Equivalent Expressions and Equations

Which expression is equivalent to 4(x + 6)?

• 4x + 6
• 4x + 24
• x + 24
• 10x + 24

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)
• 4(9x + 8)
• 2(18x + 12)
• 12(3x + 3)

Evaluate the expression 8² + 14 x 2.

• 156

• 92

• 44

• 60

Which of the following shows the prime factorization of 60?

• 2 x 3 x 5

• 2² x 3 x 5

• 2 x 3² x 5

• 10 x 3 x 2

Alexis has the following expression:

2n + 2n

Which of the following is NOT an equivalent expression?

• 4n

• n + n + n + n

• 3n + n

• 6n - n

Which of the following is equivalent to 6x?

• 2x + 2x + 2x

• x⁶

• 6 + x

• 3x · 3x

Which expression represents the prime factorization of 105?

• 5x21

• 7x15

• 3x5x7

• 3x35

Mr. Sanchez asked the class to generate an expression equivalent to 80. Isaiah used the prime factorization of 80 to form an equivalent expression. Which best represents the expression Isaiah wrote?

• 10x(2+6)

• 2⁴x5

• (5²-5)x4

• 2x5x8

Which of the following is NOT equivalent to the expression below?

18 + (2 x 4)

• 18 + 8

• 9 x 2 + 2³

• 18 + 2³

• 9 x 2⁴

Juan claimed that the associative property would help to simplify the calculation:

11 x 25 x 4

Which numerical statement would Juan use?

• 11 x (25 x 4)

• (10 + 1) x 25 x 4

• 11 x 5(5 + 1) - 1

• (4(3) -1) x 25 x 4