Algebra 2: 9-Week Common Assessment

Review

1. Which of the following number lines shows the

graphs of and ?

a.

b.

c.

d.

2. Use a real number line to order the numbers:

Simplify the expression.

3.

a. b. c. d.

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

5.

6. The drama club is printing a storybook to raise

money. The print shop charges $3 for each book, and

$75 to create the film. How many books can the club

print if their budget is $630?

7. The literature club is printing a storybook to raise

money. The print shop charges $5 for each book, and

$40 to create the film. How many books can the club

print if their budget is $1090?

a. 197

b. 218

c. 231

d. 210

8. Solve for F: C =

9. Solve for t in the formula

a. b. c.

d.

10. Solve for c in the equation:

a.

b.

c.

d.

Solve:

11.

a. b 17

b. b =

c. b

d. b –17

12. Solve the inequality. Then graph your solution.

13. On a road in the city of Hinkley, the maximum

speed is 65 miles per hour and the minimum

speed is 25 miles per hour. If x represents speed,

which sentence best expresses this condition?

a. b. c. d.

Solve:

14.

a. 13, –5

b. 5, –13

c. –5

d. –13

15. Solve the inequality. Then graph your solution.

Solve the inequality.

16.

17. Find the domain and range of the relation

18. Determine whether the relation is a function.

(0, 4), (1, 4), (2, 5), (3, 6), (4, 6)

19. Determine whether the relation is a function.

(4, 0), (4, 1), (5, 2), (6, 3), (6, 4)

20. In 1983 the pollution in a local lake was rated at 1.4

parts per million. By 1989 it had risen to 4.4 parts per

million. Which of the following expresses the rate of

change in parts per million from 1983 to 1989?

a. b.

c.

d.

21. Find the x- and y-intercepts of .

a. x-intercept: ; y-intercept: 2

b. x-intercept: –3; y-intercept: 2

c. x-intercept: 2; y-intercept:

d. x-intercept: 2; y-intercept: –3

22. Graph the linear equation by finding x- and

y-intercepts.

Graph:

23.

24. Write the equation of the line, in slope-intercept

form, that passes through the point and

has slope .

25. Write the equation of the line, in slope-intercept

form, that passes through the point and

has slope 5.

a.

b.

c.

d.

26. In 1980 the average price of a home in Brainerd

County was $97,000. By 1986 the average price

of a home was $109,000. Which of the following

is a linear model for the price of a home, P, in

Brainerd County in terms of the year, t? Let t = 0

correspond to 1980.

a.

b.

c.

d.

27. In 1979 the Wincom river was 45 feet below the

bridge. Because of silt build-up in the river bottom,

the river was only feet below the bridge by 1987.

Write an equation for the distance of the river from

the bridge, d, with t = 0 representing 1979. If nothing

is done about the silt, what year will the river reach

the bridge?

28. Write the standard form of the equation of the line

that has slope –3 and passes through the point (–2,

–5).

a.

b.

c.

d.

29. Write the standard form of the equation of the line

that passes through the point ( , ) and is parallel

to the line .

a.

b.

c.

d.

30. Evaluate f(2) and for the given peicewise function.

31. Evaluate f(4) and for the given peicewise function.

32. Describe the correlation shown by the scatter plot.

33. For the scatter plot shown, state whether x and y

have a positive correlation, a negative correlation,

or no correlation.

34. For the scatter plot shown, state whether x and y

have a positive correlation, a negative correlation,

or no correlation.

35. Which equation represents the scatter plot?

a.

b.

c.

d.

36. Graph the function defined by .

37. Graph the equation.

Sketch the graph of the function.

38.

Graph:

39.

Solve the linear system.

40.

41.

a. (1, 5)

b. (–6, 6)

c. no solution

d. (–1, 5)

42.

Graph the system of inequalities.

43.

44. x 1

y –1

45.

46. Which ordered triple is a solution of the system of

equations?

a.

b.

c.

d.

Solve the system of equations.

47. 6x – 5y – 5z = 18

3x – 2y – 3z = 8

x – y + z = 0

48. At a birthday party, only four children want a

slice of the square yard of avocado cake. If

each child receives an equal amount of cake,

what will be the dimensions of each child’s

piece of cake?

49. If at the birthday party above, their is another

1 yard square cake of which 25 children

would like a piece, what would be the

dimensions of each child’s peice of cake?

50. One of your friends wants to mix an energy

drink in a canteen that holds 6 cups. If the

package directions say to add 6 tablespoons

of mix to one quart of water, how many

tablespoons should be added to the full

canteen of water