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Worksheetssem 2 exam algebra 1
Total questions: 70
Worksheet time: 3hrs 13mins
Name
Class
Date
1.
Write equation of the line containing (-3,4) and (-1,-2)
a)
y = -3x - 5
b)
y = -3x + 1
c)
y = -3x + 13
d)
y = 3x + 1
2.
When given two points and asked to write an equation, what is your first step?
a)
Find the slope
b)
Find the y-intercept
c)
Find the x-intercept
d)
Write the equation
3.
Hector and Jeremy want to make some CD’s for their band, Goat Cheese Pizza. Jeremy figures it would cost $330 to produce 1200 CDs. Hector figures it would cost $55 to produce 100 CDs.
If they are both right, which linear equation correctly describes the relationship between the number of CDs sold and the price?
If they are both right, which linear equation correctly describes the relationship between the number of CDs sold and the price?
a)
y = (1/4)x + 30
b)
y = 4x + 120
c)
y = 330x + 1200
d)
y= 1200x+330
4.
Write the equation of the line.
a)
y=-3x-4
b)
y=-4x-3
c)
y=(-3/4)x-3
d)
y=(-4/3)x+3
5.
Write the slope-intercept form of the equation with the given point and slope.
Through (-1,4) and m = -3
Through (-1,4) and m = -3
a)
y = x - 3
b)
y = -3x + 1
c)
y = x + 2
d)
y=-3x + 4
6.
Write in slope intercept form
5x - 3y = -9
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
7.
Solve the following system by graphing. What is the solution?
a)
(-2, -4)
b)
(2, -4)
c)
(-2, 4)
d)
(2, 4)
8.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
9.
2 + n ≤ 4½
a)
n ≥ 2½
b)
n ≤ 2½
c)
n ≤ 6½
d)
n ≥ 6½
10.
6 - 2h > 30
a)
h < 24
b)
18 > h
c)
h > 12
d)
h < -12
11.
A line is perpendicular to
y = 2x - 7.
What is the slope of this line?
y = 2x - 7.
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
12.
Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)
y = 1/3x - 4 through (-3, 2)
a)
y = 2/3x +3
b)
y = -1/3x + 3
c)
y = 1/3x + 3
d)
y = -5/3x + 3
13.
What is the equation of this line?
a)
x=5
b)
y=5
c)
y=5x
d)
x=-5
14.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
15.
Solve the equation for x.
a)
7
b)
6
c)
14
d)
0
16.
Divide
a)
x+1
b)
(x-1)/x
c)
x-1
d)
x
17.
Solve
a)
x = 0 , 4
b)
x = 1 , 3
c)
x = -4 , 0
d)
x = 5 , 2
18.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
19.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
20.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
21.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
22.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
23.
Simplify:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
24.
Simplify:
a)
2x√14x
b)
4x√14x
c)
2x√14x3
d)
4x√14x3
25.
Simplify the expression:
a)
-15 + 8√9
b)
9
c)
2 + 8√3 + 6√6
d)
9 + 14√3
26.
Simplify:
a)
2√3√14
b)
4√42
c)
2√42
d)
4√3√14
27.
Simplify:
a)
240
b)
300
c)
340
d)
360
28.
√98 + 5√2
a)
8√3
b)
12√2
c)
7√2
d)
7√3
29.
Simplify 2√5(3√3+6√2)
a)
6√15+12√10
b)
15√6+30√10
c)
90
d)
6√10+12√6
30.
Simplify:
a)
A
b)
B
c)
C
d)
D
31.
Simplify:
a)
A
b)
B
c)
C
d)
D
32.
Factor
a2 - a - 12
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
33.
Factor:
x2 + 0x - 144
x2 + 0x - 144
a)
(x + 12)2
b)
(x - 12)(x + 12)
c)
(x - 12)2
d)
122
34.
Factor:
p2 - 14p
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
35.
Factor:
x2 + 4xy + 4y2
x2 + 4xy + 4y2
a)
(x + y)(4x + 4y)
b)
(x + 2y)(x + 2y)
c)
(2x + y)(2x + y)
d)
(x + 2)(x + 2)
36.
Factor:
x2 - 49
x2 - 49
a)
(x + 7)(x - 7)
b)
(x + 7)2
c)
(x - 7)2
d)
(x+7)(x-1)
37.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
38.
Factor:
2m² + 3m - 9
2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
39.
Factor Completely: 3n² - 15n + 18
a)
(n - 2)(n - 3)
b)
3(n + 2)(n + 3)
c)
(3n - 9)(n - 2)
d)
3(n - 3)(n - 2)
40.
Factor Completely: 15t² - 27t - 6
a)
3(5t +1)(t - 2)
b)
(3t - 6)(5t + 1)
c)
3(5t - 1)(t + 2)
d)
(15t + 6)(1t - 6)
41.
Factor Completely: 6x² + 5x - 6
a)
6(x + 1)(x - 6)
b)
(6x + 6)(x - 1)
c)
(2x - 3)(3x + 2)
d)
(3x - 2)(2x + 3)
42.
Factor: m² - 441
a)
(m - 21)²
b)
(m + 21)(m - 21)
c)
(m + 21)²
d)
correct answer not given
43.
Factor Completely: 5v2 - 30v + 40
a)
(5v - 8)(v + 5)
b)
(5v + 5)(v - 8)
c)
5(v - 4)(v - 2)
d)
5(v + 8)(v - 5)
44.
Factor:
2m² + 3m - 9
2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
45.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
46.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
47.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
48.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
49.
Simplify.
2x-5y7⋅3x-4y-2
2x-5y7⋅3x-4y-2
a)
6x9y9
b)
6y5/x9
c)
6/x9y5
d)
6/x9y9
50.
Simplify.
s-5 ⋅ s-2
s-5 ⋅ s-2
a)
s-3
b)
1/s7
c)
s-7
d)
1/s3
51.
a)
xy+2xy-3xy
b)
3x+2-3xy
c)
x+2-3xy
d)
x+2+3xy
52.
What is the quotient when (10n2 - 37n - 12) is divided by (n - 4)?
a)
(10n - 3)
b)
(3n - 10)
c)
(10n + 3)
d)
(3n + 10)
53.
Divide:
(9x2 + 6x) ÷ 3x
(9x2 + 6x) ÷ 3x
a)
3x + 2
b)
3x2 + 2x
c)
5x2
d)
3x + 6
54.
a)
x - 7
b)
x2 - 7
c)
x + 7
d)
x2 + 3x - 54
55.
12(2k + 11) = 12(2k + 12)
a)
144
b)
-12
c)
no solution
d)
all real numbers
56.
A coin is tossed and then the spinner is spun. Determine the probability that you get Heads and Red.
a)
1/6
b)
1/10
c)
0
d)
1/12
57.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a blue, eating it then selecting yellow?
a)
5/18
b)
1/9
c)
1/20
d)
1/19
58.
P(2 then 5) =
a)
1/6
b)
1/12
c)
1/36
59.
What is the next term in the sequence 1, 4, 9, 16, 25, ...?
a)
34
b)
36
c)
39
d)
41
60.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
61.
Which ordered pair could represent the y-intercept of a function.
a)
(0, 4)
b)
(4, 4)
c)
(4, 0)
d)
None of these.
62.
What is the x and y intercept for the following equation ?
4x - 10y = 20
4x - 10y = 20
a)
x - int = 4
y-int = -10
y-int = -10
b)
x-int = 5
y-int = 2
y-int = 2
c)
x - int = 5
y int = -2
y int = -2
d)
x -int = 4
y -int = -10
y -int = -10
63.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a)
x + y = 1550
y = 4x
y = 4x
b)
x + y = 1550
y = x + 4
y = x + 4
c)
y - x = 1550
y = 4x
y = 4x
d)
y = 1550 + x
y = x + 4
y = x + 4
64.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$841
c)
$58.43
65.
Regular price: $174. Discount: 40%. Find the sale price. Round to nearest cent if necessary.
a)
$104.40
b)
$140.40
c)
104.4
d)
69.6
66.
Find the Percent of Change. Round to nearest Percent.
Microwave: Originally $96 then price increases to $115.20
Microwave: Originally $96 then price increases to $115.20
a)
20% Increase
b)
17% Increase
c)
20% Decrease
d)
17% Decrease
67.
You borrowed $28 from your parents to buy a new video game, and they set a interest rate of 15% per month. How much interest do you owe in one month?
a)
$5.60
b)
$4.20
c)
$2.80
d)
$3.75
68.
What is csc(x) equivalent to?
a)
1/sin(x)
b)
1/tan(x)
c)
sin(x)
d)
1/cos(x)
69.
What is tan 45⁰?
a)
1
b)
2
c)
0.5
d)
0.75
70.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
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