Unit 4 Test Study Guide: Equations and Inequalities Name: ______
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Unit 4 Test Study Guide: Equations and Inequalities Name: ______1 Bonus Point for Parent Signature after completion ______
Solve for the variable in the following equations. Make sure to SHOW ALL OF YOUR STEPS and check your answers!!
1) x + 49 = 92 2) y + 12.5 = 27.9 3) c – 67 = 88 4) k – 9.2 = 17.8
c k 5) 9x = 774 6) 6y = 104.4 7) =12 8) 15 = 11 24
2 5 2 3 9) x + = 10) y - = 5 7 6 6
Read the following word problems, underline or circle any key words or information. Define a variable, write an equation and solve:
11) Sally had a book collection. She was given 12) Ms. Schorn unfortunately had to pay to fix her seventeen books from her 6th grade teacher and now car’s brakes which cost her $350 out of her bank she has 56 books. How many books were in her account. She now has $275 in her account. How collection before her teacher’s donation? much did she previously have in her account?
Graph the following inequalities on the lines provided: 13) x 100 14) y >15 15) c 66 16) 29.2 k
Solve and graph the following inequalities on the lines provided below. 17) x +27 < 62 18) y -98 = 55 19) c +8.2 > 14 x 20) 8k 291.2 21) 11 15
Write an inequality for each:
22) To rent the banquet hall you must have at least 23) Hightower’s auditorium can legally hold under 125 guests. ______250 people. ______
Write an inequality for each word problem, then solve (do not graph). You will use each of the operations ONCE
24) Ted can consume a maximum of 2500 calories 25) Dorothy was given money by her grandmother. per day. He has already consumed 1700 calories, how She went to Target and spent $27. After she was many more can he have today. done shopping, she had at least $50 left. How much did her grandmother give her?
26) AJ exercises 20 minutes a day. If he has exercised 27) Sarah wants to buy an expensive game system. less than 120 minutes, how many days could have She will divide the cost into 6 payments. If each passed? payment will be more than $50, how much could the game system cost?