One-step Equations with negatives

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step by performing the same operation on both sides of the equation.

Front

How do you solve the equation 47 = w - (-8)?

Back

To solve for w, add -8 to both sides: 47 + 8 = w, so w = 39.

Front

What does it mean to subtract a negative number?

Back

Subtracting a negative number is the same as adding its positive counterpart.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone.

Front

What is the solution to the equation 12a = -132?

Back

To solve for a, divide both sides by 12: a = -132 / 12, so a = -11.

Front

What is the value of z in the equation 18 + z = 40?

Back

To find z, subtract 18 from both sides: z = 40 - 18, so z = 22.

Front

Back

Multiply both sides by 4 to isolate c: c = 16 * 4, so c = 64.

Front

What is the solution to the equation -1 = g + (-19)?

Back

To solve for g, add 19 to both sides: g = -1 + 19, so g = 18.

Front

What is the principle of inverse operations in solving equations?

Back

The principle of inverse operations states that you can undo an operation by performing its opposite operation.

Front

What does it mean for an equation to have a negative solution?

Back

A negative solution means that the value of the variable is less than zero.