Unit 5 Review: Algebraic Thinking

Distributive Property

100

Use the distributive property to find the value of this expression:  2(3 + 4)

   2(3 + 4) 

  2(3) + 2(4)

     6   +  8

  What is 14?

200

Use the distributive property to find the value of this expression:  3(5 + 2)

 3(5 + 2)

3(5) + 3(2)

 15   +   6

What is 21?

300

Use the distributive property to find the value of this expression:  2(5 - 2)

 2(5 - 2)

2(5) - 2(2)

  10  -   4

What is 6?

400

Use the distributive property to find the value of this expression:  4(2y + m)

4(2y + m)

4(2y) + 4(m)

What is  8y  +  4m ?

500

Use the distributive property to find the value of this expression:  2(4x + 3y)

2(4x + 3y)

2(4x) + 2(3y)

What is 8x + 6y ?

Combine Like Terms

100

Simplify the expression by combing like terms.

             y + y + y

y + y + y 

What is 3y ?

200

Simplify the expression by combing like terms.

             x + x + x + y + y

x + x + x + y + y

What is 3x + 2y ?

300

Simplify the expression by combing like terms.

         2m + 4m + 6s + 3s

2m + 4m + 6s + 3s

What is 6m + 9s ?

400

Simplify the expression by combing like terms.

     2m + 10m + 12 + 2

2m + 10m + 12 + 2

What is 12m + 14 ?

500

Simplify the expression by combing like terms.

       3x + 2x + 5y + 3y + 2 + 10

3x + 2x + 5y + 3y + 2 + 10

What is 5x + 8y + 12 ?

One-Step Addition Equations

100

Find the solution to the equation.

        x + 3 = 8

x + 3 = 8

What is x = 5 ?

200

Find the solution to the equation.

      y + 4 = 12

y + 4 = 12

What is y = 8 ?

300

Find the solution to the equation.

     103 + m = 130

103 + m = 130

What is m = 27 ?

400

Find the solution to the equation.

    x + 25 = 75

x + 25 + 75

What is 50 ?

500

Find the solution to the equation.

  m + 10 = 15 + 10

m + 10 = 15 + 10

m + 10 = 25

What is m = 15 ?

One-Step Multiplication Equations

100

Find the solution to the equation.

    2m = 10

2m = 10

What is m = 5 ?

200

Find the solution to the equation.

    3x = 15

3x = 15

What is x = 5 ?

300

Find the solution to the equation.

   4m = 100

4m = 100

What is m = 25 ?

400

Find the solution to the equation.

   10y = 50

10y = 50

What is y = 5 ?

500

Find the solution to the equation.

  3w = 25 + 5

3w = 25 + 5

3w = 30

What is w = 10 ?

Substitution

100

Which value form the set {2, 4, 5} is the solution to the equation?

     25 + m = 29

25 + 4 = 29

    29  =  29

What is 4 ?

200

Which value form the set {3, 7, 12} is the solution to the equation?

       13 + y = 20

13 + 7 = 20

   20   =   20

What is 7 ?

300

Which value form the set {5, 10, 20} is the solution to the equation?

           11m = 55

11(5) = 55

  55  =  55

What is 5 ?

400

Which value form the set {1, 7, 8} is the solution to the equation?

      21y = 21

21(1) = 21

  21   =  21

What is 1 ?

500

Which value form the set {11, 12, 15} is the solution to the equation?

        24 + y = 27 + 8

24 + 11 = 27 + 8

     35   =   35

What is 11 ?