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WorksheetsReview
Total questions: 78
Worksheet time: 5hrs 20mins
Name
Class
Date
1.
The set of rational numbers includes all the following except...
a)
-42
b)
5/0
c)
0
d)
14.7
2.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational
c)
Irrational, Integer
d)
Irrational
3.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
4.
Write 5/9 as a decimal.
a)
0.59
b)
0.95
c)
0.555...
d)
1.8
5.
Write an equation for this phrase, "The square root of x is equal to 3."
a)
x2 = 3
b)
x2 = 9
c)
√x = 3
d)
√x = 9
6.
Solve for p when p2 = 100.
a)
1,000
b)
10
c)
0.10
d)
-0.10
7.
Solve for x when x3 = 125
a)
5
b)
10
c)
12
d)
15
8.
A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?
a)
32 units
b)
16 units
c)
8 units
d)
4 units
9.
Estimate the square root.
a)
3
b)
4
c)
5
d)
6
10.
Estimate the square root.
a)
9
b)
10
c)
11
d)
12
11.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
12.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
13.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
14.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
15.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
16.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
17.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
18.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
19.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
20.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
21.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
22.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
23.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
24.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
25.
Express the following in scientific notation:
.000457
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
26.
UNDERSTANDING
If the exponent is a positive number...
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
27.
UNDERSTANDING
If the exponent is a negative number...
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
28.
The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.
a)
hydrogen, carbon, oxygen, silver, gold
b)
hydrogen, oxygen, gold, siver, carbon
c)
carbon, oxygen, silver, gold, hydrogen
d)
gold, oxygen, carbon, silver, hydrogen
29.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
30.
Solve:
(6 x 106) / (2 x 103)
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
31.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
32.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
33.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
34.
Solve for x.
a)
55
b)
60
c)
15
d)
35
35.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
36.
12(2k + 11) = 12(2k + 12)
a)
144
b)
-12
c)
no solution
d)
all real numbers
37.
Solve:
7x-3<18
7x-3<18
a)
x<3
b)
x>3
c)
x<15/7
d)
x>15/7
38.
Solve:
4-9x≤40
4-9x≤40
a)
x≥4
b)
x≤4
c)
x≥-4
d)
x≤-4
39.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
40.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
41.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
42.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution
d)
(6, -2)
43.
Solve by graphing.
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
44.
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?
a)
y = 6.80 + .65x
y=7.30+.90x
y=7.30+.90x
b)
x + y = 6.80
x + y = 7.30
x + y = 7.30
c)
y = 6.80+.90x
y = 7.30 + .65x
y = 7.30 + .65x
d)
y + .90x = 6.80
y + .65x = 7.30
y + .65x = 7.30
45.
How many solutions does the system of equations below have?
y = -x + 6
y = -x + 8
a)
One Solution
b)
No Solution
c)
Many Solutions
46.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
47.
Which company should you use if you rent the raft for 9 hours?
a)
Water's Edge Rafts
b)
Ryan's Rafts
48.
What is the intial value of the following graph?
a)
(3, 0)
b)
(0, 3)
c)
(4, 0)
d)
(0, 4)
49.
find the rate of change
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
50.
Write an equation in slope-intercept form.
a)
y = 50x
b)
y = 20x
c)
y = 0.02x
d)
y = 0.2x
51.
Write an equation in slope-intercept form.
a)
y = 0.4x
b)
y = 025x
c)
y = 4x
d)
y = 0.04x
52.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
53.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
54.
Slope = 4 Point (-2, 1)
a)
y = 4x +9
b)
y=4x-7
c)
y=4x+7
d)
y=4x-9
55.
Goes through (-3, -4) and (3, 4)
a)
y = 3/4x + 4
b)
y = 3/4x + 0
c)
y = 4/3x + 0
d)
y = 4/3x + 4
56.
Determine the slope and y-intercept from the following equation: y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
57.
Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.
a)
y = 3/10x + 40
b)
y = 2.5x + 25
c)
y = 3/10x + 30
d)
y = 3/10x + 25
58.
Point (-5,2) is reflected over the y axis. Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
59.
Point (7,2) is translated up 2 units and left 5 units. Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
60.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
61.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
62.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
63.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
64.
a)
28 ft
b)
38 ft
c)
43 ft
d)
49 ft
65.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
66.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
67.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
68.
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
69.
Find the volume of the right cylinder?
a)
6516 units3
b)
2276 units3
c)
1693 units3
d)
9923 units3
70.
Find the volume of the figure.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
71.
Find the volume of each sphere. Round
your answers to the nearest tenth if
necessary. Use 3.14 for π.
a)
4.9 in3
b)
13.2 in3
c)
9.2 in3
d)
10.7 in3
72.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
73.
What type of correlation (association)?
The outside temperature and the amount of layers you wear.
a)
Positive correlation
b)
Negative correlation
c)
No correlation
74.
What is the correlation between length of running start and distance of jump?
a)
positive: the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
75.
What is the line of best fit?
a)
y= 5x+1.82
b)
cannot be determined
c)
y = 1.82x + 5.02
d)
y = 1.1x + 4.2
76.
What is the equation of the line of best fit?
a)
y = -25x + 170
b)
y = -5/8x + 170
c)
y = 25x + 170
d)
y = 5/8x + 170
77.
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school?
a)
4%
b)
14%
c)
13%
d)
29%
78.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
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