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WorksheetsAlg 1.5 Sem 1 Final Review
Total questions: 63
Worksheet time: 4hrs 19mins
Name
Class
Date
1.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
2.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
3.
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
4.
Express the following in scientific notation:
10,030,400,000
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
5.
How many minutes are in a year?
a)
I can't count that high.
b)
525,600min
c)
52,560min
d)
31,536,000min
6.
How many inches are in 1 mile?
a)
66330in
b)
63360in
c)
63660in
d)
63066in
7.
Find the slope when given (2, 3) (3, 5)
a)
1/2
b)
2
c)
-2
d)
4
8.
Find the slope when given the following points.
(2, 5) (-3, 5)
(2, 5) (-3, 5)
a)
-2
b)
0
c)
Undefined
d)
4/3
9.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
10.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
11.
A line is perpendicular to y = 2x - 7.
What is the slope of this line?
What is the slope of this line?
a)
-2
b)
1/2
c)
-1/2
d)
2
12.
What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
13.
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
14.
Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)
a)
y = -2/3x + 5/3
b)
y = 2/3x - 11/3
c)
y = 2/3x - 4
d)
y = -2/3x + 9
15.
Given the line 2x-3y=9, write the equation of a line perpendicular to it that passes through the point (4, -1)
a)
y = 3/2x - 7
b)
y = -2/3x + 5/3
c)
y = 2/3x - 11/3
d)
y = -3/2x + 5
16.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
17.
What is the proper range?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
18.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
19.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
20.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
21.
What is the range?
a)
-3 < y ≤ 3
b)
-4 ≤ y < 5
c)
-4 ≤ y ≤ 5
d)
-3 < y ≤ 3
22.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
23.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
24.
(7 + 41) ÷ 2 – 15
a)
19
b)
9
c)
25
d)
3
25.
(10 + 33 - 3) ÷ 8
a)
13
b)
3
c)
5
d)
11
26.
Simplify the following:
-8 + (15 - 3) ÷ 4
-8 + (15 - 3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
27.
Solve the following:
5 - 62 ÷ 4 - 3
5 - 62 ÷ 4 - 3
a)
1
b)
-10.75
c)
-31
d)
-7
28.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
29.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
30.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
31.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
32.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
33.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
34.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
35.
x5y3 / xy2
a)
x4y
b)
x2y
c)
x4y2
d)
x6y5
36.
Simplify (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
37.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
38.
Use the distributive property to simply the expressions below:
4x + 2(x + 1)
4x + 2(x + 1)
a)
6x + 2
b)
4x + 2x + 2
c)
6x + 1
d)
8x + 2x + 2
39.
Use the distributive property to simply the expressions below:
4(r + 4) - r
4(r + 4) - r
a)
4r + 16 - r
b)
4r + 4
c)
4r + 16r
d)
3r + 16
40.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
41.
(x - 5)(x + 1)
a)
x2 - 4x - 5
b)
x2 + 6x - 5
c)
x2 - 5x - 4
d)
x2 - 4x - 4
42.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
43.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
44.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.
(3a + 4)2
a)
9a2+12a+16
b)
9a2+24a+16
c)
9a2+12a+8
d)
9a2+24a+8
49.
(x−5)2
a)
x2 +10x+25
b)
x2 − 25
c)
x2 −10x+25
d)
x2 +25
50.
a)
1/7
b)
47/36
c)
7
d)
23
51.
a)
5
b)
-5
c)
25
d)
-25
52.
a)
-20/9
b)
20/9
c)
-9/20
d)
9/20
53.
a)
F
b)
G
c)
H
d)
J
54.
Describe the transformation.
a)
translation: right 4 and 2 down
b)
reflection across the y-axis
c)
rotation -90⁰ about the origin
d)
rotation 180⁰ about the origin
55.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
56.
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
57.
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)
58.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
59.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
60.
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
61.
Identify the transformation from ABCD to A'B'C'D'.
a)
90o rotation
b)
Translation
c)
Reflection across the x-axis
d)
Reflection across the y-axis
62.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
63.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
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