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 solve the equation x/2 = -10?

Back

Multiply both sides by 2: x = -20.

Front

Translate this sentence into an equation: 'Four more than six times a number is 18.'

Back

4 + 6x = 18.

Front

What operation do the terms 'combined', 'increased by', and 'more than' represent?

Back

Addition.

Front

Write an equation for this problem: Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

Back

10 + 7x = 24.

Front

What operation do the terms 'per', 'each', and 'every' represent?

Back

Multiplication.

Front

What is the first step in solving a two-step equation?

Back

Isolate the variable by performing the inverse operation of the constant term.

Front

If you have the equation 3x + 5 = 20, what is the first step to solve for x?

Back

Subtract 5 from both sides: 3x = 15.

Front

What does it mean to 'isolate the variable' in an equation?

Back

To get the variable alone on one side of the equation.

Front

How do you check your solution for a two-step equation?

Back

Substitute the solution back into the original equation to see if it holds true.