1. SWQ Review 1-1,1-4,1-5,1-6,1-7

4. Write an equation to represent the relationship “a number decreased by negative 2 is equal to 21.” Then solve the equation.

6. Solve each equation. 9(z  1)  2z  16  62

7. A car detailing company charges $30 plus $18 per hour. Another company charges $25 plus $20 per hour. How long is a job that costs the same no matter which company is used?

8. Solve and check

10. The length of 3 sides of a triangle are consecutive numbers. The perimeter of the triangle is 36 cm. What are the lengths of the three sides. (

11. 7 + 3d – 5 = -2 + 2d – 12 - d Solve and check

12. The sum of three consecutive even integers is 20 less than four times the first integer. What are the integers ?

15. The formula d = rt relates the distance an object travels d, to its average rate of speed r, and amount of time t that it travels. a. Solve the formula d = rt for t. b. How many hours would it take for a car to travel 150 miles at an average rate of 50 miles per hour?

16. The formula F − E + V = 2 relates the number of faces F, edges E, and vertices V, in any convex polyhedron. a. Solve the formula F − E + V = 2 for F. b. How many faces does a polyhedron with 20 vertices and 30 edges have?

18. A machine manufactures wheels with a diameter of 70 cm. It is acceptable for the diameter of a wheel to be within 0.02 cm of this value. Write and solve an absolute-value equation to find the minimum and maximum acceptable diameters.

19. Inline skates typically have wheels with a diameter of 74 mm. The wheels are manufactured so that the diameters vary from this value by at most 0.1 mm. Write and solve an absolute-value equation to find the minimum and maximum diameters of the wheels.