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5.04 Solve equations using inverse relationships Vocabulary AreaPythagorean theorem Volumeadditive inverse Multiplicative inverse Radical expression.

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Presentation on theme: "5.04 Solve equations using inverse relationships Vocabulary AreaPythagorean theorem Volumeadditive inverse Multiplicative inverse Radical expression."— Presentation transcript:

1 5.04 Solve equations using inverse relationships Vocabulary AreaPythagorean theorem Volumeadditive inverse Multiplicative inverse Radical expression

2 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

3 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: $0.25 C: 212 X $0.25 D: $0.25

4 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

5 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: $ B: $99.50 C: $97.50 D: $44.50

6 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

7 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 Step 3: substitute your answer and check

8 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

9 If s = w − 56 and s = 6, what is the value -7of w? Step 1: Substitute 6 for s 6 = w 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.

10 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


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