takes 4 pints to fill one jug of water. David needs to fill 8 jugs. How much water does he need to fill the jugs in quarts?

16 quarts

64 quarts

48 quarts

8 quarts