8th U4 Flashcard 1 - Review Game

Front

Solve the equation: 2x - 2 = x + 6

Back

x = 8

Front

Solve the equation: 3x - 3 = 2x + 6

Back

x = 9

Front

What is the first step to solve the equation 2x - 2 = x + 6?

Back

Isolate the variable by moving x terms 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 other side.

Front

What is the solution to the equation 2x - 2 = x + 6?

Back

x = 8

Front

What is the solution to the equation 3x - 3 = 2x + 6?

Back

x = 9

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation.

Front

How do you check if x = 8 is a solution for 2x - 2 = x + 6?

Back

Substitute x = 8 into the equation: 2(8) - 2 = 8 + 6, which simplifies to 16 - 2 = 14.

Front

What is a linear equation?

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

The slope of the line, which indicates the steepness and direction.