Linear Equations Practice Set

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 3(x - 4) = 2(-2x + 1)?

Back

Distribute the numbers outside the parentheses: 3x - 12 = -4x + 2.

Front

What is the solution to the equation 3(x - 4) = 2(-2x + 1)?

Back

The solution is x = 2.

Front

How do you isolate the variable in the equation 8q + 6 = 4q - 14?

Back

Subtract 4q from both sides to get 4q + 6 = -14, then subtract 6 from both sides.

Front

What is the solution to the equation 8q + 6 = 4q - 14?

Back

The solution is q = -5.

Front

What is the process of solving -3(7p + 5) = 27?

Back

First, distribute -3 to get -21p - 15 = 27, then isolate p.

Front

What is the solution to the equation -3(7p + 5) = 27?

Back

The solution is p = -2.

Front

How do you simplify the equation -15b + 21 + 5b = -19?

Back

Combine like terms: -10b + 21 = -19.

Front

What is the solution to the equation -15b + 21 + 5b = -19?

Back

The solution is b = 4.