Equivalent Expressions Reveiw

Mr. Gonzales showed students part of the prime factorization of 90. One factor is missing.

2 ⋅ 3² ⋅ ____

What number completes this prime factorization?

What is the prime factorization of 110?

• F.

  5² ⋅ 11

• G.

  2⁵ ⋅ 11

• H.

  5 ⋅ 22

• J.

  2 ⋅ 5 ⋅ 11

A numeric expression is shown.

5² − 6(4² − 10) − 3

Which value is equivalent to the expression shown?

• A.

  19

• B.

  -11

• C.

  7

• D.

  -14

What is the value of the expression shown?

6 + (-4)³

• 8

• 6

• -70

• -58

What is the value of the expression shown?

24 - 5²

Which expression is equivalent to 10 + 5⁴?

• 10 + 5 ⋅ 4

• (10 + 5)⁴

• (10 + 5) ⋅ 4

• None of these

Which expression is equivalent to 1,000 + 196?

• 10² + 7 ⋅ 28

• 10³ + 14²

• 100³ + 7 ⋅ 28

• 100² + 14²

Which expression is equivalent to 4(3 + 5) - 3 ⋅ 9²?

• 14 ⋅ 81

• 17 - (27)²

• 12 + 20 - 54

• 4(8) - 3 ⋅ 81

Two expressions are shown. The second expression is not complete.

Expression I: 200r - (-110)

Expression II: ___ + 200r

Which expression is equivalent to (6 ⋅ p) + 3?

• 3 - (6 ⋅ p)

• 3 + (6 ⋅ p)

• 6 + 3 ⋅ p

• 6 ⋅ (p + 3)