Name Class Date

Quarter 1 Test Form GChapters 1–3

1. Evaluate 3(x2 - 4) + 7(x - 3) for x = 6.

2. Simplify 3(a - 4b) - 2(a - 3b).

Solve each equation.

3. x - 4(3 - 2x) = 5x + 8

4.

Solve each inequality. Graph the solution.

5. 4x + 21 $ -27

6. Δ3x - 4« + 6 , 10

7. Solve the compound inequality -3x + 5 # 17and 5x + 3 # 18. Graph the solution.

Find the domain and range of each relation, anddetermine whether it is a function.

8. (1, -2), (2, -6), (3, -10), (4, -14)

9.

Find the slope of each line.

10. through (8, 5) and (9, -3)

11. through (4, -2) and parallel to x = 1

12. y varies directly with x: y = -2 when x = 4.Find the constant of variation. Then find the value of y when .

Graph each function or system.

13. y = -Δx - 3« + 2

14.

Solve each system using any method.

15.

16. •2x 1 y 1 z 5 3

2x 1 3y 2 z 5 29

3z 5 12

e2x 5 8y 1 24

3x 1 5y 5 2

x

y

e2x 1 y , 2

x 1 y # 23

x

y

x 5 212

O

4

2

�2

�2

�4

�4 42x

y

VU

5x 1 166

5 223

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Name Class Date

Quarter 1 Test (continued) Form GChapters 1–3

17. Graph -3x + 2y - 4z = 12.

18. One evening 1500 concert tickets were sold forthe Wauseon Jazz Festival. Tickets cost $25 forcovered pavilion seats and $15 for lawn seats.Total receipts were $28,500. Solve a system ofequations to determine how many of each typeof ticket were sold.

19. Which point is on the graph of 3x - 2y + z + 4 = 0: (1, 4, 2) or (2, 2, -6)?

20. A candle is 8 in. tall after burning 2 h. After 4 h it is in. tall. Write a linear equation tomodel the height y of the candle after x hours.After how many hours will the candle be 4 inches tall?

21. You are making chocolate tea bread and aspecial oatmeal bread to sell at a bake sale.A batch of chocolate tea bread requires 2 eggsand 2 cups of flour. The oatmeal bread requires3 cups of flour and 1 egg. You have 12 cups offlour and 8 eggs on hand. You make a profit of$2 on both kinds of bread. Write a set ofconstraints that could be used to graph thefeasible region.

22. Compare and 9.8. Use ,, ., or =.

23. Simplify the expression 7a2 - 4a + 2b - a2 + 3.

24. The distance a train travels varies directly withtime. In 2.5 hours, the train travels 105 miles.How far does it travel in 6 hours?

25. Write the equation in slope-intercept form.

x - 4y = -20

26. Write the equation of the line perpendicularto y = 0.4x - 1 and passing through the point(10, -6).

27. Describe the transformations of f(x) thatproduce g(x) if f(x) = x2 - x and g(x) = 2x2 + 2x.

28. Solve the system by graphing.

29. Solve .

30. Find all the whole-number solutions to the

system .•y . Zx 2 3 Z

y # 213

x 1 4

e5x 1 2y 5 22.2

2x 2 5y 5 40.3

x

y

e2x 1 3y 5 24

y 5 2x 2 3

"90

512

y

x

z

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Name Class Date

Quarter 2 Test Form GChapters 4–5

1. Write the equation of the parabola in standardform.

2. Graph y = x2 - 4x + 3. Label the axis ofsymmetry and the coordinates of the vertex.

Simplify each expression.

3. (-4 + 3i) - (8 + i)

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

Solve each quadratic equation.

5. x2 + x - 12 = 0

6. x2 + 8x + 21 = 3

7. Find the additive inverse of 8 + 2i.

8. Write ƒ(x) = -3x2 + 6x - 8 in vertex form.Sketch the graph of the function. Label itsvertex.

9. Find the discriminant of the related quadraticfunction and determine the number of real andimaginary solutions of -x2 + 3x - 10 = 0.

10. Write the polynomial 3x(x - 4)(x + 1) instandard form. Then classify it by degree and number of terms.

11. Find the zeros of y = 2x3 + 2x2 - 40x.

12. Find the real solutions of x4 - 2x3 = 3 using agraphing utility. Round each solution to thenearest hundredth.

13. Find all the rational roots of 2x3 - 7x2 + 9 = 0.

14. Find all the complex roots of x3 + 2x2 + x + 2 = 0.

x

y

x

y

O

2

�2

�2

�4

�6

�4 42x

y

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Name Class Date

Quarter 2 Test (continued) Form GChapters 4–5

15. Write a polynomial function with rationalcoefficients in standard form whose zeros are -5, 4, and 6.

16. Divide using long division.

(x2 + 5x + 6) � (x + 2)

17. Divide using synthetic division.

(2x3 + 7x2 - 5) � (x + 3)

18. Expand (2x - y)4.

19. Factor 6x2 + 13x - 5.

20. Factor 16x3 - 4x.

21. Solve 2x2 - x - 3 = 0.

22. Solve 9x2 - 6x - 5 = 0.

23. Solve 4x2 + 5x - 2 = 0.

24. Solve 64x3 = 125.

25. Solve 8x3 = x.

26. Solve x3 + 16 = x2 + 16x.

27. Find the vertex form of the equation

y = x2 + 4x - 5.

28. The expressions and 4 - 5i are rootsof the quartic polynomial g(x) with realcoefficients. What other expressions are rootsof g(x)?

29. Find all the complex roots of x5 + 5x4 - 4x - 20 = 0.

30. Expand (2x - 3)5.

1 1 "5

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