Two Step Equations with Word problems

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.

Front

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

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Front

Translate this sentence into an equation: 'Five less than three times a number is 10.'

Back

3x - 5 = 10

Front

Solve the equation: 2x + 4 = 12.

Back

x = 4

Front

What does it mean to 'solve' an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Translate this sentence into an equation: 'The sum of a number and 7 is 15.'

Back

x + 7 = 15

Front

Solve the equation: 5p - 3 = 12.

Back

p = 3

Front

What is the first step to solve the equation: x/3 = 6?

Back

Multiply both sides by 3 to isolate x.

Front

Translate this sentence into an equation: 'Twice a number decreased by 4 equals 10.'

Back

2x - 4 = 10

Front

Solve the equation: 4x + 1 = 17.

Back

x = 4