2.1 Combine Like Terms to Solve Equations

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the first step in solving the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms: 3y + 4y = 7y, so the equation becomes 7y - 1 = -8.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate the variable in the equation 5b - 6 = 24?

Back

Add 6 to both sides to get 5b = 30, then divide both sides by 5 to find b = 6.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation -3x + 5 = -13?

Back

Subtract 5 from both sides to get -3x = -18, then divide by -3 to find x = 6.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation -4x + 1 = 21?

Back

Subtract 1 from both sides to get -4x = 20, then divide by -4 to find x = -5.

Tags

CCSS.7.EE.B.4A

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Tags

CCSS.6.EE.A.2B

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

Front

What is the importance of maintaining balance when solving equations?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Tags

CCSS.7.EE.B.4A

Front

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

Back

Substituting the value of the variable back into the original equation to verify that both sides are equal.

Tags

CCSS.8.EE.C.7B