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Simplify Expressions

100

Choose the solution that correctly simplifies the expression.

    3 + 2m + m + 12 + 2m    

             A.) 5m + 12

             B.) 5m + 15

             C.) 6m + 15

             D.) 5 (m + 15)

B.) 5m + 15

200

Choose the solution that correctly simplifies the expression.

    3y + 7 + 2y + 9

             A.) 5y + 63

             B.) 10y + 11y

             C.) 6y + 16

             D.) 5y + 16

D.) 5y + 16

300

Choose the solution that correctly simplifies the expression.

    3(f + 4) + 2f

             A.) 5f + 12

             B.) 5f + 2

             C.) 5f + 4

             D.) 3f + 6

A.) 5f + 12

400

Choose the solution that correctly simplifies the expression.

    4(m + 4) + 7m

             A.) 7m + 8

             B.) 11m + 16

             C.) 8m + 16

             D.) 11m + 4

B.) 11m + 16

500

Choose the solution that correctly simplifies the expression.

    5 + 2x + x + 4 + 5x    

             A.) 8x + 9

             B.) 8x + 5

             C.) 7x + 10

             D.) 8 (x + 9)

A.) 8x + 9

Equivalent Expression

100

Choose all the expressions that are equivalent to the expression.

    3(d + 4)

               A.) 3d + 4

               B.) 12d

               C.) 3d + 12

               D.) (3d) + (3 x 4)

C.) 3d + 12

D.) (3d) + (3 x 4)

200

Choose all the expressions that are equivalent to the expression.

    5(d + 9)

               A.) 5d + 45

               B.) 14d

               C.) 5d + 9

               D.) (5d) + (5 x 9)

A.) 5d + 45

D.) (5d) + (5 x 9)

300

Choose all the expressions that are equivalent to the expression.

    9(d + 10)

               A.) 9d + 10

               B.) 9d + 90

               C.) 90d

               D.) (9d) + (9 x 10)

B.) 9d + 90

D.) (9d) + (9 x 10)

400

Choose all the expressions that are equivalent to the expression.

   4d + 20

               A.) 4 (d + 5)

               B.) 4 (d + 20)

               C.) (4d) + (4 x 5)

               D.) 20d

A.) 4 (d + 5)

C.) (4d) + (4 x 5)

500

Choose all the expressions that are equivalent to the expression.

   7d + 21

               A.) 7 (d + 3)

               B.) 7 (d + 21)

               C.) (7d) + (7 x 3)

               D.) 21d

A.) 7 (d + 3)

C.) (7d) + (7 x 3)

Vocabulary

100

to write in a simpler way

Simplify

200

a letter that stands for an unknown value

Variable

300

a mathematical sentence that contains numbers, variables, and operation signs

Algebraic Expression

400

terms that are “like” can be combined if they have the same variable (and same exponent) or are constants

Like Terms

500

a property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products

Distributive Property

Multiplication

100

9 x 7

63

200

10 x 10

100

300

7 x 5

35

400

6 x 2

12

500

8 x 4

32

Division

100

3/3

1

200

90/9

10

300

12/4

3

400

8/2

4

500

32/4

8