1. find the digit that makes 3,71_ divisible by 9.
a. 3
b. 7
c. 1
d. 5
2.list all the factors of the number 30.
a. 1, 2, 3, 5, 6, 10, 15, 30
b. 2, 3, 4, 10, 20, 30, 40
c. 1, 2, 4, 5, 10, 15, 30
d. 1, 2, 4, 5, 8, 10, 20, 40
3. find the prime factorization of the number 168.
a. 24 x 3 x 7
b. 23 x 3 x 7
c. 24 x 33 x 13
d. 23 x 33 x 7
4. find the gcf of the numbers 140 and 180.
a. 20
b. 90
c. 30
d. 10
5. the weights of 3 bags containing footballs are 15 oz, 30 oz, and 60 oz. the greatest common factor of 15, 30, and 60 gives the weight of each ball in the bags. what is the weight in ounces of each ball?
a. 3
b. 5
c. 15
d. 105
6. identify the fraction that is equivalent to three-eighths.
a. 15/32
b. 12/32
c. 12/24
d. 9/32
7. heather drove 10 miles in 22 minutes. which is the simplest form of 10/ 22 end fraction?
a. 2/5
b. 1/5
c. 5/11
d. 5/12
8. by the age of 27, justin had visited 25 of the 50 states. what fraction of the states had justin visited? write the answer in simplest form.
a. 2/ 1
b. 25/ 50
c. 1/ 2
d. 1/3
9. sarah is making her own halloween costume. the costume requires 2 start fraction 5 over 8 end fraction yards of materials. write the number of yards needed for sarah’s halloween costume as an improper fraction.
a. 7/8 yards
b. 5/4 yards
c. 7 yards
d. 21/8 yards
10. find the length of the segment. write the mixed number in simplest form.
the inch just past 4 inches.
a. 3 and 1/2 inches
b. 3 and 3/4 inches
c. 3 and 5/8 inches
d. 3 and 11/16 inches
11. write three and 7/8 as an improper fraction and as a mixed number.
a. 17 over 8, 3 and 7 over 8
b. 31 over 8_img, 3 and 7 over 8
c. 31 over 8_img, 7 and 3 over 8
d. 59 over 8, 7 and 3 over 8
12. use prime factorization to find the lcm of 30 and 46.
a. 1,380
b. 2
c. 76
d. 690
13. yoko, daniel, and rami went for a bike ride in the park today. yoko bike rides at the park every 3 days. daniel bike rides at the park every 6 days. rami bike rides at the park every 7 days. find the least common multiple of 3, 6 and 7 to determine how many days will pass before all three bike ride at the park on the same day again.
a. 16
b. 42
c. 63
d. 126
14. compare the pair of numbers. use < , =, or > .
three-fourths 33 over 40
a. three-fourths > 33/ 40
b. three-fourths < 33/40
c. three-fourths = 33 /40
15. write the decimal as a fraction or mixed number in simplest form.
6.35
a. 6 and, 1 over 5
b. 6 and, 3 over 10
c. 6 and, 7 over 20
d. 6 and, 7 over 25
16. write the fraction as a decimal.
start fraction 28 over 15 end fraction

a. 1 point modifying above 6 with bar
b. 1 point 8 modifying above 6 with bar
c. 2 point 8 modifying above 6 with bar
d. 28 point 1 modifying above 5 with bar
17. three friends said their heights were 5 and start fraction 13 over 30 end fraction feet, 5 and one-sixth feet, and 5 and start fraction 68 over 90 end fraction feet. put the heights of the friends in order from least to greatest.

a. 5 and 68 over 90 < 5 and 13 over 30 < 5 and one-sixth
b. 5 and 13 over 30 < 5 and one-sixth < 5 and 68 over 90
c. 5 and one-sixth < 5 and 68 over 90 < 5 and 13 over 30
d. 5 and one-sixth < 5 and 13 over 30 < 5 and 68 over 90

18. kaylin recorded how much she grew in inches each month for four months and recorded the results as: 0.75, 0.3215, three-eighths, start fraction 9 over 16 end fraction. list the inches she grew each month in order from least to greatest.
a. three-eighths, 0.75, 0.3125, 9 over 16
b. 0.3215, three-eighths, 9 over 16 , 0.75
c. 0.3125, 9 over 16 , 0.75, three-eighths
d. three-eighths, 9 over 16 , 0.75, 0.3125

19. write an equivalent expression for 8x + 6 using the distributive property.
a. 2(2x + 3)
b. 2(4x + 3)
c. 8(x + 6)
d. x(8 + 6)

20. write an equivalent expression for 3f + 4s + 2f
a. 9fs
b. 7fs + 2f
c. 5f + 4s
d. 12fs
21. the length of the boston marathon is 138,435 ft. each stride, or step, by a particular runner is 3 ft long. does the number of strides the runner takes fit evenly into the length of the race? explain.

22. marietta is selling cheeses for the holiday fundraiser. on monday, she sold seven-ninthsof the boxes of cheeses. on tuesday she restocked her supply and sold 0.85 of the boxes of cheeses. on which day did marietta sell more boxes? explain.

23. patsy has cheerleading practice every fourth day. she wants to be in the school play, but they have practice every sixth day. if both start on september 5th, what would be the next date she has to choose between cheerleading and play practice? show your work and explain.

24. is 38 over 53 in simplest form? explain why or why not. if not, write it in simplest form.

25. a number is written with the following factorization: 22 × 3 × 54 × 8 × 112. is this factorization a prime factorization? explain why or why not. if it is not correct, give the correct prime factorization of the number.

sorry for so much questions, but its for a good price