### Chapter 8 Review Pre-Algebra Answer KeyPlay This Game

 Simple Equations and Inequalities #1 7x - 10x = 9 x= -3 #2 7x - 9 = -30 x = -3 #3 A true crab has 4 fewer than twice the number of legs that a hermit crab has. The hermit crab has 6 legs. How many legs does the true crab have? 8 legs #4 Fiona earns \$15 for each lawn she mows. Write and solve an inequality to find out how many lawns she must mow to earn at least \$135? 15m (greater than and equal to) 135; 9 lawns #5 Solve. -6x = 59.8 x = -9.96 (6 is repeating)
 Multi-Step Equations #1 Solve. 8x - 12= -20 x = -1 #2 Solve. 0.5(8x - 12) = -10 x = -1 #3 Three times the quantity h + 4 equals four times the quantity h - 1. What value of h makes this true? (Just solve for h). h = 16 #4 Five times the quantity s + 6 equals three times the quantity s - 2. What value makes this statement true? s = -18 #5 10z + 4 = 2(5z + 8) -12 all real numbers; identity property
 Multi-Step Inequalities #1 Solve and Graph. -4z + 8 < -27 + z z > 7, graph should have an open circle over the 7 and arrow should be going right) #2 4x > -36 x > -9 #3 12 - d > 40 d < -28 #4 f - 8 < -1.1 f < 6.9 #5 -6n <(or equal to) 18 n >(or equal to) -3
 Writing Equations #1 An annual pass for National Park entry costs \$80. The total income from the annual passes is \$12,800 in one month. Write an equation to represent the situation. 80p = 12,800 #2 Translate the sentence. The difference of a number and 7 is -8 n - 7 = -8 #3 Translate. The difference of a number and -7 is -2 n - (-7) = -2 #4 Translate. Two less than the product of three and a number is -9 3n - 2 = -9 #5 Write and Solve. Taylor attached 24 ribbons to a jacket in 4/5 of an hour. At this rate, how many ribbons could he attach in one hour? 30 ribbons
 Writing Inequalities #1 John has a gift card worth \$75. If each DVD costs \$12.50, how many DVD's can he buy if he spends no more than \$75? Up to 6 DVD's #2 Five times the sum of a number and 15 is greater than 37. n> 7 3/5 #3 Bradford earns \$8 for each car he washes. Write an inequality that can be used to find out how many cars he must wash to earn at least \$256. 8p (greater than and equal to) 256 #4 Translate. Six less than the product of four and a number is less than 0.5 times the opposite of the number. 4n - 6 < -0.5n #5 Translate. The sum of an integer and the next greater integer is at most 13. Write an inequality to find the lesser integer. Then solve. n + n + 1 (less than and equal to)13; n (less than and equal to) 6
 Final Question 3x + 2 + 5(x - 1) = 8x + 17 null set; no solution