Word Problem Equations

Front

What is the first step in solving the equation: 2x + 30 = 189?

Back

Subtract 30 from both sides.

Front

Solve: -2(m + 3) - 5m = -34

Back

m = 4

Front

Solve: -3(7p + 5) = 27

Back

p = -2

Front

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

Back

4.5 hours

Front

Mary spent half of her allowance going to the movies. She washed the family car and earned seven dollars. What is her weekly allowance if she ended with seventeen dollars?

Back

$20

Front

What is a variable in an equation?

Back

A symbol (often a letter) that represents an unknown value.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the distributive property?

Back

a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What is a linear equation?

Back

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