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WorksheetsMath 2 Review2
Total questions: 65
Worksheet time: 2hrs 11mins
Name
Class
Date
1.
Solve 2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
2.
Solve by factoring (Big X) and setting equal to zero.
a)
A
b)
B
c)
C
d)
D
3.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
4.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
5.
Find the measure of the indicated angle.
a)
89
b)
211
c)
119
d)
81
6.
Simplify √28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
7.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
8.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
9.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
10.
Identify the transformation from A to C.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
11.
In the figure below, ∠ABC≅∠DFE, ∠BAC≅∠FDE, D and F are on AB, AD≅FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?
a)
3
b)
2
c)
4
d)
1
12.
A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?
a)
3
b)
21
c)
15
d)
225
13.
What is the slope of any line parallel to the line 9x + 4y = 7 ?
a)
-9
b)
7
c)
(9/7)
d)
-(9/7)
14.
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
15.
A cliff diver on a Caribbean island jumps from a height of 105 feet, with an initial upward velocity of 5 feet per second. An equation that models the height, h(t), above the water, in feet, of the diver in time elapsed, t, in seconds is h(t) = -16t2+ 5t + 105. How many seconds, to the nearest hundredth, does it take the diver to fall 45 feet below his starting point?
a)
1.45
b)
1.84
c)
2.10
d)
2.72
16.
The graph of y = (x - 3)2 is shifted left 4 units and down 2 units. What is the axis of symmetry of the transformed graph?
a)
x = -2
b)
x = -1
c)
x = 1
d)
x = 7
17.
What is the range of f(x) = (x + 4)2 + 7?
a)
y > -4
b)
y≥ 4
c)
y = 7
d)
y≥ 7
18.
If d varies inversely as t, and d = 20 when t = 2, what is the value of t when d = -5?
a)
8
b)
2
c)
-8
d)
-2
19.
Dwayne purchased a computer from Techtronics, Inc. for $2600 in 2007. The rate of depreciation is 7%. Which would be the best estimate for the value of the computer in 2010?
a)
$1945
b)
$2091
c)
$2577
d)
$2593
20.
The growth of bacteria in a dish is modeled by the function f(t) = 2t/3. For which value of t is f(t) = 32?
a)
8
b)
2
c)
15
d)
16
21.
a)
{x | x > -4}; {y | y > 2}
b)
{x | x ≥ -4}; {y | y ≥ 2}
c)
{x | x > 2}; {y | y > -4}
d)
{x | x ≥ 2}; {y | y ≥ -4}
22.
If f(x) = x2 - 3, then f(a - b) is equivalent to
a)
a2- b2 - 3
b)
a2- 2ab - b2 - 3
c)
a2- 2ab + b2 - 3
d)
a2 + b2 - 3
23.
Describe the shifts in direction of the vertex when the equation y = |x| changes to the equation
y = |x + 2| + 1.
y = |x + 2| + 1.
a)
right 2 units and up 1 unit
b)
left 2 and up 1 unit
c)
right 1 units and up 2 units
d)
left 1 unit and down 2 units
24.
a)
6
b)
16
c)
24
d)
28
25.
What are the coordinates of A', the image of point A(-3, 4), after a 180⁰ rotation about the origin?
a)
(4, -3)
b)
(-4, -3)
c)
(3, 4)
d)
(3, -4)
26.
The point (3, -2) is rotated 90⁰ about the origin and then dilated by a scale factor of 4. What are the coordinates of the resulting image?
a)
(-12, 8)
b)
(12, -8)
c)
(8, 12)
d)
(-8, -12)
27.
a)
SSS
b)
SAS
c)
ASA
d)
HL
28.
Which of the following equations represents the function f(x) obtained by shifting the function
g(x) = x2 four units to the right, then down one unit, and finally reflected over the x-axis?
g(x) = x2 four units to the right, then down one unit, and finally reflected over the x-axis?
a)
f(x) = -(x - 4)2 - 1
b)
f(x) = -(x - 4)2 + 1
c)
f(x) = -(x + 4)2 + 1
d)
f(x) = -(x + 4)2 - 1
29.
In ∆ABC, if a = 8, b = 5 , and c = 9, then cos A is
a)
7 /15
b)
- 7 /15
c)
¼
d)
-¼
30.
The straight string of a kite makes an angle of elevation from the ground of 60°. The length of the string is 400 ft. What is the best approximation of the height of the kite?
a)
200 ft
b)
250 ft
c)
300 ft
d)
350 ft
31.
a)
A
b)
B
c)
C
d)
D
32.
Which of the following represents direct variation?
a)
y = kx
b)
y = k/x
c)
y = x/k
d)
y = mx + b
33.
Y varies inversely with x, and y is 0.5 when x is 4. Which equation represents this situation?
a)
y=2x
b)
y=2/x
c)
y=4x
d)
y=x/2
34.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
35.
Is the given table a direct or inverse variation? What is the constant of variation?
a)
Direct, 12
b)
Inverse, 12
c)
Direct, 1/12
d)
Inverse, 1/12
36.
The time, y, to finish loading the boxes varies inversely as the number of people, x, working. If 10 people work, the job is completed in 16 hours. What is the constant of variation?
a)
16
b)
160
c)
10
d)
1.6
37.
Which variation is represented in the graph?
a)
Direct
b)
Inverse
c)
Neither
38.
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
a)
8 painters
b)
10 painters
c)
9 painters
d)
11 painters
39.
Which variation does the relationship in the table represent?
a)
Direct
b)
Inverse
c)
Neither
40.
y = kx is formula for this type of variation.
a)
inverse variation
b)
joint variation
c)
direct variation
d)
joint with and inverse
41.
xy = k is this type of variation.
a)
direct variation
b)
Inverse variation
c)
joint variation
d)
joint and direct Variation
42.
y/x is this type of variation.
a)
direct variation
b)
inverse variation
c)
joint variation
d)
direct and inverse variation
43.
What kind of equation is this?
xy=8
xy=8
a)
Linear Equation
b)
Direct Variation
c)
Inverse Variation
d)
Joint Variation
44.
The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?
a)
8 painters
b)
10 painters
c)
9 painters
d)
11 painters
45.
Name the parent function.
a)
cube root
b)
square root
c)
quadratic
d)
linear
46.
Name the parent function.
a)
quadratic
b)
cubic
c)
square root
d)
logarithmic
47.
Name the parent function.
a)
cube root
b)
quadratic
c)
cubic
d)
square root
48.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
49.
Name the parent function.
a)
square root
b)
quadratic
c)
cubic
d)
exponential
50.
In a direct variation, y=39 when x=3. Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
51.
The time required to complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians to have done the job?
a)
1 hr 43 min
b)
5 hr 15 min
c)
7 hr 30 min
d)
9 hr 20 min
52.
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?
a)
5.33 hours
b)
6.75 hours
c)
12 hours
d)
10 hours
53.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
54.
Find missing side
a)
5
b)
7
c)
9
d)
11
55.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
56.
Which of these is an equavelent, simplified expression?
(81a3b4c12)1/3
(81a3b4c12)1/3
a)
811/3ab4/3c4
b)
27ab4/3c4
c)
4.3ab4/3c4
d)
34/3ab4/3c4
57.
Which of these is an equivalent expression for (x - 3)3?
a)
x3 - 9
b)
x3 - 27
c)
x3 - 9x2 + 27x - 27
d)
x3 - 9x2 - 27x - 27
58.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
59.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
60.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
61.
Simplify:
-4 √(216x2y2z)
-4 √(216x2y2z)
a)
-432 x2y2 √(6z)
b)
-24xy √(6z)
c)
2x2y2 √(6z)
62.
According to exponent rules, when we raise the coefficients to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
63.
Factor
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
64.
Solve
6h2 + 17h + 10 = 0
6h2 + 17h + 10 = 0
a)
h= -5, -12
b)
h= 5, 12
c)
h = -2, -5/6
d)
h = -2/5, -6
65.
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)
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