Review - Multi-Step, Absolute Value, and Literal Equations

Front

What is an absolute value?

Back

The absolute value of a number is its distance from zero on the number line, always expressed as a positive value.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step to solve the equation y = mx + b for x?

Back

Subtract b from both sides to isolate the term mx.

Front

What does the equation dx + e = f represent?

Back

It represents a linear equation where e can be isolated by rearranging the equation.

Front

How do you solve the equation 5|x| - 8 = 2?

Back

First, add 8 to both sides to get 5|x| = 10, then divide by 5 to find |x| = 2, leading to x = 2 or x = -2.

Front

What is the solution for y in the equation 12x - 4y = 20?

Back

Rearranging gives y = 3x - 5.

Front

Why is absolute value always positive?

Back

Absolute value represents distance, which is always a non-negative quantity.

Front

What is a literal equation?

Back

A literal equation is an equation that involves two or more variables and is solved for one variable in terms of the others.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.