Solving Linear Equations Unit Test

Solve the equation.

1. 5/3c = 2/3

2. (x + 6)/3 = (x -5)/2

3. 3(w + 4)/4w = -5/4

4. 15/8y = 21/4(y-3)

5. -4/9 (2x - 4) = 48

6. 5m - (4m -1) = -12

7. 8/9 x = 2/3

8. 3/10 y = 40

9. 2/3.z = -4.1/9

10. -5/6b = -20

11. 3/2(x + 12) = 27

12. -4/5(5x -10) =16

13. 4x -8(7 - x) = 16

14. 45x -4(12x -3) = 12

15. 5(2 - x) + 7x = -3(x + 5)

16. 2/3 (18x -12) = 7 - 3 (x - 3)

17. Temperature Conversion Formula: K = 5/9(F - 32) +273 Solve for F.

18. Annual Interest Rate: A = P + Prt

Solve for r.

19. A car uses fuel at a rate of 15 miles per gallon. Predict how many miles the car can travel on 31.5 gallons of fuel.

20. The sum of three numbers is 301. The second number is 3 less than twelve times the first number. The third number is 4 more than seven times the first number. Find the three numbers.

21. Two friends live 15 miles apart. One day, they decide to jog and meet each other. Tanya leaves her house and heads east, jogging at a rate of 2.5 miles per hour. At the same time Kelly leaves her house and heads west, jogging at a rate of 3.5 miles per hour. How long does it take for the two to meet?

Rewrite the equation so that y is a function of x.

22. 1/7(49 - 7y) = 5x + 3y + 14

23. 4(2x -3y) = -5(x + 3y)

24. You and your family go to a restaurant. The bill is $26.98, including $1.53 in tax. Find the percent tax.

25. The length of a rectangle is 98 inches. The ratio of the length to the width is 4:3. Find the width.