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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.

5.04 Solve equations using inverse relationships

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## 5.04 Solve equations using inverse relationships

Vocabulary

AreaPythagorean theorem

Multiplicative inverse

### Solving Equations Review

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

• 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?

• A: \$100.50

• B: \$99.50

• C: \$97.50

• D: \$44.50

### Solving using addition, subtraction, multiplication, division

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

### Solving equations using square roots

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

### Solving equations using cube roots

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

-7of 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

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