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Name: ______________________________________________ Date: __________________ Chapter 6 Test Study Guide Solve the equation. Check your solution. 1) a + 16 = –21 2) 14.075 = b – 3.8 4) d – 7.14 = –13 5) 7) –8h = –72 8) 10) 8m + 2 = –2 11) 8.6 = 0.2n + 3 13) 𝒓 3 + 14 = –31 14) 3 8 1 +𝒇 = 24 5 𝒋 = 25 6 3 1 6) 𝒈 − 9) 11 s + 2 = 12 4 3) – 9.56 = c + 12.2 12) 15) 𝒌 6 2 3 4 5 9 = − 10 = –11 (p + 6) = –22 −𝒕 3 –8=9 6 16) – 3(– 4x + 7) = 57 17) – 5(9 + x) = – 85 18) 19) – 7x + 4 – 3x = – 46 20) 6x – 9 + 7x = – 74 21) 120 = 32 + 18x – 26x 11 (x + 5) = 6 Solve each problem. Define a variable if necessary. Check your solution. 1 22) At a wildlife preserve, 3 of the total number of reptiles and birds are reptiles. There are 14 reptiles. Write and solve an equation to find the total number of reptiles and birds. 23) Caitlin has a $10 gift certificate to the music store. She has chosen a number of CDs from the $7 bargain bin. If the cost of the CDs is $32 after the gift certificate is credited, write and solve an equation to find the number of CDs that Caitlin bought. 24) For each month of a year, Selena saved an extra $100 from her paycheck. By the end of the year, she has saved $1,800. Write and solve an equation to determine how much she typically saved from each paycheck. Solve and graph the inequality on a number line. 25) 26) 27) 28) –4x – 11 > 33 29) 30) Solve each problem. Define a variable if necessary. Check your solution 31) 32) Sadie wants to make several batches of rolls. She has 13 tablespoons of yeast left in the jar and each 1 batch of rolls takes 3 4 tablespoons. Write and solve an inequality to find the number of batches of rolls Sadie can make. 33) Remington needs at least $3,000 to buy a used car. He already has $1,800. If he saves $50 per week, write and solve an inequality to find out how many weeks he must save to buy the car. ≥