8th U4 Flashcard 1 - Review Game

Front

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

Back

x = 9

Front

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

Back

x = 8

Front

What is the first step in solving the equation 3x - 3 = 2x + 6?

Back

Isolate the variable by moving terms involving x 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 5x + 10 = 35?

Back

x = 5

Front

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

Back

Substituting the solution back into the original equation to verify if both sides are equal.

Front

What is the definition of 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 slope-intercept form of a linear equation?

Back

The slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the slope-intercept form of a linear equation?

Back

The y-intercept, which is the point where the line crosses the y-axis.

Front

How do you solve for x in the equation x/4 = 3?

Back

Multiply both sides by 4 to get x = 12.