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

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 to solve the equation x + 8 = -3?

Back

Subtract 8 from both sides to isolate x: x = -3 - 8.

Front

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

Back

x = -6.

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

Solve for c: c/2 = -14

Back

c = -28.

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 each term inside a parenthesis.

Front

Solve for h: 10(h + 1) - 4 = 76

Back

h = 7.

Front

What is the solution to the equation 6z + 3 - 4z = 9?

Back

z = 3.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.