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Name ____________________________________________________ Per ___ Date_________ Pre-Algebra Midterm Review Ch 3 & 4 Chapter 3: Operations With Rational Numbers 1. Iggy the Inchworm can crawl 2 yds. He has already crawled of the way. How far has Iggy crawled? How much further does Iggy need to go? 2. Felicia needs 1 yds material for her cheer outfit. She has of the material. How much material does she have? How much more does she need? 3.1 : Fractions and Decimals Replace the ____ with the symbol (<, >, =) that makes a true sentence. 3. ______0.2 4. _____ 0.45 5. _____ 0. 63 6. Write each fraction as a decimal. 7. 8. 9. 3.2 : Rational Numbers Write each decimal as a fraction or mixed number in simplest form. 10. 0 .55 11. 3.62 12. 0.04 _____ 0.50 13. Last night, Jada read 0.24 of her book. Write this decimal as a fraction in simplest form. 3.3 - 3.5: Multiplying, Dividing, Adding & Subtracting Rational Numbers Find the sum, difference, product or quotient. 14. 15. 16. 17. 20. 18. 19. 21. 22. 23. Show how the number line can be used to calculate the sum 24. Show how the number line can be used to calculate the sum Chapter 4: Expressions & Equations 25. Shivam wants to buy a bicycle that costs $200. He saves $33 each week from the money he earns mowing lawns. He also saves $15 from his birthday money. How many weeks will it take Shivam to save enough to buy his bicycle? Define your variable, write an equation to model the situation, and solve. 26. Three families went to Great Adventure together. There were eight people altogether. Altogether they paid $224 while at the amusement park. Each person spent $8 on food. How much did each person pay for admission? Define your variable, write an equation, and solve. 4.1: The Distributive Property Use the distributive property to rewrite the expressions. 27. -5(3x + 4) ____________________ 28. 6(3a – 5) _________________________ 4.2: Simplifying Algebraic Expressions Write a variable expression for each phrase. 29. The sum of a and b _______________ 30. The product of x and y ___________ 31. The quotient of h and k _______________ 32. The difference of a and b ________ Simplify the expressions. 33. 6y -3(y- 4) + 2y 34. 5n + 3 – n - 8 35. -2(m – 2) + 5m -3 36. 4(2x + 3) – 8x -5 4.3-4.5: Solving Equations Solve the following equations. 37. 2y + 8 – 7 = 9 38. 3(x + 4) + x = 32 39. 40. 9(x - 2) + 3 – 4x = 20 6x – 4 – 5x = 10 41. Jillian and Sam are solving the equation 5x – 2(x + 4) = 10. Is either of them correct? Explain your reasoning. Jillian: 5x – 2(x + 4) = 10 5x – 2x + 4 = 10 3x + 4 = 10 3x = 6 x=2 Sam: 5x – 2(x + 4) = 10 5x – 2x – 8 = 10 3x – 8 = 10 3x = 18 x=6