Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

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

Back

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

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you solve the equation 2(3a + 2) = -8?

Back

First, distribute: 6a + 4 = -8. Then, subtract 4 from both sides: 6a = -12. Finally, divide by 6: a = -2.

Front

What is the first step in solving the equation -5 + 5(2x - 3) = 45?

Back

The first step is to distribute the 5: -5 + 10x - 15 = 45.

Front

How do you solve the equation -5(x - 3) = 60?

Back

First, distribute: -5x + 15 = 60. Then, subtract 15 from both sides: -5x = 45. Finally, divide by -5: x = -9.

Front

What is the solution to the equation 9(x + 3) - 14x - 15 = 52?

Back

First, distribute: 9x + 27 - 14x - 15 = 52. Combine like terms: -5x + 12 = 52. Subtract 12: -5x = 40. Divide by -5: x = -8.

Front

How do you solve the equation 3(4x - 3) = 27?

Back

First, distribute: 12x - 9 = 27. Then, add 9 to both sides: 12x = 36. Finally, divide by 12: x = 3.

Front

What is a like term in an equation?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract the coefficients of like terms to simplify the expression.