Vocabulary
Distributing
Factoring
Combining Like Terms
Substituting
100

What do we call an expression with only regular numbers in it (no variables)?

A numerical expression

100

Use the distributive property to simplify the following expression. You must show all work using the box model, arrows, or another strategy.

2(3x + 5)

2(3x + 5)

2(3x) + 2(5)

6x + 10

100

Factor the following expression. You must show all work using the ladder method or another strategy.

6v - 3

6v - 3

3(2v - 1)

100

Combine the like terms to create an equivalent expression. You must show all steps using the pizza method.

2x + 3x + 1

2x + 3x + 1

5x + 1

100

Solve the following expression for the given value of the variable. You must show all steps.

x + 5

x = 3

x + 5

3 + 5

8

200

What do we call an expression with variables in it?

An algebraic expression

200

Use the distributive property to simplify the following expression. You must show all work using the box model, arrows, or another strategy.

5(3x - 6)

5(3x - 6)

5(3x) - 5(6)

15x - 30

200

Factor the following expression. You must show all work using the ladder method or another strategy.

9y - 9

9y - 9

9(y - 1)

200

Combine the like terms to create an equivalent expression. You must show all steps using the pizza method.

6q + 2 - q

6q + 2 - q

6q - q + 2 (rearrange to put variable terms first)

5q - 2

200

Solve the following expression for the given value of the variable. You must show all steps.

j - 12

j = 27

j - 12

27 - 12

15

300

What do we call any part of an expression? Hint: They are separated by operators such as + and -.

A term

300

Use the distributive property to simplify the following expression. You must show all work using the box model, arrows, or another strategy.

8u(9 + 2)

8u(9 + 2)

8u(9) + 8u(2)

72u + 16u

88u

(Can also be solved by combining like terms inside the parentheses first!)

300

Factor the following expression. You must show all work using the ladder method or another strategy.

4f + 8

4f + 8

2(2f + 4) - partially factored

4(f + 2) - fully factored

300

Combine the like terms to create an equivalent expression. You must show all steps using the pizza method.

1 + 7z - 12z

1 + 7z - 12z

7z - 12z + 1 (rearrange to put variable terms first)

-5z + 1

300

Solve the following expression for the given value of the variable. You must show all steps.

7m + 5

m = 2

7m + 5

7(2) + 5

14 + 5

19

400

What do we call the number that is being repeatedly multiplied in a power?

The base

400

Use the distributive property to simplify the following expression. You must show all work using the box model, arrows, or another strategy.

3(7c - 3s)

3(7c - 3s)

3(7c) - 3(3s)

21c - 9s

400

Factor the following expression. You must show all work using the ladder method or another strategy.

x2 + 2x

x2 + 2x

x(x + 2)

400

Combine the like terms to create an equivalent expression. You must show all steps using the pizza method.

9g + 4h + 2 + g

9g + 4h + 2 + g

9g + g + 4h + 2 (rearrange to put variables in alphabetical order)

10g + 4h + 2

400

Solve the following expression for the given value of the variable. You must show all steps.

8 - 4n

n = 2

8 - 4n

8 - 4(2)

8 - 8

0

500

What do we call two or more terms with the same variable and the same exponent?

Like terms

500

Use the distributive property to simplify the following expression. You must show all work using the box model, arrows, or another strategy.

p(3p - 5)

p(3p - 5)

p(3p) - p(5)

3p2 - 5p

500

Factor the following expression. You must show all work using the ladder method or another strategy.

bx + b

bx + b

bx + 1b

b(x + 1)

500

Combine the like terms to create an equivalent expression. You must show all steps using the pizza method.

8 + 9a - 2b - 5 + 3a

8 + 9a - 2b - 5 + 3a

9a + 3a - 2b + 8 - 5 (rearrange to put variable terms first and in alphabetical order)

12a - 2b + 3

500

Solve the following expression for the given value of the variable. You must show all steps.

-8w - 14

w = 3

-8(3) - 14

-24 - 14

-38

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