Warm up: Chapter 1.2 Linear Equations in one Variable

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be expressed in the form ax + b = 0, where a and b are constants and x is the variable.

Front

How do you isolate a variable in a linear 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 a linear equation?

Back

Solving a linear equation means finding the value of the variable that makes the equation true.

Front

What is the solution to the equation 3x - 7 = 2x + 3?

Back

x = 10.

Front

What is the first step to solve the equation 12 - 5(x - 7) = 2x + 12?

Back

Distribute -5 to both terms inside the parentheses.

Front

What is the solution to the equation 3x + 5 = 17?

Back

x = 4.

Front

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

Back

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

Front

What is the solution to the equation 2(x + 4) = 18?

Back

x = 5.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value after performing operations.

Front

What is the solution to the equation 4(x - 3) = 2(5 - x)?

Back

x = 11/3.