Multistep equations

Front

What is a multistep equation?

Back

A multistep 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 to solve the equation 2x = x + 3?

Back

Subtract x from both sides to get x = 3.

Front

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

Back

x = -6.

Front

What is the first step to solve the equation 11 - 3x = 44?

Back

Subtract 11 from both sides to get -3x = 33.

Front

Solve for z: 6z = 49 - z

Back

z = 7.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

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 two or more terms inside a set of parentheses.

Front

Solve for a: 4a - 2 = 3a - 7

Back

a = -9.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve.

Front

What is the solution to the equation 3(x - 2) = 12?

Back

x = 6.