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5.04 Solve equations using inverse relationships

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

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  1. 5.04 Solve equations using inverse relationships Vocabulary Area Pythagorean 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: 212 + $0.25 • C: 212 X $0.25 • D: 123 + $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: $100.50 • 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 -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.

  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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