Solving Two Step Equations Test

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves isolating the variable on one side of the equation.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they appear in the equation. First, eliminate the constant term, then divide or multiply to solve for the variable.

Front

Solve for x: 4x + 7 = 23

Back

x = 4

Front

Solve for x: 3x - 5 = -26

Back

x = -7

Front

Solve for m: 13 = 5m - 2

Back

m = 3

Front

Solve for p: 6p - 5 = 13

Back

p = 3

Front

Solve for x: 5x - 1 = 19

Back

x = 4

Front

What is the first step to solve the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with x.

Front

What does it mean to perform the inverse operation?

Back

An inverse operation is the opposite of a given operation. For example, the inverse of addition is subtraction, and the inverse of multiplication is division.

Front

If you have the equation x/3 = 5, how do you solve for x?

Back

Multiply both sides by 3 to isolate x.