One-Step Equations

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 performing the inverse operation to isolate the variable.

Front

How do you solve the equation 4x = 72?

Back

To solve 4x = 72, divide both sides by 4. Thus, x = 72 / 4 = 18.

Front

What is the solution to the equation \( \frac{z}{2} = 6 \)?

Back

To solve \( \frac{z}{2} = 6 \), multiply both sides by 2. Thus, z = 6 * 2 = 12.

Front

What is the value of x in the equation x + 10 = 20?

Back

To solve x + 10 = 20, subtract 10 from both sides. Thus, x = 20 - 10 = 10.

Front

How do you solve the equation 7 + g = 11?

Back

To solve 7 + g = 11, subtract 7 from both sides. Thus, g = 11 - 7 = 4.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

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 and all other terms are on the other side.

Front

What is the solution to the equation -3x = 42?

Back

To solve -3x = 42, divide both sides by -3. Thus, x = 42 / -3 = -14.