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# 5.04 Solve equations using inverse relationships - PowerPoint PPT Presentation

5.04 Solve equations using inverse relationships. Vocabulary Area Pythagorean theorem Volume additive inverse Multiplicative inverse Radical expression. Solving Equations Review.

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### 5.04 Solve equations using inverse relationships

Vocabulary

Area Pythagorean theorem

Multiplicative inverse

The girls sold treats at a bake sale. On Monday, they sold 123 brownies and 56 cookies. On Tuesday, they sold 89 brownies and 33 cookies. Each brownie was \$0.25, and each cookie was \$0.50. How much money did they make? What is the first step to figure this out?

• A: multiply number of cookies and brownies

• B: add number of brownies

• C: add number of brownies and amount of money

• D: none of the above

• The girls sold treats at a bake sale. On Monday, they sold 123 brownies and 56 cookies. On Tuesday, they sold 89 brownies and 33 cookies. Each brownie was \$0.25, and each cookie was \$0.50. How much money did they make? Which equation is correct for the money earned from the brownies?

• A: 123 X \$0.25

• B: 212 + \$0.25

• C: 212 X \$0.25

• D: 123 + \$0.25

• The girls sold treats at a bake sale. On Monday, they sold 123 brownies and 56 cookies. On Tuesday, they sold 89 brownies and 33 cookies. Each brownie was \$0.25, and each cookie was \$0.50. How much money did they make? Which equation is correct for the money earned from the cookies?

• A: 89 X \$0.50

• B: 89 X \$0.25

• C: 56 X \$0.50

• D: 56 X \$0.25

Solve for f: e = 4g − 2f

Step 1: Subtract 4g from both sides

Step 2: Divide both sides by -2

Step 3: Substitute the answer in the problem and check

What are the solutions for x² - 4 = 0?

Think!! What is the inverse operation?? How do I undo squaring??

Step 1: add 4 to both sides

Step 2: find the square roots of both sides

A cube has a volume of 729cm3 . What is the length of each edge of the cube?

Think!! What is the inverse operation? How do I undo cubing??

Step 1: Volume = l x w x h and all sides of the cube are congruent

Step 2: 729 = x³ (Find the cube root of both sides

Step 3: Substitute and check

• If divisions = w − 56 and s = 6, what is the value

-7 of w?

Step 1: Substitute 6 for s 6 = w-56

-7

Step 2: Multiply both sides by -7 to get rid of the denominator

Step 3: Add 56 to both sides

Step 4: Substitute the solution and check.

Solve Multi-step Problems division

Solve: 5x + 2 = x

15 5

Step 1: Multiply both sides by 15 to remove the denominators (5x + 2) = 3(x)

Step 2: Subtract 5x from both sides

Step 3: Divide both sides by -2

Step 4: Substitute and check