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WorksheetsT3 Exam Review
Total questions: 78
Worksheet time: 2hrs 58mins
Name
Class
Date
1.
Without graphing, decide whether the system of equations has one solution, no solution, or infinitely many solutions.
y = 5x + 3
y = -5x + 3
y = 5x + 3
y = -5x + 3
a)
One solution
b)
Infinitely many solutions
c)
No solution
2.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines?
a)
Intersecting lines
b)
Same line
c)
Parallel lines
3.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
4.
What is the solution to this system?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
5.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
6.
What is the solution to the system of equations?
y = 3x - 8
y = 4 - x
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
7.
What is the solution?
a)
A
b)
B
c)
C
d)
D
8.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
9.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
10.
Solve the following system by setting the two equations equal to each other. What is the solution?
HINT: - 1/3x + 4 = 2/3x + 1 and then solve for x. Once you find x go back and find y.
HINT: - 1/3x + 4 = 2/3x + 1 and then solve for x. Once you find x go back and find y.
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
11.
y = x - 2
-2x + 3y = -1
SUBSTITUTE what "y" is (x-2) into the second equation (take out y and put in "x - 2) and SOLVE for x. Then go back and solve for y using the first equation (y = x -2)
-2x + 3y = -1
SUBSTITUTE what "y" is (x-2) into the second equation (take out y and put in "x - 2) and SOLVE for x. Then go back and solve for y using the first equation (y = x -2)
a)
(5, -3)
b)
(5, 3)
c)
(-5, -3)
d)
(-5, 3)
12.
Solve:
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
13.
Write an equation models the following statement:
17 less than h equals 42
17 less than h equals 42
a)
17-h=42
b)
h-17=42
c)
h+17=42
d)
17+h=42
14.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
15.
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download?
a)
20 songs
b)
25 songs
c)
30 songs
d)
35 songs
16.
What is the inverse operation of multiplication?
a)
multiplication
b)
addition
c)
subtraction
d)
division
17.
Tony is 3 years less than twice Joan's age. Tony is 27 years old. How old is Joan?
a)
3 - 2j = 27
b)
3 + 2j = 27
c)
2j - 3 = 27
d)
3j - 2 = 27
18.
Solve for x:
2(10x - 9) = 20x - 18
2(10x - 9) = 20x - 18
a)
-9
b)
no solution
c)
infinitely many solutions
d)
20
19.
Are the triangles similar?
a)
Yes
b)
No
20.
Simplify
(7x2) 3
(7x2) 3
a)
7x6
b)
343x5
c)
343x6
21.
56 ⋅ 53 ⋅ 5
a)
510
b)
59
c)
518
22.
a4 ⋅ a7
a)
a-3
b)
a3
c)
a11
23.
∛1/27
a)
1/9
b)
1/3
c)
1/2
24.
(6x2)4
a)
1296x8
b)
24x8
c)
1296x6
25.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
26.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
27.
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
28.
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
29.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
30.
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
31.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
32.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
33.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
34.
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
35.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
36.
Find the volume of a sphere whose diameter is 4cm to the nearest whole number.
a)
34 cm³
b)
268 cm³
c)
50 cm³
d)
201 cm³
37.
Which number is an integer?
a)
-1/2
b)
0.2
c)
3/4
d)
-2
38.
Which statement is true?
a)
Every rational number is an integer
b)
Every whole number is a counting number
c)
Every integer is a whole number
d)
Every whole number is a rational number
39.
Which is an example of an irrational number, or a number that does not make sense?
a)
A non-perfect square
b)
A fraction
c)
A whole number
d)
A perfect square
40.
The square root of 36 is ...
a)
rational
b)
irrational
41.
A repeating decimal is what type of number?
a)
Rational
b)
Irrational
42.
What does this number belong to:
a terminating decimal
a terminating decimal
a)
Rational Number
b)
Irrational Number
43.
The √17 is what type of square root.
a)
Perfect
b)
Non-Perfect
44.
.141414141414...
a)
Rational
b)
Irrational
c)
real
d)
fake
45.
The square root of 13 is between what whole numbers?
a)
12 and 14
b)
1 and 2
c)
3 and 4
d)
2 and 4
46.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
47.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
48.
Estimate the square root.
a)
3.1
b)
2.1
c)
3.9
d)
2.9
49.
Which decimal is closest to √55
a)
7.4
b)
7.1
c)
7.9
d)
7.6
50.
If the volume of a cube is 27in3, what is the length of one side of the cube?
a)
3in
b)
9in
c)
2.7in
d)
3cm
51.
If the area of a square is 81cm2, what is the side length?
a)
9cm
b)
81cm
c)
3cm
d)
9cm2
52.
Which best describes an irrational number?
a)
Any number that can be expressed as a fraction
b)
A positive or negative whole number.
c)
A number that is a non-terminating, non-repeating decimal.
d)
A perfect square.
53.
What type of number is √7
a)
Rational
b)
Irrational
c)
Integer
d)
Imaginary
54.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
55.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
56.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
57.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
58.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
59.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
60.
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)
61.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
62.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
63.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
64.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
65.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
66.
The result of a transformation.
a)
Pre-image
b)
Image
67.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
68.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
69.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
70.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
71.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
72.
What would the new point be if you rotated the point (4,9) 180°about the origin?
a)
a. (-9,4)
b)
b. (-4,-9)
c)
c. ( 9, -4)
d)
d. (4,9)
73.
What is another name for y= 0?
a)
The x-axis
b)
The y-axis
74.
What does the line x = 4 look like?
a)
horizontal (going left and right)
b)
Vertical (going up and down)
75.
What is the same as a rotation of 90 CCW?
a)
270 CW
b)
180CW
c)
270CCW
d)
360CCW
76.
What transformation is happening?
(x, y) ----> (x + 2, y - 3)
(x, y) ----> (x + 2, y - 3)
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
77.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
78.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
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