Unit 3 Test Redemption

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

Solve: 5y + 34 = -2(-7y + 1)

Back

y = 4

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

Peppy Pets charges a flat fee of $15 plus $3 per hour. Happy Hounds charges a flat fee of $21 plus $1 per hour. Which equation could you use to see when the two companies would charge the same amount?

Back

3x + 15 = x + 21

Front

Solve the equation: 12x - 15 = 3(2x + 3)

Back

x = 4

Front

What is the first step to solve the equation 5x - 14 = 8x + 4?

Back

Isolate the variable by moving all terms involving x to one side.

Front

What does it mean to isolate a variable in an equation?

Back

To rearrange the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.