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Name: ___________________________________________________ Date: _________________________ Period: ________ Pre Algebra 2085 Midterm Review # 1 – Show ALL of your work on a SEPARATE paper. Simplify: 1. 2. −3(𝑥 − 7) + 8𝑥 (10 − 33 ∙ 22 ÷ 9 + 4) ÷ (−13) Solve the equations. Solve and graph the inequalities. 3. 2𝑦 − 18 = 44 5. 𝑎 3 4. 2(𝑛 + 3) ≥ −4 +9>8 6. 3 5 𝑦 = 12 Translate and Solve: 7. “If fourteen is added to five times a number, the result is 129.” Application problems: 8. A particle of salt floating in the air weighs 0.0005437 gram. Write this value in scientific notation. 1 5 4 8 9. Samantha’s group had 5 gallons of water and they drank 1 gallons of it. How much water does Samantha’s group have left? 10. The low temperatures in Hatfield during four winter days were 7℉, -2℉, -6℉, and 9℉. What was the average low temperature during these four days? 11. If the areas of the bodies of water are put in order from the least to the greatest area, which would be the THIRD on the list. Body of Water Area (𝑘𝑚2 ) Lake Harmony Lake Bluen Lake Oran Lake Seebs 12. What is the value of 3.1 × 105 2.3 × 104 6.7 × 102 5.4 × 103 p5 q 0 r if p 2, q 4, r 20 13. Write an expression to represent the total cost for the following situation: The postage for a priority mailing box is $1.57 for the first pound and $1.03 for each additional pound. The box you are mailing weighs 5 pounds. 14. Which statement is true? a. All whole numbers are natural numbers. b. An integer is irrational. c. All whole numbers are rational. d. Every rational number is negative. 15. What is the value of the expression: 225 42 2 37 10 16. a. How many cups of flour and sugar would you need if you were to make half a batch of cookies? Show or explain your work. COOKIES Ingredient Flour Amount for One Batch 4 1 𝑐𝑢𝑝𝑠 2 Salt 2 𝑡𝑒𝑎𝑠𝑝𝑜𝑜𝑛 3 Sugar 3 𝑐𝑢𝑝 4 Chocolate Chips 5 𝑐𝑢𝑝𝑠 b. If you have 3 cups of sugar in your kitchen, how many batches of cookies could you make? Show or explain your work. 17. Suppose the mall wants to paint the side of its building that is show to the right. They will not paint over the mural or the door. a. How many square feet of wall do you have to paint? Show or explain your work. b. If one gallon of paint covers 1,200 square feet, how many gallons of paint do they need to buy? Show or explain your work. Wall Mural 70 ft X 55 ft Door 17 ft X 40 ft 150 ft 105 ft