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.

Tags

CCSS.8.EE.C.7B

Front

What is the first step to solve the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to isolate the term with the variable: 4x = -26 - 10.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate the variable in the equation 4x = -36?

Back

Divide both sides by 4 to solve for x: x = -36 / 4.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then add 3 to both sides and divide by 6 to find x = 5.

Tags

CCSS.8.EE.C.7B

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.

Tags

CCSS.7.EE.A.1

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 parentheses.

Tags

CCSS.6.EE.A.3

Front

Solve the equation x/3 + 10 = 15.

Back

Subtract 10 from both sides to get x/3 = 5, then multiply both sides by 3 to find x = 15.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

Distribute -4 to get 8v - 4v - 32 = 8, then combine like terms to find 4v = 40, so v = 10.

Tags

CCSS.8.EE.C.7B

Front

How do you solve the equation -11 + 3(b + 5) = 7?

Back

Distribute 3 to get -11 + 3b + 15 = 7, then combine like terms to find 3b + 4 = 7, and solve for b = 1.

Tags

CCSS.8.EE.C.7B

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming it is correct.

Tags

CCSS.8.EE.C.7B