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 isolate a variable in an equation?

Back

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

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

What is the solution to the equation 6x - 3 = 27?

Back

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

Front

How do you solve the equation 60 = -5/6 x?

Back

Multiply both sides by -6/5 to isolate x, resulting in x = -72.

Front

What does it mean to multiply both sides of an equation by a fraction?

Back

Multiplying both sides by a fraction helps to isolate the variable by eliminating coefficients.

Front

What is the solution to the equation (3/4)x = 12?

Back

Multiply both sides by the reciprocal of 3/4, which is 4/3, to find x = 16.

Front

How do you solve the equation c/2 = -14?

Back

Multiply both sides by 2 to isolate c, resulting in c = -28.

Front

What is the solution to the equation -2/3 x = 6?

Back

Multiply both sides by -3/2 to isolate x, resulting in x = -9.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.