# algebra - Practice Problems

1. A driver who drives at a speed of r mph for t hr will travel a distance d mi given by d=rt mi. How far will a driver travel at a speed of 59 mph for 8 hr?

The distance travelled is ___mi.

2. Translate to an algebraic expression.

5 less than q

The translation is ____

3. Translate to an algebraic expression.

The sum of a and b.

The translation is_____

4. Translate to an algebraic expression.

42 multiplied by t

The translation is _____

5. Translate into an algebraic expression. Use x and y for the variables.

The sum of twice a number plus five times another number.

The translation is _____

6. Translate into an algebraic expression.

The product of 49% and some number

The translation is ____ (type the percentage as a decimal. Use d to represent some number)

7. The peak of Nepal's Mount Everest stands 29,028ft above sea level.

What is the integer that best expresses the given number?______

(type a negative number with a negative sign, or type a positive number with no sign)

8. Graph the number on the number line.

Graph 9/2

-8 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

9. Use < or > to make the statement true.

-5 -1

10. Add the following -61 + 61=

11. Add the following -1 + (-6)=

12. Find the opposite, or additive inverse, of 62.

13. (Simplify the answer. Type a fraction)

14. In 1993, the elevation of an offshore well was -3240 ft. In 1998, a new well was 310 ft. deeper.

What was the elevation of the new well in 1998? ____ft

15. Subtract the following: -6 - (-2) =

16. Solve: -4 - 0 =

17. Subtract: 9.56 - (-10) =

18. One day the tempature dropped from -4 degree F to -13 degree F. How many degree did it drop?

19. Multiply. ( -4 )(8)=

20. Multiply. (28)(95)=

21. ( Simplify the answer)

22. Suppose there is a 2-degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 47 degrees, what would be the temperature when the plane reaches an altitude of 20,000ft?

23. After diving 97 m below the sea level, a diver rises at a rate of 6 meters per minute for 10 minutes. Where is the diver in relation to the surface?

24. Divide, if possible 100 รท ( -10 )= (Type N if the answer is undefined)

25. Simplify. (Type N if there is no solution)

26. Find the reciprocal. The reciprocal of is ___ ( Simplify the answer. Type a fraction)

27. Rewrite the division as a multiplicatikon. ( Do not simplify. Type a fraction)

28. Divide if possible. ( Simplify the answer. Type a fraction. Type N if the

answer is undefined)

29. Use multiplying by 1 to find an expression equivalent to with a denominator of 20x.

(The equivalent expression is ____. ( Do not simplify. Type a fraction)

30. Use a commutative law to find an equivalent expression. Nm An equivalent expression of nm is __.

31. Multiply. - 13(y-2)=

32. Factor 5r + 5 = ( Type in fraction form)

33. Collect like terms. 4s - 8s = (Simplify the answer)

34. Collect like terms. 19u + 4v - 9u=

35. Collect like tm. ( Do not factor. Type coefficients as fractions.)

36. Find the equivalent expression without parenthese. - (38u - 66v +42 )=

37. Remove parentheses and simplify. 6p + 8q - 9(6p - 3q + 5r )=

38. Simplify. 6{[3(y-4)+15]-[3(5y-2)+5]}= (Simplify the answer)

39. Simplify.

40. Simplify.

41. Simplify.

43. Simplify.

44. Simplify.

[See the attached Question File.]

#### Solution Summary

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