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Bell Work: Solve: -2x + 17 = 3 Answer: x=7 Test 5 Review 6. Jeremy can type 144 words in 4 minutes. How many words can he type in 10 minutes at the same rate? Answer: 360 Words 1. The ratio of in-state to outof-state visitors to the amusement park was 5 to 2. If there were 14,000 visitors to the park, how many were from out of state? Answer: 4,000 7. The sales tax rate is 7.5%. What is the tax on a $12.40 purchase? Answer: $0.93 2. A company is painting the exterior walls of a warehouse. Find the lateral surface area of the walls in square feet. Answer: 12,000 ft 2 8. If 40% of the students in the class are boys, and if there are 18 girls in the class, then how many students are in the class? Answer: 30 students 3. If a gallon of paint covers 400 ft , how many gallons of paint are needed to paint the warehouse? 2 Answer: 30 gallons 4. What is the area of the quadrilateral? Answer: 256 cm 2 5. What is the perimeter of the quadrilateral? Answer: 68 cm 11. Solve for x: 2x – 1.8 = 2.4 Answer: X = 2.1 17. Solve: 8 a x 10 4 x 10 4 Answer: 2500a 10. Monica wants to tie a ribbon around the trunk of an oak tree that has a circular trunk about 20 inches in diameter. Not counting the ribbon needed to make a bow, about how many inches or ribbon are needed just to reach around the tree? Answer: 63 inches 5 7 18. Solve (1.2 x 10 )(6 x 10 ) Answer: 7.2 x 10 12 9. A lawn sprinkler sprays a circular pattern 14 feet out from the sprinkler head. About how many square feet of lawn does the sprinkler water? Answer: 616 ft 2 19. The interior dimensions of Sal's refrigerator are 5 ft by 2 ½ ft by 2 ft. Find the capacity (volume) of the refrigerator in cubic feet. Answer: 25 ft 3 12. Solve for x: ½ x + 1/3 = ¾ Answer: x = 5/6 15. Simplify: 2 ⅔ 1 ½ - 3 ¾ Answer: ¼ 20. Find ½ (a + b)h when a = 6, b = 8, and h = 4 Answer: 28 13. Simplify: 3x + 2y – x + y Answer: 2x + 3y 2 3 16. Simplify: a b c abc Answer: ab 2 14. Simplify: 3(x + 2) + 2(x + 3) Answer: 5x + 12 One angle of an isosceles triangle is 100°. What is the measure of the other two angles? Answer: 40° and 40° To the nearest cent, what is the cost of 10.2 gallons of gasoline at $2.189 per gallon? Answer: $22.33 The team’s win-lost ratio was 3 to 2. The team played 30 games without a tie. How many games did the team win? Answer: 18 games A bag contains only red marbles and blue marbles in the ratio of 3 red to 2 blue. If there are 24 red marbles, how many blue marbles are there? Answer: 16 blue marbles A bag contains only red marbles and blue marbles in the ratio of 3 red to 2 blue. If one marble is drawn from the bag, what is the probability that the marble is blue? Answer: 2/5 A pyramid with a square base has how many edges? Answer: 8 edges Write 8% as a reduced fraction and as a decimal. Answer: 2/25, 0.08 What is the volume of a shipping box that is 3 inches by 12 inches by 18 inches? Answer: 648 in 3 The outside surfaces of a cereal box are printed with text and pictures. What is the print area (surface area) of a box that is 2 inches wide, 7 inches long and 10 inches tall? Answer: 208 in 2 The speed of light is about 1.86 x 10 miles per second. Write that number in standard form. 5 Answer: 186,000 When Xena says a number Yoli doubles the number. Make a table that shows three pairs of numbers Xena and Yoli might say. Answer: (1, 2) (2, 4) (3, 6) When Xena says a number Yoli doubles the number. Write an equation for the function. Start the equation by writing y = . Answer: y = 2x About how many inches does a 30-inch diameter tire roll in one turn? (use 3.14 for π) Answer: 94.2 inches A six-foot diameter circular table top has an area of about how many square feet? (use 3.14 for π) Answer: 28.26 feet 2 Express the length of the hypotenuse of this triangle as an irrational number. 5 3 Answer: √34 Solve: ½ x = 2/7 Answer: 4/7 Expand: -3(x + 2) Answer: -3x – 6 Simplify: (-12) – (-3)(4) (-3)(-4) Answer: 0 Simplify: -5 + √(25 – 26) 2 Answer: -1 2 Simplify: (3x y)(2xy) Answer: 6x y 3 2 Simplify: ¼ + ½ + ⅚ Answer: 19/12 or 1 7/12