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WorksheetsActmath Algebra
Total questions: 60
Worksheet time: 1hrs 28mins
Name
Class
Date
1.
When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?
a)
4
b)
14
c)
16
d)
20
2.
What is the value of x when 2x + 3 = 3x – 4 ?
a)
-7
b)
-1/5
c)
1/5
d)
7
3.
What is the greatest common factor of 42, 126, and 210 ?
a)
2
b)
6
c)
21
d)
42
4.
Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?
a)
16
b)
17.5
c)
20.5
d)
22
5.
The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
a)
l = 2w + 3
b)
l = w – 3
c)
l = 2w – 3
d)
l = w + 3
6.
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?
a)
158
b)
110
c)
70
d)
120
7.
How many irrational numbers are there between 1 and 6 ?
a)
1
b)
3
c)
4
d)
Infinitely Many
8.
If xy = 144, x + y = 30, and x > y, what is the value of x – y ?
a)
18
b)
22
c)
4
d)
24
9.
Choose the letter that represents the missing length in the figure
a)
12
b)
10
c)
7
d)
6
10.
Which of the following is the sine of A in the right triangle below?
a)
5/13
b)
5/12
c)
12/5
d)
12/13
11.
Which of the following is a factor of the polynomial 2x2 – 3x – 5 ?
a)
2x-5
b)
x-1
c)
2x-3
d)
3x+5
12.
What is the slope of any line parallel to the line 9x + 4y = 7 ?
a)
-9
b)
7
c)
(9/7)
d)
-(9/7)
13.
A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?
a)
$56.00
b)
$77.60
c)
$50.00
d)
$44.00
14.
What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?
a)
30°
b)
15°
c)
45°
d)
60°
15.
What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?
a)
(3/5)
b)
(3/8)
c)
(7/8)
d)
(5/8)
16.
A circle has a circumference of 16π feet. What is the radius of the circle, in feet?
a)
√8
b)
4
c)
8
d)
16
17.
A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?
a)
200
b)
15
c)
50
d)
3√15
18.
In the standard (x,y) coordinate plane, what are the coordinates of the midpoint of a line segment whose endpoints are (–3,0) and (7,4) ?
a)
(2,2)
b)
(2,4)
c)
(5,4)
d)
(5,5)
19.
What is the difference between 1.8 and 1.08 ?
(Note: A bar indicates a digit pattern that is repeated.)
(Note: A bar indicates a digit pattern that is repeated.)
a)
0.71919...
b)
0.7111...
c)
0.7222...
d)
0.717171...
20.
If n = 8 and 16· 2‴ = 4″⁻⁸, then m = ?
a)
-2
b)
-4
c)
0
d)
8
21.
What is the x-intercept of the graph of y = x² – 4x + 4 ?
a)
-2
b)
-1
c)
1
d)
2
22.
Ms. Hernandez began her math class by saying:
I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?What is the 5th number Ms. Hernandez is thinking of?
I'm thinking of 5 numbers such that their mean is equal to their median. If 4 of the numbers are 14, 8, 16, and 14, what is the 5th number?What is the 5th number Ms. Hernandez is thinking of?
a)
14
b)
15
c)
16
d)
18
23.
A cube with edges inch long is shown below. What is the length, in inches, of a diagonal that runs from one corner of the cube to the opposite corner?
a)
1/4
b)
3/4
c)
√3/2
d)
√2/2
24.
a)
20v+10
b)
20p+10v
c)
10(v+p)
d)
30(v+p)
25.
a)
$126
b)
$315
c)
$322.50
d)
$378
26.
a)
210
b)
231
c)
240
d)
245
27.
a)
1<x<2
b)
2<x<3
c)
3<x<4
d)
4<x
28.
a)
1<x<2
b)
2<x<3
c)
3<x<4
d)
4<x
29.
a)
60
b)
180
c)
2100
d)
210,000
30.
a)
2
b)
3
c)
4
d)
8
31.
a)
4
b)
12
c)
3
d)
72
32.
a)
-4a - 8b - 2c
b)
-4a - 4b + 8c
c)
-3a + 8b - 2c
d)
-3a - 4b + 8c
33.
a)
I and III only
b)
I, II, and III only
c)
I, III, and IV only
d)
II, III, and IV only
34.
a)
512
b)
384
c)
256
d)
192
35.
What type of number is 5/8?
a)
Rational
b)
Irrational
c)
both
d)
neither
36.
What is the area of a triangle whose base is 10 in and height is 5 in?
a)
50 in2
b)
30 in2
c)
15 in2
d)
25 in2
37.
Write the standard form. 8.98 x 105
a)
89800000
b)
8980000
c)
8.9800000
d)
898000
38.
What is the scientific notation of 6700000?
a)
6.7 x 105
b)
67 x 106
c)
6.7 x 106
d)
67 x 105
39.
|-5| + |2| =
a)
-7
b)
3
c)
-3
d)
7
40.
There are 45 boys and 54 girls in your school's senior class. What is the ratio of boys to girls?
a)
1:5
b)
1:6
c)
5:6
d)
5:11
41.
The corner convenience store sells candy bars at 4 for $2.91. At this price, how much would the store charge for 3 candy bars?
a)
$0.73
b)
$1.11
c)
$1.99
d)
$2.18
42.
Eliza bought a meal that cost $12. She tipped the waiter 25% of that amount. How much was the tip?
a)
$3.00
b)
$6.00
c)
$2.50
d)
$3.50
43.
Kelly needs to get a minimum of 75% on today's 60-point math test in order to pass the class. What is the least number of points that she must score to achieve this goal?
a)
15
b)
35
c)
40
d)
45
44.
What is 4% of 80?
a)
320
b)
32
c)
3.2
d)
0.032
45.
Kyle is looking to buy a shirt for his girlfriend's birthday that normally cost $85. Lucky for Kyle, the store selling the shirt is having a 30% off sale for all items. After the discount, Kyle must pay 6% sales tax on the shirt. How much does Kyle end up spending on this shirt for his girlfriend?
a)
$27.03
b)
$63.07
c)
$59.50
d)
$54.57
46.
Daphne always make sure to bring coupons to the store. While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price. After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.
a)
$3.78
b)
$3.63
c)
$$3.85
d)
$3.59
47.
Which of the following inequalities is equivalent to the inequality 4 (x+6) > 5(x-3)?
a)
x < -9
b)
x < 5
c)
x<9
d)
x <39
48.
If q = -1, r = 4, and s = 7, what does (q + r - s) (r - q) equal
a)
2
b)
17
c)
3
d)
18
49.
What is the value of the expression (2x + y)(2x - y) when x = 4 and 4 = -5?
a)
39
b)
9
c)
13
d)
-9
50.
What is the value of 50 - 3(x² -y²) + x when
x= 6, and y = -4?
x= 6, and y = -4?
a)
-145
b)
-6
c)
-4
d)
44
51.
Find the perimeter if x = 15 ft and y = 10 ft.
a)
50 ft
b)
25 ft
c)
60 ft
d)
150 ft
52.
Find the area if a = 13 in, b = 9 in and c = 16 in.
a)
38 in2
b)
117 in2
c)
468 in2
d)
58.5 in2
53.
What is the algebraic expression for "the sum of n and 9"?
a)
n - 9
b)
n + 9
c)
n/9
d)
9n
54.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
55.
What is the sum?
-7 + 5
-7 + 5
a)
-2
b)
12
c)
-12
d)
2
56.
Simplify
(1/3)(21m + 27)
(1/3)(21m + 27)
a)
63m + 9
b)
7m + 9
c)
7m + 81
d)
7m + 27
57.
Find the number of degrees in the third angle of the triangle
a)
155
b)
112
c)
74
d)
68
58.
Find the measure of ∠ACD.
a)
130
b)
115
c)
65
d)
50
59.
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
60.
Find the sum.
(5x2 -3x + 4) + (6x -3x2 - 3)
(5x2 -3x + 4) + (6x -3x2 - 3)
a)
3x2 + 2x + 1
b)
2x2 + 3x +1
c)
2x2 + 5x - 7
d)
3x2 + 4x5 -7x
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