Solving Linear Equations Review

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

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 6n + 4 = -26?

Back

The first step is to subtract 4 from both sides to get 6n = -30.

Front

What is the solution to the equation 6n + 4 = -26?

Back

n = -5.

Front

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

Back

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

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

p = -5.

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9.

Front

What is the distributive property?

Back

The distributive property states that 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 apply the distributive property in the equation 3x + 2(4x - 4) = 3?

Back

You distribute 2 to both 4x and -4, resulting in 3x + 8x - 8 = 3.