Math 8 - Solving 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

How do you combine like terms in an equation?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable. For example, in the equation 5x + 2x, you combine to get 7x.

Front

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

The first step is to combine like terms: 5x + 2x = 7x, so the equation becomes 7x - 4 = 3.

Front

How do you isolate the variable in an equation?

Back

To isolate the variable, perform inverse operations to both sides of the equation until the variable is alone. For example, in 7x - 4 = 3, add 4 to both sides to get 7x = 7.

Front

What is the solution to the equation -20 = -4x - 6x?

Back

Combine like terms: -4x - 6x = -10x, so the equation becomes -20 = -10x. Dividing both sides by -10 gives x = 2.

Front

What does it mean to solve for x in an equation?

Back

Solving for x means finding the value of x that makes the equation true.

Front

How do you solve the equation x/3 + 10 = 15?

Back

Subtract 10 from both sides to get x/3 = 5. Then multiply both sides by 3 to find x = 15.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 2x + 4x = 6x, so the equation becomes 6x - 3 = 27. Add 3 to both sides to get 6x = 30, then divide by 6 to find x = 5.

Front

What is the value of b in the equation 1 = 1 + 6b + 2b?

Back

Combine like terms: 6b + 2b = 8b, so the equation becomes 1 = 1 + 8b. Subtract 1 from both sides to get 0 = 8b, then divide by 8 to find b = 0.

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 each term inside a parentheses.