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L1 – Pre-Algebra Test Name: __________________________ Date: _________ Section: __________ 1-2. Simplify using the Distributive Property. 1. 6(10y – 4) 2. 3(9 + 2x) 3-4. Factor using the distributive property using the GCF. 3. 10x – 35 4. 12y – 48 5-6. Simplify by combining like terms. 5. 2y + 13y + 8y 6. 15 + 3x + 1 + 7x 7-8. Evaluate using order of operations. Show all work. 7. 15 + 3(7 - 4) 8. 4² + 12 ÷ 3 * 5 9-10. Use the formula to solve for the missing variable. Show all work and remember labels!! 9. Area = length * width A = l * w; l = 6 cm and w = 12 cm 10. Distance = rate * time d = r * t; r = 50 miles per hour and t = 6 hours 11. Complete the table of values for the formula y = 4x + 3 x 2 4 6 8 10 y 12-13. Find two formulas relating the variables: 12. ___________________________ 13. _______________________ x 2 4 6 9 12 y 11 19 27 39 51 a 16 18 20 22 24 b 9 11 13 15 17 14-16. Write an algebraic expression for each phrase: 14. the product of a number y and 6 14. _______________ 15. the difference between 5 times a number k and 3 15. _______________ 16. 6 times the sum of a number d and 6 16. _______________ 17-18. Write a phrase for each algebraic expression or equation. 17. 5y + 9 _______________________________________________ 18. x ÷ 10 ________________________________________________ 19-23. Solve each equation. Show ALL work. Be sure to show work on both sides of the equation. 19. x + 23 = 52 19. __________ 20. 6k + 15 = 45 20. __________ 21. 9p = 126 21. __________ 22. x 12 18 7 23. 27 = 6y - 27 22. __________ 23. __________ 24. Mikey earned $195 mowing lawns this weekend. He charges $15 per lawn. Write and solve an equation to find how many lawns he mowed. 25. Mrs. Brady bought colored pencils for all her students. It cost $2.00 per box plus $10 in tax. The total cost was $216. How many boxes of colored pencils did she buy? Write and solve an equation to find how many boxes she bought. Extra Credit (5 pts): Solve the equation. Be sure to show all steps and work on both sides of the equation. 6x – 16 = 3x + 50