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Module 1. Test Review. Question #1. If Eddy wants to have a party and invite all his friends, it is going to cost him $150 to cater the party, plus $4 per person for drinks. If he only has $350 to spend, how many people can he invite to his party? Equation: 4x + 150 = 350 Answer 50 people.
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Module 1 Test Review
Question #1 • If Eddy wants to have a party and invite all his friends, it is going to cost him $150 to cater the party, plus $4 per person for drinks. If he only has $350 to spend, how many people can he invite to his party? • Equation: 4x + 150 = 350 • Answer 50 people.
Question # 2 • Solve and Justify: 5p – 12(3p + 2) = 51 • Step 1:5p – 36p- 24 = 51 Distribute • Step 2:-31p = 75 Combine Like Terms & Add POE / Add Inverse • Step 3:p = -75/31 Division POE/Mult. Inverse
Question # 3 • Solve for x: Axyπ = BC • Answer:x = BC/Ayπ
Question #4 • Wes likes to buy wings and a coke for the big game each Sunday and the wings cost $8/ dozen(only sold in dozens, not individually) and the coke costs $2, write an inequality expressing the fact that Wes can only spend $36 on his meal. • Answer: 8x + 2 ≤ 36 • How many wings can he buy? • Answer: 4 dozen or 48 wings • Is 3 dozen wings a solution to the inequality? • Answer: Yes, Wes could buy 3 dozen wings and still be under budget.
Question #5 • Solve and Graph on a number line the following inequality5x – 7 ≥ 8 • Answer: x ≥ 3Graph on Board
Question #6 • If x = y, is ax = ay? Explain why or why not. • Answer: Yes, they are equal because if x = y, then if you multiply them by the same number they will always be equal.
Question #7 • Graph the following equationy = 3/2x + 5 • Answer:
Given the pattern below, answer the following questions • 1. How many tiles will be in the 5th stage? • Answer: 9 • 2. Write an equation that will be able to determine the number of tiles in any stage. • Answer: 2x – 1 • 3. How many tiles would be in the 25th stage? • Answer: 49
Use the following table of symbols to answer the questions • Explain the meaning of C x A. • Answer: Total cost of mowing per week. • Write an inequality expressing that the weekly income from mowing must be more than the total cost of mowing per week. • Answer: C x A < I • Write an inequality expressing that if a worker makes $30 per acre mowed, plus $10 flat fee he will have more than $500. • Answer: 30A + 10 > 500 • How many (whole) acres will he have to mow to earn more than $500? • Answer: 17 acres.