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5.04 Solve equations using inverse relationships

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5.04 Solve equations using inverse relationships

Vocabulary

AreaPythagorean theorem

Volumeadditive inverse

Multiplicative inverse

Radical expression

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

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

Step 3: substitute your answer and check

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: 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