Solving one-step equations add/subtract

Front

What is a one-step equation?

Back

A one-step equation is an equation that can be solved in a single step, typically by adding or subtracting a number from both sides.

Front

How do you solve the equation 9 = x - 37?

Back

Add 37 to both sides: 9 + 37 = x, so x = 46.

Front

What is the solution to the equation 56 = x + 21?

Back

Subtract 21 from both sides: 56 - 21 = x, so x = 35.

Front

How do you isolate x in the equation 20 = x - 27?

Back

Add 27 to both sides: 20 + 27 = x, so x = 47.

Front

What is the solution to the equation 44 = x + 15?

Back

Subtract 15 from both sides: 44 - 15 = x, so x = 29.

Front

How do you solve the equation 91 = w + 42?

Back

Subtract 42 from both sides: 91 - 42 = w, so w = 49.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side by itself.

Front

What is the first step in solving the equation x - 5 = 10?

Back

Add 5 to both sides: x - 5 + 5 = 10 + 5, so x = 15.

Front

What is the principle of equality in solving equations?

Back

The principle of equality states that if you add or subtract the same number from both sides of an equation, the two sides remain equal.

Front

How do you check your solution for the equation x + 8 = 15?

Back

Substitute 7 back into the equation: 7 + 8 = 15, which is true.