Download Algebra I Final Exam – 1st Semester

Algebra I Final Exam – 2nd Semester
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
1. Which of the following sets is not closed with respect to multiplication?
a.
c.
b.
d.
50 people were asked if they liked Pop, Rock, or Country music. Everyone answered that
they liked at least one.
Pop
Rock
38 like Rock
29 like Country
18 like Pop
21 like Rock and Country
12 like Country and Pop
9 like Pop and Rock
7 like all three types of music
2. How many people liked Country and Rock, but not Pop?
a. 3
c. 18
b. 14
d. 21
Country
3. Write the set of numbers in order from least to greatest.
15 , 7.9, 7.9
a.
c.
7.9 , 15 , 7.9
15 , 7.9 , 7.9
b.
7.9 , 7.9,
15
d. 7.9,
15 ,
7.9
4. Name what property is displayed in the following statement:
a. Commutative Property of Addition
c. Distributive Property
b. Additive Identity Property
d. Associative Property of Addition
5. Five positive numbers and seven negative numbers are multiplied. What is the sign of their
final product?
a. Positive
b. Negative
6. Simplify the expression:
a. -31
b. -19
c. -7
d. 19
7. Simplify the expression:
a.
b.
c.
d.
8. A number is multiplied by 5, and then the product is added to 23. The result is 53. What is
the number?
a. 6
c. 5
b. 4
d. 150
9. What is the additive inverse of the multiplicative inverse of 15?
a.
c. 15
b.
10. Distribute and simplify:
a.
b.
d. -15
c.
d.
Solve the equation. Then check your solution.
11. Solve for p:
a.
c.
b.
12. Solve for x:
a.
b.
13. Solve for k:
a. -6
b. 0
d.
c.
d.
c. 6
d. 8
The formula for the perimeter, P, of a rectangle is P = 2 + 2w, where is the length and w is
the width.
14. Solve the formula for the perimeter of a rectangle for w.
a.
c.
b.
d.
15. Solve for v:
a.
c.
b.
d.
Solve the proportion. If necessary, round to the nearest hundredth.
16. Pedro can make $55 in three days mowing lawns. At that rate, how many days will it take
him to make $220?
a. 12 days
c. 13.2 days
b. 4 days
d. 10.9 days
17. Sally is writing a novel on her weekends after work. She recorded the number of pages she
wrote on each evening in the table below.
Day
Hours Worked
# of Pages Written
Friday
4
7
Saturday
8
10
Sunday
5
6
Which day was the most productive per hour?
a. Friday
c. Sunday
b. Saturday
18. Which number correctly completes this equation? 12 square feet = ____ square inches
a. 144
c. 1,728
b. 288
d. 6,912
19. Johnny has earned the following grades: 84, 89, 91, 91, 91, and 100. What should he earn
on his next grade to earn an average of exactly 92?
a. 96
c. 98
b. 97
d. 99
20. Given
and
a. (-7, 12)
b. (5.5, -0.5)
, find the midpoint of segment JK.
c. (3, 7)
d. (-14, 8)
21. Determine which of the following graphs represents a function.
a.
c.
b.
22. If
a.
b.
d.
, find
.
23. When are two lines parallel?
A. when the slopes are opposite
C. when the product of the slopes is 1
c.
d.
B. when the slopes are equal
D. when the slopes are positive
24. Find the value of r so that the line through (8, r ) and (4,5) has a slope of -4.
A. 11
B. -11
C. 4
D. -4
25. What is the equation of the line through (4,3) with a slope of zero?
A. x  4
B. y  3
C.  4x  3 y  0
D. 3x  (4 y)  0
26. If you were given any point in Quadrant I and any point in Quadrant III, which of the
following numbers could potentially represent the slope between the points?
2
2
A. 
B. 0
C.
D. undefined
3
3
Anthony’s math scores for the quarter are 90, 91, 72, 91, 92, 92, 92, 89, 90, and 91.
27.
If Anthony retook his lowest grade and the 72 were changed to a 95, how much would this
bring up his average?
a. 89 points
c. 6 points
b. 91 points
d. 2 points
28.
Find the interquartile range of the data.
9, 51, 54, 56, 61, 71, 71, 83, 83, 88, 88, 93, 95
a. 86
c. 16
b. 17
d. 33
29. A letter in the English alphabet is selected at random. What is the probability that the
letter selected is a letter found in the word “ADDITION”?
1
4
3
8
A.
B.
C.
D.
26
13
13
26
30.

a. (36, 33)
b. (–9, –6)
31.
a. 2
b. 3


c. (12, 15)
d. (33, 36)
If t  k  5 and k  t  11 , then k  ?
c. 8
d. 11
32.
a.
b.
c.
d.
33.
a.
c.
b.
d.

Evaluate. Express the result in scientific notation.
34.
a.
b.
35. 3c  2a 1  4c  2a  1  ?
a. 2a  4c  12
b. 4a  3c  2
c.
d.
c.
d.
a  c 1
7c
Find the product.
36.
a.
b.
c.
d.
a.
b.
c.
d.
37.
38. State the excluded values for the rational expression.
a. 3
b. 5, 5
c. –3, 3
d. 5
Find the product and simplify.
39.
40.
41.
42.
a.
c.
b.
d.
Factor the polynomial.
a.
c.
b.
d.
x 2  11x  18
a. ( x  2)( x  9)
b. ( x  2)( x  9)
c.
d.
( x  2)( x  9)
( x  2)( x  9)
A Chick-fil-A© cow is launched through the air, following the path of the equation
. How long would it take the cow to land on a 20-ft. pile of mattresses waiting to
cushion his fall?
a. 0 seconds
c. 10 seconds
b.
d. 12 seconds
seconds
43. The __________ is a line that passes through the highest/lowest point of a parabola.
A. Vertex
B. Axis of Symmetry
44. The Quadratic Formula, x 
A. Axis of Symmetry
C. y-axis
D. Roots
 b  b 2  4ac
, is used to find what part of a parabola?
2a
B. Vertex
C. Max/Min
D. Roots
John throws a baseball up into the air to Paul, who is sitting by the fourth-story window with his hands 51
feet above the ground. The height of the baseball, h, (in feet) after t seconds is represented by the equation
h  16t 2  16t  5 .
45. How long does it take the baseball to reach its highest point?
1
A.
seconds
B. 2 seconds
C. 4 seconds
2
46. Simplify 3 6  5 2
A 24 2
B 30 3
C 45 2
D. 8 seconds
D 15 12
47. A right triangle has one leg that is 8 inches. The hypotenuse is 17 inches. How many
inches long is the other leg?
A 15
B 353
C 9
D 2 34
48. Quadrilateral WXYZ has a perimeter of 110 inches. Find the length of XY if
XY  5w  3 , YZ  2w , ZW  4w  1 , and WX  2 .
a. XY = 10 inches
b. XY = 3/5 inches
c. XY = 8 inches
d. XY = 47 inches
49. Solve for x.
a. 52.977
b. 0.008
c. 28.168
d. 112.844
50. Solve for x.
a. 22.574
b. 1.93
c. 2.018
d. 21.588