Unit 1+2 Test Review

GCF and LCM

100

Nora has two pieces of thread, one 20 feet long and the other 16 feet long. For a sewing project, she needs to cut them up to produce many pieces of thread that are all of the same length, with no thread left over. What is the greatest length, in feet, that she can make each piece?

4 feet

200

Aiden's hens lay eggs in groups of 6. Meanwhile, Elise's hens lay eggs in groups of 10. If both chicken farmers were able to collect the same number of eggs from their chickens this week, what is the minimum number of eggs that could have been laid for each farmer?

30 eggs

300

Meg is buying screws and bolts at a local hardware store. The store sells screws in packs of 4 and bolts in packs of 8. If Meg wishes to buy the same number of screws and bolts, how many packs of each will she need?

1 pack of bolts

2 packs of screws

400

GCF of 36, 40, and 56

GCF = 4

500

LCM of 6, 15, and 40

LCM = 120

Prime Factorization

100

Express the prime factorization of 72 in exponential notation.

2³ x 3²

200

Express the prime factorization of 120 in exponential notation.

2³ x 3 x 5

300

Express the prime factorization of 117 in exponential notation.

3² x 13

400

Express the prime factorization of 560 in exponential notation.

2⁴ x 5 x 7

500

Express the prime factorization of 1001 in exponential notation.

7 x 11 x 13

Square and Cube Roots

100

Find the square root of 676

26

200

Find the cube root of 729

9

300

What is the square root of 1764

42

400

What is the cube root of 2500

50

500

What is the fifth root of 243

3

Integer Computations

100

4 x (-2) + 8 - (-4)

4

200

(-3) x (-6) + 4 / (-2)

16

300

(-3)(-4)(5)(-1)

-60

400

(4 + -2 + 8) / (-15 + 10)

-2

500

(-4)⁵

-1024