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10-1 Solving Two-Step Equations CHAPTER 10 REVIEW Pre-Algebra 10-1 Solving Two-Step Equations Solve. Lesson Quiz 1. x – 3 = 10 x = –117 –9 2. 7y + 25 = –24 y = –7 3. –8.3 = –3.5x + 13.4 x = 6.2 4. y + 5 = 3 y = 28 11 5. The cost for a new cell phone plan is $39 per month plus a one-time start-up fee of $78. If you are charged $1014, how many months will the contract last? 24 months Pre-Algebra Lesson Quiz 10-2 Solve. 1. 6x + 3x – x + 9 = 33 x = 3 2. –9 = 5x + 21 + 3x 3. 5 + x = 33 8 8 8 4. 6x – 2x = 25 7 21 21 x = –3.75 x = 28 9 x = 116 5. Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Last week she worked 52 hours and earned $544. What is her hourly rate? $8.50 Lesson Quiz 10-3 Solve. 1. 4x + 16 = 2x x = –8 2. 8x – 3 = 15 + 5x x = 6 3. 2(3x + 11) = 6x + 4 no solution 1 1 x = 36 4. 4 x = 2 x – 9 5. An apple has about 30 calories more than an orange. Five oranges have about as many calories as 3 apples. How many calories are in each? An orange has 45 calories. An apple has 75 calories. WARM-UP – left over from Friday because Lexi will not let me forget An apple has about 30 calories more than an orange. Five oranges have about as many calories as 3 apples. How many calories are in each? An orange has 45 calories. An apple has 75 calories. Lesson Quiz: Part 1 Solve and graph. 1. 4x – 6 > 10 x>4 2. 7x + 9 < 3x – 15 x < –6 3. w – 3w < 32 w > –16 4. 2 w + 1 1 4 3 3 w 8 2 1 2 3 4 5 6 7 -10 -9 -8 -7 -6 -5 -4 -18 -17 -16 -15 -14 -13 -12 0 3 8 Lesson Quiz: Part 2 5. Antonio has budgeted an average of $45 a month for entertainment. For the first five months of the year he has spent $48, $39, $60, $48, and $33. How much 1 can Antonio spend in the sixth month without exceeding his average budget? no more than $42 Lesson Quiz: Part 1 Solve for the indicated variable. 1. P = R – C for C. C=R-P 2. P = 2l+ 2w for l. P – 2w= l 2 3V = h 3. V = 1 Ah for h. 3 A 4. R = C – S for S. C – Rt = S t Lesson Quiz: Part 2 5. Solve for y and graph 2x + 7y = 14. y = – 2x + 2 7 y 4 2 –4 –2 2 –2 –4 4 Lesson Quiz 1. Determine if the ordered pair (2, 4) is a solution of the system. y = 2x; y = –4x + 12 yes Solve each system of equations. 1 (2 , 2) 3. 6x – y = –15; 2x + 3y = 5 (–2,3) 2. y = 2x + 1; y = 4x 4. Two numbers have a some of 23 and a difference of 7. Find the two numbers. 15 and 8