Vocabulary
Combining Like Terms
Equivalent Expressions
Distributive Property
CHALLENGE
100

What is 2 - 3x?

An expression

100

Tell whether the terms shown are like terms or unlike terms:

A. 63, 19.2, -1

B. 5y, 5x, 5w

A. Like Terms

B. Unlike Terms

100

Are the expressions 2x + x + x + x + x and 6x equivalent?

Show your work.

Yes, they are equivalent.

100

Factor the expression using the GCF:

30b-6c

6(5b-c)

100

Evaluate the expression for u = 19.8

-13 + u

6.8

200
Is x+5=8 an expression?

NO!

200

Simplify the expression:

2b + 4 - 5b + 10

-3b + 14

OR

14 - 3b

200

Are 3x + 3 and 3x(1 + 1) equivalent expressions?

Show your work.

NO

200

Simplify the expression

-2(4z - 3)

-8z + 6

200

Is 10 a factor of 90t + 80u?

Yes

300

All ______________ can be combined to simplify expressions.

Like Terms

300

Simplify the expression:

3r + 6s + 9r - 3s + 9

12r + 3s + 9

300

Are 8x - 11 and 8(x - 3) equivalent expressions?

Write an explanation for why or why not.

Not equivalent because 8*3 equals 24 not 11.

300

Simplify the expression 2(x - 6) + 2(8)

2x + 4

300

What is Ms. Adelgren's favorite color?

Blue

400

What property is represented?

3x + (-y) + 1

=

3x + (-y + 1)

Associative Property

400

Simplify the expression:

5b + 3c - 20 + 3b - 15c +4

8b - 12c - 16

400

Tell whether the expressions are equivalent or not:

5y + (-4)

AND

4 + (-5y)

NOT equivalent

400

Simplify the expression:

6(2x - 6) + 2

12x - 34

400

What is the GCF of 44 and 49?

1

500

Identify the terms in the expression:

-2c + 8d - 6

Constants: -6

Coefficients: -2, 8

Variables: c, d

500

Simplify the expression:

-v +2w - 2v + 5x + 6w - 4 - x

-3v + 8w + 4x - 4

500

Are 18x + 48x and 6x(3 - 8) equivalent expressions?


Show your work

YES

500

Factor the expression:

54x - 9

9(6x - 1)

500

Write 3 equivalent expressions of (5x - 15) + 10y using the Distributive Property, Commutative Property, and Associative Property.

Label which property you used for each equivalent expression.

Associative: 5x + (-15 + 10y)

Commutative: 5x + 10y - 15

Distributive: 5(x - 3) + 10y

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