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.

Tags

CCSS.8.EE.C.7B

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

Subtract 7 from both sides to isolate the term with the variable.

Tags

CCSS.7.EE.B.4A

Front

Solve the equation: 8v - 4(v + 8) = 8

Back

v = 10

Tags

CCSS.8.EE.C.7B

Front

Solve the equation: 3x + 2(4x - 4) = 3

Back

x = 1

Tags

CCSS.8.EE.C.7B

Front

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

Back

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

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.

Tags

CCSS.6.EE.A.3

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9

Tags

CCSS.7.EE.B.4A

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Tags

CCSS.6.EE.A.2B

Front

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

Back

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

Tags

CCSS.8.EE.C.7B