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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Area Pythagorean theorem
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?
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
-7 of w?
Step 1: Substitute 6 for s 6 = w-56
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
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