Unit 4 study guide

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University of Florida **We aren't endorsed by this school
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SCIENCE 12
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Mathematics
Date
Oct 20, 2023
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2
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Algebra 1 Unit 4 Study Guide Solving Inequalities Explain why the solution is correct or incorrect Solution Correct or Incorrect Explanation Example: K < 3.2 K = 5 Incorrect K cannot equal 5 because 5 is not less than 3.2 1. 8.3 > m M = 2.9 Correct The solution is correct because 2.9 is less than 8.3. 2. Z < 2.9 Z = 2.9 Incorrect The solution is incorrect because Z is not less than 2.9, it is equal to 2.9. 3. W > 7.4 W = -12 correct The solution is correct because -12 is greater than 7.4, 4. If N is the set of natural numbers that are factors of 45, list the set in roster form. N = {1, 3, 5, 9, 15, 45} 5. U = {1,2,3,4,5,6,7,8,9,10} is the universal set, and P = {1,3,5,7,9}. What is P' P' = {2, 4, 6, 8, 10}. 6. Write and solve an inequality for the following situation: The cat rescue is selling cat beds as a fundraiser. If its goal is to raise $1300, how many cat beds must be sold at $15.00 each to meet the goal? 15x ≥ 1300 Dividing both sides of the inequality by 15: x ≥ 86.67 Round up to the nearest whole number: 87 cat beds must be sold at $15.00 each to meet the goal of raising $1300.
7. Molly scored 150 and 175 points on her first two rounds of Candy Crush. Write and solve a compound inequality to find the possible values for a third game that would give her an average between 160 and 170. (150 + 175 + x) / 3 160 ≤ (150 + 175 + x) / 3 ≤ 170 multiply each side by 3 480 ≤ 325 + x ≤ 510 subtract 325 from each side: 155 ≤ x ≤ 185 = Molly can get on her third game to have an average between 160 and 170 are between 155 and 185. 8. Graph the following inequality: w ≤ 5 9. Solve and Graph: 3 x >− 6 3x > -6 is x > -2. 10. Solve and graph: 2 x 2 <− 10 2 x + 3 > 15 2x - 2 < -10 is x < -4.
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