One Step Equations Addition and Subtraction

One Step Equations Addition and Subtraction

One Step Equations

• Step 1: Determine your inverse operation.

• Step 2: Complete your one step to balance both sides.

• Step 3: Check your work by plugging your answer for the variable.

Multiple Choice

What is the purpose of doing the inverse operation?

• make things difficult

• isolate the variable

• move numbers around

• set it equal to zero

Multiple Choice

What is the inverse operation used in x - 4 = 10 ?

• add 10

• subtract 10

• add 4

• subtract 4

Multiple Choice

Solve for x.

x - 4 = 10 ?

• 10

• 4

• 6

• 14

Let's try a few more practice problems.

Multiple Choice

Solve for y.

10 = y + 7

• 3

• 7

• 10

• 17

Multiple Choice

Solve for m.

2.4 = m - 6.4

• 2.4

• 6.2

• 8.8

• 10.5

Multiple Choice

Solve for z.

z + -5 = -11

• -5

• -6

• -11

• -16

Ready for a challenge?

Review: Distributive property

• "Distribute" means to give out.

• You "give out" the number outside of the parentheses to the numbers inside of the parentheses by multiplying.

• Ex. 2 ( 5 + 6) = 2 (5) + 2 (6) = 10 + 12 = 22

• Notice each number inside parentheses received a 2.

Review: Like Terms

• Have the same variable, or letter, and the same base, or exponent

• Can be added or subtracted together

• Ex. 1 + 2 + 3 - 4 + n = 15

• 1, 2, 3, and 4 are all constants and like terms

• So it simplifies to 2 + n = 15

Multiple Choice

What is the FIRST step in this problem?

4 (2 - 1) + n = 8

• subtract n

• divide by 8

• add 1 to balance

• distribute the 4

Multiple Choice

4 (2-1) + n = 8

4 (2) - 4 (1) + n = 8

8 - 4 + n = 8

Now solve for n.

4 + n = 8

• 4

• 3

• 2

• 1

Multiple Choice

What is the first step in this problem?

5 + 6 - 3 + b = 20

• multiply by 20

• subtract b from both sides

• combine like terms

• add three to both sides

Multiple Choice

5 + 6 - 3 + b = 20

11 - 3 + b = 20

Solve for b.

8 + b = 20

• 8

• 12

• 20

• 28

It is always important that you simplify and follow the order of operations. Distribute or combine like terms before you start rearranging.