Algebra Final Exam
1.
Simplify: (2x2y3)3
A. 8x6y9
B. 6x5y6
C. 8xy3
D. 8x5y6
2. Solve:
20 - 7x = -4 + 5x
A. x = -5 B. x = -6 C. y = 6 D. x = 2
3.
Solve: - 12 < 2x 6 < 4
A. 3 > x >5 B. 3 < x < 5 C. -3 < x < 5 D. 3x >5
4.
Use the distance formula (d = rt) to solve: A car traveled for 2
hours at a constant speed of 72 Kilometers per hour. How far did the car travel?
A. 36 kilometers. B. 140 kilometers. C. 144 kilometers. D. 4 kilometers.
5.
Solve: 3(x 2) = 18
A. x = - 4 B. x = 8 C. x = 9 D. x = 4
6.
Sketch the lines on the coordinate plain and then use the lines to find
the point where they intersect.
A. (4, 6) B. (-6, -4) C. (-4, -6) D. (6, 4)
7.
Solve: x + 3 < 2(x 4)
A. -11 > x B. 11 > x C. 11 < x D. 11 < y
8.
Rewrite in scientific notation: 1,637,000,000
A. 1.637 * 109 B.16.37 * 109 C. .1637 * 1010 D.1637 * 106
9.
Solve for r: A = P + Prt
A. r=(A-P)/(Pt) B. r = A-P C. t = APxy D. r = APt
10.
A jar contains 12 blue, 8
green, and 5 yellow marbles.
Without looking at the colors, you choose one marble. What is the
probability that you choose a blue marble?
A. 5/25 B. 5/4 C. 12/13 D. 12/25
11.
Solve the system using linear combination. 2u + v = 120 and u + 2v
= 120
A. (-40,40) B. (5,4) C. (60,25) D. (40,40)
12.
Approximate the height of an equilateral triangle with 2- inch sides.
A. 1.5 B. 3 C. 1.73 D. 2.58
13.
In a scatterplot, the if the y values increases as the x values increase,
this suggests which correlation?
A. Positive B. Negative C. No correlation. D. Down
14. 2x2 - 23 = 51, x = ?
15.
Walking 250 ft. per minute, it takes you 10 min. to get from your home to
school. Your uncles home is closer to the school than yours. Write an
inequality for the distance your uncle lives from school.
A. x < 2500 ft. B. x > 2500 ft. C. x < 25 ft. D. x > 25 ft.
16.
Find the median: 1,12,15,3,11,8,12,19,4,9,10,13,7
A. 12 B. 9.538 C. 19 D. 10
17.
Which are solutions to 3x y = 2?
F. (3, 1)
G. (1, 2)
H. (-1, -5)
I. (0, -2)
A. H and I B. none C. F, G, and H D. all
18.
Which, if any, of the ordered pairs are solutions of the inequality?
5x + 4y > 6;
(-2, 4) (5,5)
A. none B. both C. (-2, 4) D. (5, 5)
19.
Find the slope of the two points and tell whether the line rises from
left to right, falls from left to right, is horizontal, of vertical.
A. 3, rises B. -3, falls C. 1/3, horizontal D. 1/3, vertical
20.
Write the slope-intercept equation of the point using the given slope.
(4, 3) m = 2
A. m = 2 b = -5 B. y = 2*4 5 C. y = 2x 5 D. y = 2x + 5
21. Plot the points on the coordinate plane. (2, 0) (0, 0) (1, -1) (-2, 0) (-3, 3) (-4, 4) (3, 4) (-1, -2) (-1, 2)
A.B.C.D.
22.
Write the slope intercept form of the equation passing through the two
points.
A. - 2 x + 1
B. y = 2x - 1 C. y
= -½ x 1
D. y = ½ x - 1
23. Sketch the graph of the linear system. x + y < 1, -x + y < 1 and y > 1
A. B. C. D.
24.
A. 4x3 x2 x 1 B. 2x3 7x2 x 1 C. 2x-x-1 D. 3x6 12x4 x 12
25.
Use FOIL (x 3) (3x + 1)
A. 3x2 - 8x - 3 B. 3x2 3 C. 3x + 3x2 D. 3x2 + 8x + 3
26.
Multiply. Put the answer in standard form. 3x2(5x x3
+ 2)
A. 3x + 5x x5 + 2 B. 5x2 x2 + 22
C. 3x5 + 15x3 + 6x2
D. x10
27.
Multiply (5x 6) (5x + 6)
A. 10x 12 B. 25x2 + 36 C. 25x 36 D. 25x2 36
28. Factor out
the greatest common monomial factor. 2x2 + 4x3
A. 2x2(1 + 2x) B. x C. 2x2 D. 4x3
29.
The graph of y = x2
would look like
A. A linear equation with a positive slope of 1.
B. A linear equation with a negative slope of 1.
C. An inverted parabola with a maximum of (0,0).
D. A parabola with a minimum of (0,0).
30.
Factor the perfect square trinomial. n2 + 24n + 144
A. prime
B. n, 24,144
C. (n + 12)
D. (n + 12)2
Algebra Final Exam Answers
1. A
2. D
3. C
4. C
5. B
6. D
7. C
8. A
9. A
10. D
11. D
12. C
13. B
14. C
15. A
16. D
17. A
18. B
19. A
20. C
21. D
22. D
23. A
24. B
25. A
26. C
27. D
28. A
29. D
30. D
For the explanations please email me and I will send them as an attachment.