Chapters 1-6(Page 7 of 8 pages)

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Cumulative Test

1. Write the numbers in increasing order.0352473, -5' 3' -3' 7' 4' -2'

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2. State the property that is illustrated.(5 • 2) • 3 = 3 • (5. 2)·

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3. Evaluate 100 - (6)(4x) -7- y when x = 20 and y = 5. 3. _

4. Use a calculator to evaluate the expression to two decimal places. 4. ---------9.83z - (7.16)(3.82) when z = 6.62

5. Solve the equation.

3(5 + 4x) = 7 - 2(3 - 4x)

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6. Solve for t.A = P(1 + rt)

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84 Chapters 1-6 • Cumulative Test ® D. C. Heath and Company Algebrq.2

Cumulative Test Chapters 1-6(Page 2 of 8 pages) Name

7. Solve and graph the inequality.

2x - 5 < 3(x - 2)7.

0( I I I I I I I I I )0 Usegraph at left.

8. Solve and graph the inequality.

13 - 2xl ::::58.

Usegraph at left.0( I I I I I I I I I ~

9. Write the equation of the horizontal line passing through the point 9. _(-7, -2).

10. Write the equation of the line passing through the points(7, 1) and (0, -3) in slope-intercept form.

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11. Which of the given lines are parallel?

2x - 4y = 5, 4x + 2y = 5, x - 2y = 5

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Cumulative Test Chapters 1-6(Page 3 of 8 pages) Name

12. Bicycling At 12 noon two bicyclists going in the same direction 12. _are 15 miles apart. At 2:30 P.M. they are 10 miles apart. Write anequation for the distance, D (in miles), separating the bicyclists 17nterms of the time t. (Assume t = 0 at 12 noon.) r

13. The values of x and y vary directly. y = 18 when x = 4. Write an 13. _equation that relates the variables.

14. Is the ordered pair (6, 7) a solution of the inequality?

5x - 3y ::::7

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15. Sketch the graph of theinequality.

y:::: ~x + 3

15. Use graph at left ..

86 Chapters 1-6 • Cumulative Test, ~-

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Cumulative Test Chapters 1-6(Page 4 of 8 pages)

16. Evaluate 5 - 312 - 4xl when x = 2.

17. Sketch the graph of theequation.

y = 3 - 12x - 11 .

Label the vertex.

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18. Are there none, one, or many solutions to the system?

{ 4x - 3y = 22x - 12y = 8

19. Solve the system of linear equations.

{3x + 6y = 42x -:- 3y = -4

20. Graph the system of linearinequalities and find themaximum value of C under theconstraints.

C = -4x + 7y Constraints

{y.~ h + 1Y 2: -1x::: 3

Algebra 2 @ D.C.HeathandCompany

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17. Usegraph at left.

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20. _Usegraph at left.

Chapters 1-6 • Cumulative Test 87

~l · Sva\ua+e +he binomial Coet(;c.fenf. (~)

2Y. A- AND f3 A~~ IND€PE:ND EArT EVIE:.t\JT~.

P(A) ;: O,~

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Cumulative Test Chapters 1-6(Page 6 of 8 pages)

27. tt g I solve the system.

{

X + y + z =-23x - y + 2z = 12x - 2y - z = 9

28. solve the linear system.

{5x - 4y = 82x + 7y =-3

29. Solve the equation.

5x2- 8 = 22

30. Solve the equation.

3x2 + 5x ., 1 = 0

31. Sketch the graph of theparabola. Label the vertex.

y = _x2 +4x-1

Algebra 2 CD D. C. Heath and Company

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31. Use graph at left.

Chapters 1-6 • Cumulative Test 89

Cumulative Test Chapters 1-6(Page 7 of 8 pages) Name

32. Solve the"equation. Round your result to two decimal places.

O.3x2~ O.2lx - 0.14 = 0

33. Simplify (2i)2 - (3i)(i2).

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34. Perform the indicated operations and simplify.

(3 - 2i)(4 - i) + (-2 - 5i)

35. Solve the equation.4x2 +x + 1=.0

36. Is the relation a function? If so, find its inverse.

(-2, 4), (-1, 3), (1, 2), (2, 1),

37. I(x) = 1 - 3x; g(x) = tx + 1.

Find f(x) • g(x) and f(g(x».

90 Chapters 1-6 • Cumulative Test

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Cumulative Test Chapters 1-6(Page 8 of 8 pages)

38. Find the inverse of the functionand graph both on the samecoordinate axes.

f(x) = -tx - 1

39. Evaluate f(3).

{x2 - 3

f(x) = 3x - 5: x::::2x>2

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38. Usegraph at left.

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40. Write f(x) = 13x -61 as a compound function. 40. ---------

41. How is the graph of f(x) = (x - 1)2 obtained from the graph of 41. ---------g(x) = x2?

42. Find the first four values of the recursive function. 42. ----'-------fO) = 3; f(n) = f(n - 1) + 2n

43. Find the mean, median, and mode of the data given below.

10,5,8, 7, 7, 9, 6, 11,~7,10, 12

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Chapters 1-6- Cumulative Test 91