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 2x - 3 + 4x = 27?

Back

Combine like terms: 2x + 4x = 6x, so the equation becomes 6x - 3 = 27.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate the variable in the equation 7k − 1 − 6k = −6?

Back

Combine like terms: 7k - 6k = k, so the equation becomes k - 1 = -6. Then add 1 to both sides to get k = -5.

Tags

CCSS.7.EE.B.4A

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.

Tags

CCSS.6.EE.A.3

Front

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

Back

First, distribute: 8v - 4v - 32 = 8. Combine like terms: 4v - 32 = 8. Then add 32 to both sides: 4v = 40, so v = 10.

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

How do you solve the equation 2x + 3(5x - 7) = 47?

Back

Distribute: 2x + 15x - 21 = 47. Combine like terms: 17x - 21 = 47. Add 21 to both sides: 17x = 68, so x = 4.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 11 = 3x + 8x?

Back

Combine like terms: 11 = 11x. Divide both sides by 11: x = 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 that it is correct.

Tags

CCSS.8.EE.C.7B

Front

What is the importance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation are equivalent.