Expressions Mixed Review

Expressions

What is an expression?

An expression is a mathematical phrase that does not have an equal sign.  This phrase includes numbers, operations and variables.

Multiple Select

Which of the following is NOT an expression?

• $3x\ +\ 8$

• $5x$

• $2\left(7x\ +\ 9\right)_{ }$

• $3x\ +\ 10\ =\ 33$

Combine Like Terms

• Please remember:

• You can only combine terms that share the SAME variable and exponent!!

Multiple Choice

Which of the following is a set of like terms?

• 3x and 9y

• 4w and 5w

• -10w and -10p

• -5 and 5m

Multiple Choice

Combine like terms:

7m + 2 + m + 8

• 7m + 10

• 6m + 6

• 7m + 6

• 8m + 10

Combining Like Terms with Negatives

Don't forget:

When combining like terms, you want to include the sign in front of the coefficient!

Multiple Select

Simplify the expression:

3y - 8 + 10 - 5y

• -2y + 2

• 8y + 18

• 2y + 18

• -8y + 18

Using the Distributive Property

To distribute, multiply the number on the outside of the parentheses by all terms inside the parentheses. Remember to be careful of the signs!

Multiple Choice

Use the Distributive Property.

3(x + 9)

• 3x + 9

• 3x + 12

• 3x + 27

• x + 27

Multiple Choice

Use the Distributive Property.

-4(2x - 6)

• -6x - 6

• -6x + 24

• -8x - 6

• -8x + 24

What step would I take next to simplify this expression?

Multiple Select

What step would I take next to simplify the expression from the previous question?

• combine like terms

• distribute again

• there is nothing to do further, that is your answer

• switch the signs to their opposite

Simplifying Expressions

• Apply the Distributive Property

• Combine Like Terms

Multiple Select

Simplify the Expression:

2(x - 4) + 5x

• 5x - 6

• 7x - 8

• 3x - 4

• 7x - 4