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 is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 2x + 4x = 6x, so the equation becomes 6x - 3 = 27.

Front

How do you isolate the variable in the equation 6x - 3 = 27?

Back

Add 3 to both sides to get 6x = 30, then divide by 6 to find x = 5.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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.

Front

Solve the equation: 5x - 4 + 2x = 3.

Back

Combine like terms: 5x + 2x - 4 = 3, which simplifies to 7x - 4 = 3. Then add 4 to both sides to get 7x = 7, and divide by 7 to find x = 1.

Front

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

Back

Combine like terms: -4x - 6x = -10x, so the equation becomes -20 = -10x. Divide by -10 to find x = 2.

Front

How do you solve the equation 6x + 3(-x + 11) = 3?

Back

First, apply the distributive property: 6x - 3x + 33 = 3. Combine like terms to get 3x + 33 = 3, then subtract 33 from both sides to find 3x = -30, and divide by 3 to get x = -10.

Front

What is the first step in solving the equation 4 - 2(x - 3) = 24?

Back

Apply the distributive property: 4 - 2x + 6 = 24, which simplifies to 10 - 2x = 24.

Front

How do you isolate x in the equation 10 - 2x = 24?

Back

Subtract 10 from both sides to get -2x = 14, then divide by -2 to find x = -7.