Solving Equations

Front

What is the first step in solving the equation -11 + 3(b + 5) = 7?

Back

Distribute the 3 to both terms inside the parentheses: -11 + 3b + 15 = 7.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate the variable in the equation 0 = 8z + 8?

Back

Subtract 8 from both sides to get -8 = 8z, then divide by 8 to find z = -1.

Tags

CCSS.7.EE.B.4A

Front

What is the solution for 'a' in the equation 33 = 4a - 7?

Back

Add 7 to both sides to get 40 = 4a, then divide by 4 to find a = 10.

Tags

CCSS.7.EE.B.4A

Front

What does the equation -(n - 8) = -2 simplify to?

Back

Distributing the negative gives -n + 8 = -2, then isolate n to find n = 10.

Tags

CCSS.7.EE.B.4A

Front

How do you combine like terms in the equation 2x - 3 + 4x = 27?

Back

Combine 2x and 4x to get 6x - 3 = 27.

Tags

CCSS.6.EE.B.7

Front

What is the next step after combining like terms in 6x - 3 = 27?

Back

Add 3 to both sides to get 6x = 30.

Tags

CCSS.7.EE.B.4A

Front

How do you solve for x in the equation 6x = 30?

Back

Divide both sides by 6 to find x = 5.

Tags

CCSS.6.EE.B.7

Front

What is the importance of checking your solution after solving an equation?

Back

Checking ensures that the solution satisfies the original equation, confirming its correctness.

Tags

CCSS.8.EE.C.7B

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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 opposite side.