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Algebra Blizzard Bag #1 Chapter 1 Review Name ______________________________ Date ________________ Core _____ Work out all problems on another piece of paper. Simplify the expression. 1. 2x + 5 – 3x + 7 2. -2(7x – 3) For problems 4 – 9, solve the equation. 4. 3x – 6 = 21 5. 2x + 9 = 5 8 7 7. 7x – 15 = 7(x – 3) 8. 9x + 23 = –7x – 89 3. -5(2x + 1) – 5x – 1 6. 17x + 34 = 6x + 56 9. 4x + 7 = 4(x – 2) + 15 10. Cody wants to save $380 for a new digital camera. He has saved $120 and earns $6.25 an hour working at a grocery store. Write and solve an equation to find the number of hours Cody needs to work to have enough money to purchase the camera. 11. Dustin has $120 and saves $20 per week. Write and solve an equation to determine how long before he has $500. 12. You scored 88, 92, and 87 on three tests. Write and solve an equation to find the score you need on the fourth test so that your mean test score is 90. 13. Jack planted two beanstalks in his yard. One stalk is 24 inches tall and grows at a rate of 3 inches per day. The other stalk is 34 inches and grows at a rate of 2 inches per day. Write and solve an equation to determine how many days it will take until both beanstalks are the same height. How tall will the beanstalks be when this happens? 14. Adam was writing his lab report for science when he spilled juice on his notebook making some parts of the notebook hard to read. Since he had just calculated the mean, he remembered it had a value of 7.3 cm. Determine the number on the chart he was unable to read. Trial # 1 2 3 4 5 6 Height of Bounce (cm) 7.5 @#& 6.8 6.5 8.2 7.1