Download Name: Final Exam Review Pre-Algebra Fractions/Decimals/Percents

Name:_________________________________
Pre-Algebra
Final Exam Review
Fractions/Decimals/Percents
1. On President’s day, Al bought a new 46 inch TV for 20%
off its original price. If the original price of the TV was
$1250, how much did he get off?
1.______________________
2. The baseball team won 18 of its 24 games. What
percent of the games did they lose?
2.______________________
A.
B.
C.
D.
75%
25%
82%
18%
3. Given the figure below, which represents the
the unshaded region?
A.
C.
12
B. 40%
20
60
D. 60%
100
4. Order the following numbers from least to greatest?
0.81,
3.______________________
5
6
, 83%
4.______________________
5. What percent of 220 is 77?
5.______________________
6. 9 is what percent of 72?
6.______________________
7. 60% of what number is 324?
7.______________________
Proportions:
8.
9.
10.
7
5
10
𝑎
7
25
=
=
14
8.______________________
𝑏
4
9.______________________
5
=
98
𝑥
11. There are a total of 2100 Calories in 5 candy bars
(all the same kind). How many calories are there in
3 of these candy bars?
10._____________________
11._____________________
12. Cal went food shopping and bought 3 pounds of ham
for $15.75. How much did the ham cost per pound?
12._____________________
13. Which of the following rates can be written as $4.99
per pound?
13._____________________
A.
B.
C.
D.
$14.88 for 3 pounds
$29.94 for 6 pounds
$20.20 for 4 pounds
$10 for 2 pounds
14. A truck uses 8 gallons of gasoline to go 120 miles. How much
gasoline will the truck use to go 300 miles?
14._____________________
15. A statue that is 12 ft tall casts a shadow that is 15 ft long.
Find the length of the shadow that a 6 ft person casts.
15._____________________
16. ΔRST ~ ∆ LNE. Solve for x.
16._____________________
10 ft
8 ft
25 ft
20 ft
x ft
15 ft
17. A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.
Find the height of a lawn ornament that casts a 2 ft shadow.
17._____________________
Inequalities
For # 18 and 19, solve the inequality, then graph the solution.
18. – 3x > 36
19.
2a + 7 ≤ – 7
20. Which of the following are solutions of the inequality?
− 12 ≤ 𝑦
A. – 10
B. – 12.5
C. 0
D. – 11
21. An elevator can hold a maximum of 2,500 lbs. Which of
the inequalities below represents this situation?
A. y < 2,500
B. y > 2,500
C. y ≥ 2,500
D. y ≤ 2,500
20._____________________
21._____________________
Geometry and Measurement
25. A regular hexagon has a perimeter of 75 units. What is the
length of each side?
26._____________________
26. Two angles are supplementary. One angle measure is 37⁰,
27._____________________
what is the measure of the other?
27. Solve for x
28._____________________
2x + 18
136⁰
28. In the diagram below line L is parallel to line M. The measure of < 3 is 48⁰. Use this information to
determine the missing values.
m < 1 = ________
1
3
2
m < 5 = ________
4
m < 6 = ________
5
6
x = ________
7
2x
29. An angle measures 43⁰, what is its complement?
30._____________________
30. What is the sum of the interior angles of an octagon?
31._____________________
31. Identify the figure below.
32._____________________
32. Plot the following points: (1, 4), (-3, 4), (-3, -1). What are the
coordinates of the point that will create a trapezoid?
33._____________________
33. What is the area of the figure below? Use 3.14 for pi and
Round to the nearest tenth.
34._____________________
22 cm
34. A room that is 13 ft by 10 feet has a rug that measures 9 ft by 6 ft. What is the area of the floor that is
not covered by the rug? SHOW ALL WORK!!!
35._____________________
35. Find the area and the perimeter of the figure below.
36._____________________
14 ft
14 ft
7 ft
4 ft
36. Given the rectangle below, write an expression, in simplest form,
for its perimeter.
2x
x-4
37._____________________
37. What is the volume of the cylinder below? Use 3.14 for pi and
round to the nearest tenth.
38._____________________
5 yd
12 yd
38. A cone has the same base and height of the cylinder above.
What is its volume?
39._____________________
Equations
39.
6(r + 2) – 4 = – 10
40._____________________
40.
3(2x – 4x ) – 10 = 44
41._____________________
41.
42.
8(p – 4) = 4p + 2
2(b + 5) = 2b + 17 – 7
42._____________________
43._____________________
43. Create a table to find 3 solutions for the equation y = 2x – 2. Graph them on the coordinate plane
below.
Probability
44. There are 8 boys and 12 girls in the class. If one student is
selected at random for the chance to win an extra point on the
quiz, what is the probability that it will be a girl?
A.
2
3
C. 40%
45._____________________
B. 60%
D.
2
5
A bag contains 15 marbles: 9 green, 5 red, and 1 white. Two marbles are drawn at random with replacement.
Find each probability.
45. P ( white, not green )
46._____________________
46. P ( red or white, white )
47._____________________
47. P ( green, red )
48._____________________
A bag contains 15 marbles: 9 green, 5 red, and 1 white. Two marbles are drawn at random without
replacement. Find each probability.
48. P ( white, green )
49._____________________
49. P ( red, white )
50._____________________
50. P ( green, red )
51._____________________