Solving one-step equations add/subtract

Front

What is a one-step equation?

Back

A one-step equation is an algebraic 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 20 = x - 27?

Back

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

Front

What is the solution to the equation 91 = w + 42?

Back

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

Front

How do you solve the equation 44 = x + 15?

Back

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

Front

What is the solution to the equation x - 56 = 128?

Back

Add 56 to both sides: x = 128 + 56, so x = 184.

Front

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

Back

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

Front

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

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

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

What is the first step in solving the equation x + 5 = 12?

Back

Subtract 5 from both sides: x = 12 - 5, so x = 7.

Front

How do you check your solution for the equation x - 4 = 10?

Back

Substitute the solution back into the original equation: 7 - 4 = 10, which is true.