Chapter 2 Review Day 2 Rules • A question will be shown on board. • Everyone will work out the problem on piece of paper. • A name will be draw from a cup. • If you can answer correctly and show your work, then you may play the game. To Play the Game • FYI: You represent your team when you come up to play! • You will choose one card at a time to earn points. • You may choose only 1-5 cards at a time! • If you pick the card with a NINJA SHEEP, then you lose the points for that round (question). Problem 1: Solve each inequality and graph the solution on the number line. 3𝑥 ≤ 6 Problem 1: Solve each inequality and graph the solution on the number line. 3𝑥 ≤ 6 𝑥≤2 Closed circle on 2 Arrow to the left Problem 2: Solve each inequality and graph the solution on the number line. 2𝑥 + 1 > 3 Problem 2: Solve each inequality and graph the solution on the number line. 2𝑥 + 1 > 3 𝑥>1 Open circle on 1 Arrow to the right Problem 3: Solve each inequality and graph the solution on the number line. 3 𝑥−6 ≥3 Problem 3: Solve each inequality and graph the solution on the number line. 3 𝑥−6 ≥3 𝑥≥7 Closed circle on 7 Arrow to the right Problem 4: Solve each inequality and graph the solution on the number line. −2𝑥 ≥ 6 Problem 4: Solve each inequality and graph the solution on the number line. −2𝑥 ≥ 6 𝑥 ≤ −3 Closed circle on -3 Arrow to the left Problem 5: Solve each inequality and graph the solution on the number line. 4 − 𝑥≥4 5 Problem 5: Solve each inequality and graph the solution on the number line. 4 − 𝑥≥4 5 𝑥 ≤ −5 Closed circle on -5 Arrow to the left Problem 6: Solve each inequality and graph the solution on the number line. 15 ≥ 10 + 𝑥 Problem 6: Solve each inequality and graph the solution on the number line. 15 ≥ 10 + 𝑥 𝑥≤5 Closed circle on 5 Arrow to the left Problem 7: Write a compound inequality that represents the possible solutions. Then graph the compound inequality on number line. A number less than 2 or greater than 5. Problem 7: Write a compound inequality that represents the possible solutions. Then graph the compound inequality on number line. A number less than 2 or greater than 5. 𝑥 < 2 𝑜𝑟 𝑥 > 5 Open circle on 2, arrow left Open circle on 5, arrow right Problem 8: Write a compound inequality that represents the possible solutions. Then graph the compound inequality on number line. A number greater than or equal to 10 and less than 20. Problem 8: Write a compound inequality that represents the possible solutions. Then graph the compound inequality on number line. A number greater than or equal to 10 and less than 20. 𝑥 ≥ 10 𝑎𝑛𝑑 𝑥 < 20 Closed circle on 10, arrow right Open circle on 20, arrow left Problem 9: Write an inequality that shows the number of DVDs, d, he can buy without spending $50 or more. Chris buys DVDs at Best Buy for $5 each. He needs to spend less than $50. Problem 9: Write an inequality that shows the number of DVDs, d, he can buy without spending $50 or more. Chris buys DVDs at Best Buy for $5 each. He needs to spend less than $50. 5𝑑 < 50 𝑑 < 10 Problem 10: Write an inequality that shows the number of gum packs, g, he can buy without spending more than $5. Paul buys packs of Trident gum for $1 a pack and a drink for $2.50. He only has $5 to spend. Problem 10: Write an inequality that shows the number gum packs, g, he can buy without spending more than $5. Paul buys packs of Trident gum for $1 a pack and a drink for $2.50. He only has $5 to spend. $1𝑔 + $2.50 ≤ $5 𝑔 ≤ 2.5 𝒈≤𝟐 Problem 11: Write an inequality that shows the number of shoes, x, she can buy without spending more than $30. Mary buys pairs of sandals for $7 a pair and a shirt for $13. She only has $30 to spend. Problem 11: Write an inequality that shows the number of shoes, x, she can buy without spending more than $30. Mary buys pairs of sandals for $7 a pair and a shirt for $13 She only has $30 to spend. $7𝑥 + $13 ≤ $30 𝑥 ≤ 2.428 … 𝒙≤𝟐 Problem 12: Write the corresponding inequality statement for when Franco is at least 6000 feet from home. Franco is riding his bike to school at a rate of 600 feet per minute. His school is 9000 feet from his home. The graph represents his distance from home over 17 minutes. Problem 12: Write the corresponding inequality statement for when Franco is at least 6000 feet from home. Franco is riding his bike to school at a rate of 600 feet per minute. His school is 9000 feet from his home. The graph represents his distance from home over 17 minutes. 𝑥 ≥ 10 The graph represents the temperature range in a city over 20 hours. Samantha hates extreme heat and decides she will only go outside when the temperature is 90° or less. Temperature (degrees Fahrenheit) Problem 13: Write the corresponding inequality statement for when Samantha will be able to go outside. 100 90 80 70 60 The graph represents the temperature range in a city over 20 hours. Samantha hates extreme heat and decides she will only go outside when the temperature is 90° or less. 𝑥 ≤ 12 Temperature (degrees Fahrenheit) Problem 13: Write the corresponding inequality statement for when Samantha will be able to go outside. 100 90 80 70 60