Equations and Inequalities Review

Simplifying Expressions

100

What is a shorter way to write x+x+x+x+x?

5x

200

Is 3x + 6 equivalent to 3(x+2)?

Yes--they are equivalent expressions by the distributive property.

300

3(4x + 2) 

12x + 6

Distributive

400

-12x + x + 5 + 2x + 7

-13x + 12 

or 12 - 13x

Combine Like Terms

500

6(-5x + 1) -3(4x - 12)

-42x + 42

Distributive and combine like terms

Solving Equations

100

Solve for x. 

2(x - 5) = 2

x = 6

200

Solve for x. 

3x −1 − 7x = −33

What is: 

x = 8

300

Solve for n. 

-15 - 5n = 3n + 41

n = -7

400

Solve for x.

−41 = −18 − (3 − 4x)

x = -5

500

Solve for y.

18y − 9 = 5(2y + 3)

y = 3

True/false

100

We use inverse operations to solve equations.

True

200

Addition is the inverse of division.

False

Addition is the inverse of subtraction.

300

Expressions have an '=' sign

False.

Equations have an '=' sign.

400

We can simplify expressions, and we can solve expressions.

False.

We can only solve equations.

500

Given c + 4 > 14

We use the inverse operation of subtraction to solve the inequality.

True