Math Pattern and Algebraic Reasoning Use Properties of Operations Generate Equivalent Expressions

• -7w + 38

• -3w + (-32)

• 7w + 38

• -3w + (-38)

• -7w - 38

What value of h would make the two expression equivalent:

10(x+4) = (2x+h)5

h = _

• 8

• 4

• 10

• 5

Enter the values of Q & P so that the two expressions are equivalent:

(-7x - 2) + (3x + 7) = (Qx + P)

Q = _

P = _

• Q = -4

  P = 5

• Q = 5

  P = -4

• Q = 4

  P = -5

• Q = -5

  P = 4

• Q = -4

  P = -5

Select all expression(s) equivalent to (choose 2 expressions)

10x + 18 - 4 - 2x - 7 + (3x)

• 11x + 7

• 13x - 2x + 14 - 7

• 10x - 5x + 14 - 7

• 5x + 21

• 11x + 21

Which of the following is not equivalent to the others?

–15 + (–20) has the same result as which of the following? (Choose two correct answers)

• – (15 + 20)

• -15 - 20

• 15 + 20

• 15 + (–20)

• -[(-15) + (-20)]

• 3x - 2(5x) -2(3)

• 3x - 10x + 3

• 3x + 2(5x)  + 2(3)

• 7x  - 6

• - 7x  + 6

What value of D would make the expression

8(5w + 2) equivalent to (10w + D)4

D=_

• 4

• 16

• 40

• -40

• 5

Enter the value of x so that the expression 20 + 60k is equivalent to x(5 + 7.5k)

• 4

• 8

• 10

• 20

• 60

Jenna has to simplify two expressions:

3(2y+3) and 6y - 4

What is the value of 3(2y+3) when y = 2

• 20

• 21

• 4

• 7

• 8