1. Name: ____________________________ Date: ____________ Section: _____ Inequalities in Word Problems Equations: __________________________________________ Example: Inequalities: _____________________________________________________ Example: What do the graphs look like? 2 + x = 4 2 + x > 4 Inequality Key Words: I can explain the difference between equations and inequalities. I can identify inequality key words. I can write inequalities from real-life situations. Basic Examples: Remember to circle key information and underline the question! Example 1 Erneisha is buying pieces of candy, c, for her classmates. She needs at least 120 pieces to ensure she has enough for everyone. Write an inequality to show the amount she needs. Then, graph the solution on a number line. Example 2 Mr. Larson made this statement about the temperature in his house. “I keep the temperature in my house greater than 72°F and less than 75°F.” Write an inequality to show the temperature of Mr. Larson’s house. Then, graph the solution on a number line. <><>

2. 1) Which graph below illustrates a temperature that is at least -8 degrees Fahrenheit? 2) The New Orleans Hornets are having a sale on basketball tickets. A fan can get a ticket for only $5 per ticket. Matt wants to take a lot of friends to the game, but wants to spend at most $65. Which inequality represents the amount of tickets Matt can get? A. $5 + $65 < t B. $65 ÷ t > t C. $5t < 65 D. $65 – t > $5 3) Timothy needs to bring up his grades so he can play basketball. His teacher says he can earn 4 extra points for each extra credit assignment, e. She says he can earn no more than 44 points. Write an inequality to show how many assignments, e, Timothy could do. Then solve and graph the inequality. 4) Admission to a theme park is $36 per student, s. What is the largest group the school can take if they want to spend less than $300? Write an inequality to represent the problem. Then solve and graph the inequality to find the answer. Example 3 Briann wants to start shopping for prom. She needs to pay for a dress, plus a new pair of shoes. She found shoes for $28. What amount, a, could she spend on her dress if she can spend up to $110 total for prom? Write the inequality, solve, and graph the solution. Practice Problems

3. Name: _______________________ Date: ____________ Period: _____ Homework 1) Mrs. Stafford tells her class that there will be AT LEAST SIX questions about inequalities on the next math test. Which inequality models this situation if q is the number of inequality questions? A. q ≥ 6 B. q > 6 C. q ≤ 6 D. q < 6 5) Which equation represents the following situation? Lara picked 22 of the 49 apples on the tree. How many apples, a, are left on the tree? A. 22a = 49 B. a + 22 = 49 C. 49 + a = 22 D. 22 – a = 49 MIXED REVIEW 3. At the school fall carnival, the PTO will sell Now, graph your solution to #3 here. school t-shirts. The PTO does not expect to sell more than 150 t-shirts. Which inequality shows the number of t-shirts (t) they expect to sell? A. t < 150 B. t ≤ 150 C. t > 150 D. t ≥ 150 CHALLENGING! 4)Susanna gets $85 for her birthday. She wants to Now, graph your solution to #4 here. buy 3 CDs and a hoodie that costs $36.00. If c stands for the cost of a CD, what inequality can Susanna use to determine the amount of money she can spend on each CD? A. 85 < 36 + 3c B. 85 ≤ 36 + 3c C. 36 + 3c < 85 D. 36 + 3c ≤ 85 2) An amusement park has a water slide for young children only. No one over 48 inches tall may slide on it. Which inequality would represent the height of children who can participate? A. h < 48 in. B. h ≤ 48 in. C. h > 48 in. D. h ≥ 48 in. 6) Bill correctly answered 18 items on his math test and received a score of 72. If each test item is worth the same number of points, how many points, p, was each item worth? A. 72 – p - 18 B. 18 + p = 72 C. 72p = 18 D. 18p = 72

4. Name:______________________________date:_____________ Inequalities in Real-Life Problems SHOW ALL WORK 1) A youth group is washing cars to raise money. A car wash ticket, t, costs $5.00, and the group wants to raise at least $1000. Which of the following correctly represents this situation? A. 5t = $1000 B. 5t ≤ $1000 C. 5t ≥ $1000 D. 5t < $1000 2) Cyril owns c hats. Danielle owns d hats. This inequality compares these variables. c + d ≤ 9 Which statement does this inequality model? A. Danielle and Cyril together own at least 9 hats. B. Danielle and Cyril together own at most 9 hats. C. Danielle and Cyril together own less than 9 hats. D. Danielle and Cyril together own more than 9 hats #3) Casey’s bike shop sells r racing bikes and m mountain bikes in a month. The shop sells more than 5 mountain bikes for every racing bike sold. Which inequality correctly represents the relationship between m and r ? A. m < 5r B. m > 5r C. 5m < r D. 5m > r #4) John receives a salary of $500 per month. He also receives 15% of his total sales (x). Which inequality could be used to find the amount John must sell in order to make AT LEAST $1,000 per month? A. 1, 000 ≤ 500 + 15 B. 500 + 0.15x ≥ 1, 000 C. X ≥ 500 + 0.15(1, 000) D. 1, 000 ≤ x + 0.15(500)

5. Name: _______________________ Date: ____________ Period: _____ CONSTRUCTED RESPONSE PRACTICE 1)Rex earns a salary of $150 per week plus a commission of 1/10 of his sales, s, for the week. Rex wants to earn at least $214 next week. A. Translate the situation described above into an inequality. B. Use your inequality to determine how much Rex needs to sell to reach his goal. Show all of your work. C. Graph the solution from Part B. on the number line below. 2) Emily and Joel are working on a science fair project. Emily wrote the expression below relating the number of deer (d) to the number of wolves (w) in a stable ecosystem. w < A. Write a sentence that expresses the real-life meaning of this inequality in words. B. Joel suggested that the number of deer is actually more than 30 times the number of wolves in a healthy ecosystem. Write Joel’s suggestion as an inequality.