Multistep equations

Front

What is a multistep equation?

Back

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

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to get all terms involving x on one side and constant terms on the other side. This can be done by subtracting 5x from both sides.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the solution to the equation -7x - 36 = 20 - 3x?

Back

x = -14

Front

How do you isolate the variable in the equation 1x - 6 = 2x + 3?

Back

You can isolate the variable by moving all x terms to one side and constant terms to the other side, then solving for x.

Front

Solve for x: 1x - 6 = 2x + 3

Back

x = -9

Front

What does it mean to combine like terms in an equation?

Back

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

Front

Solve for x: 2x = x + 3

Back

x = 3

Front

What is the solution to the equation 4a - 2 = 3a - 7?

Back

a = -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 set of parentheses.