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WorksheetsAlgebra Midterm Review
Total questions: 185
Worksheet time: 2hrs 33mins
47+ (-28)
75
47
19
28
-19-17
2
-36
36
-2
-9k+7k
-2k
16k
-16k
2k
-2 + (-6) - 7
15
1
-11
-15
5/8 + (-3/8)
-1/4
1
1/4
-1
-5/7 - 9/7
1/2
-2
-14/7
-4/7
1/2 + (-8/16)
0
9/16
-7/16
-3/8
-3/5 + 3/4
0
0/9
-6/9
3/20
-3 1/6 + ( -5/6)
-8
-4
-3 -4/6
0
2 6/11 - 12/33
2 6/22
24/11
12/11
0
Evaluate
4 + 8 / 2 - 3
5
6
3
1
Evaluate
√m - |p2 + mn|
when m=36 , n= -2/3 , and p=3
-12
24
21
-9
Evaluate
6a2 + b(c - 3a)
when a=3, b=5, c=16
116
89
125
71
What is f(-8) for the funtion f?
-3
-21
-15
-33
what is h(6) for the function h?
-23
-18
-15
-27
What is the simpilest form of 10y2 - 2(y2 - x)
8y2 + 2x
8y2 - 2x
12y2 + 2
12y2 + 2x
Math the property with the proper statement.
(12+18) + 30 = 12 + (18 +30)
Commutative
Assoiative
Symmetric
Transitive
Math the property with the proper statement.
5 + 0 = 5
Additive Identity
Symmetric
Transitive
Substitution
Math the property with the proper statement.
7(8 - 3x) = 56 - 21x
Substitution
Multiplicative Identity
Distributive
Reflexive
Math the property with the proper statement.
4 x 1 = 4
Subsitution
Multiplicative Identity
Transitive
Symmetric
Math the property with the proper statement.
w + (4 + 6) = w + 10
Substitution
Commutative
Additive Identity
Symmetric
Math the property with the proper statement.
x + 3 = x + 3
Reflexive
Symmetric
Transitive
Associative
Math the property with the proper statement.
If 9 = 5 + 4, then 5 + 4 = 9
Transitive
Associative
Symmetric
Substitution
Math the property with the proper statement.
53 + n = n + 53
Symmetric
Associative
Distributive
Commutative
(Write an algebraic expression for each verbal expression)
The sum of a number and twenty-one.
x - 21
x+21
21x
21/x
(Write an algebraic expression for each verbal expression)
Six less than two times a number.
2x - 6
6 - 2x
6 - 2 + x
2 + x - 6
(Write an algebraic expression for each verbal expression)
Forty-two decreased by twice a number
42- 2x
2x- 42
42x - 2
42x + 2
(Evaluate each expression)
(15 - 3 + 8 / 2) / 8 + 5
10/8
7
2
5
(Evaluate each expression)
40 - 1/2 |4 - 12|
-36
23
-23
36
(Evaluate the expression)
6
0
-6
4
{ Simplify each expression, if possible. If no possible, write "in simplest form" }
5(x + 3) + 2x
5x + 3 + 2x
7x + 15
7x + 3
14x + 15
{ Simplify each expression, if possible. If no possible, write "in simplest form" }
3a2 + 4a - 7a2 + 5a
10a2 + 9a
19a2
-19a2
-4a2 + 9a
{ Simplify each expression, if possible. If no possible, write "in simplest form" }
1/6(30x - 42)
5x- 42
180x -42
x - 7
5x-7
{ Simplify each expression, if possible. If no possible, write "in simplest form" }
5a - 7(2a + 3)
-9a - 21
5a - 14a - 21
-12a -21
-2a + 21
{ Simplify each expression, if possible. If no possible, write "in simplest form" }
-6y2 - 3(x2 + 4x2y - 2y2) - 4x
7x2y - 8y2 - 4x
-12y2 + 14x2y
-3x2 - 12x2y - 4x
-12y2 - 12x2 + 12x2y
132 - 58
190
-190
-74
74
-12 + (-34)
22
-46
-22
46
-11 + 35
24
-46
-24
46
10b - 51b
61b
-61b
41b
-41b
4 + ( -9 ) - 6
19
-11
-19
11
3 1/8 + (-1/2)
21/8
3
3 1/16
-21/8
-3/5 - (4/7)
-7
-41/35
7
41/35
1/2 - (-1 1/5)
-1 2/10
1 2/10
-17/10
17/10
-4 1/4 + 1/3 - 2 1/2
-4 4/12
-77/12
4 4/12
77/12
(-5)(3)(-4)
-60
-6
60
-5
(1/4)(-100)
-100 1/4
-100/4
-1/400
-25
(2/9)(3/2)
1/3
5/11
5/18
6/11
-42 / -6
-7
7
252
-252
(1/2) / 7
1/14
14
7/14
1/2
(-6/7) / 2
-12/14
-3/3.5
-6/14
-3/7
(-3/4) / 5/8
-15/32
-6/5
1.2/2
15/32
2 1/4 (-3 1/2)
-63/8
-6 2/4
63/8
6 2/4
(-2 1/4) / -3 1/2
-9/14
9/14
6 2/4
6 1/2
-6 / (2/5)
-15
-1/10
-3
15
(1/4)(9/7)(6)
9/30
-9/30
-27/14
27/14
(√25 - 1/4 + 2 5/6) / (91/4)
14 1/2
1/3
-14 1/2
-1/3
y + (-18) = -3
y = -21
y = 15
x = 15
x = -21
5w = -75
w = -15
w= -70
x = -70
x = -15
8 - 3x = -16
x = 8
x = -7
y = 7
y = 8
10 - p = 15
p = -5
w = 25
-p = -5
p = 25
y = -10
y = 10
x = 26
x = -26
x/3 - 8 = -12
x= -12
x = -4
y = -12
y= -4
x = 64
y = -192
y = 64
x = -192
n - 2 = 6 - 3n
n = 6
n = 2
m = 2
m = 6
2y -7 = -1 - 2y
y = 6
y = 3/2
y = 6
x = 3/2
17 + 2n = 21 + 2n
17 = 21
All real numbers
2n-21
No Solution
4(2a - 8) = 1/7(49a + 70)
a = 42
a = 10
b = 42
b = 10
3(x - 1) - x = 3 - 2(x - 3)
x = 3/2
y = 3/2
y = 3
x = 3
Solve ax - 5 = b for x
b= x+5/9
x = b+5/9
9= bx+a
x = 9+ba/2
x = -9c + b / 2
2x - b = -9c
-b = 2x - 9c
x = 2 - b - c / -9
Solve 2(x - 3y) = z
x = 2 - 6y + z
y = z + 6y / 2
y = 2 - 6y + z
x = z + 6y / 2
2x + 4 = 2(x + 2)
0
All Solutions
4
No Solution
1/2d + 3/8 = -2d
d = -19/4
d = -3/20
d = -2/4
d = 3/16
-12 = 3 - 2k - 3k
m = 3
k = -15
k = 5
k = 3
The formula shown can be used to find A, the amount of money Raul has in his savings account.
A = P + Prt
Raul wants to find r, the rate of interest his money earns. Which equation correctly solved for r? (Choose best answer below)
r = APt
r = A - 2Pt
r = A/ 2pt
r = A - P/ Pt
What value of n will make this true?
n = 30/35
n = 65/3
n = -35/30
n = 65/ 4
What is the solution of 3(2n - 5/6) - 5n = -3/4(n + 1/2) + 11
n = -79/14
n = 85/14
n = 1/4
n = 105/14
3x - 2 = -5
x = -7/3
x = 1
x = 7/3
x = -1
8 - 5w = -37
w = 9
w = -37/8
w = -29/5
w = 29/5
n/3 - 8 = -2
n = -12/3
n = 1/2
n = -10
n = 18
s + 12 / -5 = -14
s = -31
s = 72
s = -9.2
s = -14/5
8 - 3/8k = -4
k = 32
k = 1/3
k = 43
k = 1/2
42 = 2(9 - 2v)
v = 6
v = 12
v = -6
v = -12
-3(a - 4) = 15
a = 19/3
a = -19/3
a = 1
a = -1
Solve for j
j = 72/3
j = -2/3
j = 76/3
j = -76/3
5x + 12 = -6
x = -18
x = -18/5
x = 18
x = 18/5
10 + 10n = 10
n = 10
n = 0
n = -10
n = 1
-6(x + 2) = 42
x = -9
x = 54
x = 9
x = -54
-16 + 4x = -30
x = -7/2
x = 14
x = 46/4
x = -46/4
8 + b/-4 = 5
b = -4
b = -12
x = 12
b = 12
Twelve decreased by twice a number is -7. Find the number.
x = 5/2
x = -5/2
x = 19/2
x = -19/2
Twenty-nine is 13 increased by 4 times a number. Find the number.
x = 4
x = 16
x = 29
x = 1/2
2m + 7 > 17
m > 5
m < 5
m > 17
m < 17
-2 -3x > 2
x > -4/3
x < -4/3
x > 4
x < 4
7x - 1 < 26 - 2x
x > 3
x < 3
x < -5
x > -5
2x + 5 < 3x - 7
x > 5
x < 5
x < 12
x > 12
x < 19
x > 19
x < 7/5
x > 7/5
9r + 15 > 24 + 10r
r < -39/19
r > -9
r < -9
r > -39/19
4y + 2 < 8y - (6y - 10)
y < 4
y > 4
y < 8
y > 8
5(2h - 6) - 7(h + 7) > 4h
h < -79
h > -88
h < -88
h > -79
Two-thirds of a number decreased by 27 is at least 9. What is the number?
x > 54
x < 36
x > 36
x < 54
The opposite of -12 is less than four times the sum of a number and 6. What is the number?
x > -3
x > 3/2
x < -3
x < 3/2
4 + y = 25
y = 29
y = 21
y = 25/4
y = 100
a - (-6) = -5
y = -30
y = 5/6
y = 1
y = -11
x + (-4) = 10
x = 6
x = 40
x = 14
x = 5/2
8 - x = 25
x = -17
x = 33
x = 25/8
x = 200
x + 5/6 = 1/6
b = 1
b = -2/3
b = -1/2
b = -1/3
-f/4 = -6
f = 24
f = -9
f = -2
f = -3/2
-7b = -42
b = -49
b = -35
b = 294
b = 6
b/2 = -12
b = -10
b = -24
b = -14
b = -6
7x/4 = 14
x = 10
x = 6
x = 8
x = 2
r - 3 = 10
r = 13
r = 7
r = -30
r = -10/3
The sum of a number and -21 is 35. Find the number.
x = 56
x = 14
x = 70
x = 35/2
The difference of 10 and a number is -16.
x = -6
x = 26
x = 160
x = -8/5
One third a number is 27. Find the number
x = 25
x = 9
x = 30
x = 81
The product of 6 and a number is 24. Find the number.
x = 30
x = 4
x = 18
x = 144
3 4/3 - y = -2 2/12
y = 39/2
y = 13/2
y = -26/2
y = -13/2
Is (5, -1) a solution 3x - y = 10?
Yes
No
Is (-1, 0) a solution to y = x + 1?
Yes
No
Solve for y: 12x - 3y = 15
y = 12x + 12
y = 4x - 5
y = 4x + 5
y = 12x + 18
Solve for y: 5y - 3x = 10
y = 3/5x - 2
y = -3x + 7
y = 3/5x + 2
y = -3x + 2
Given f(x) = 2x - 1
Find f(5)
2/5
9
-9
-2/5
Given f(x) = 2x - 1
Find 3[ f (-3)]
-21
19
-19
21
Is this a function
Yes
No
Is this a funtion?
Yes
No
Is this a function?
Yes
No
Is this a funtion?
Yes
No
Is this a funtion?
Yes
No
Is this a funtion?
Yes
No
Is this a function?
Yes
No
State the relation
{(1,3), (2,5), (3,7), (4,9)}
{1, 2, 3, 4}
{3, 5, 7, 9}
{(3, 1), (5, 2), (7, 3), (9, 4)}
State the domain.
{(1,3), (2,5), (3,7), (4,9)}
{ 1, 2, 3, 4}
{3, 5, 7, 9}
{(3, 1), (5, 2), (7, 3), (9, 4)}
State the range.
{(1,3), (2,5), (3,7), (4,9)}
{1, 2, 3, 4}
{3, 5, 7, 9}
{(3, 1), (5, 2), (7, 3), (9, 4)}
State the inverse.
{(1,3), (2,5), (3,7), (4,9)}
{1, 2, 3, 4}
{3, 5, 7, 9}
{(3, 1), (5, 2), (7, 3), (9, 4)}
State the domain of the relation below.
{ (3, 3) , (2, 5), (1, -7), (2, 9), (3, 3), (-1, 5), (-3, 2) }
{(3, 3) , (2, 5), (1, -7), (2, 9), (3, 3), (-1, 5), (-3, 2)}
{-3, -1, 1, 2, 3}
{-7, 2, 3, 5, 9}
{(3, 3), (5, 2), (-7, 1), (9, 2), (3, 3), (5, -1), (2, -3)}
State the range of the relation below.
{ (3, 3) , (2, 5), (1, -7), (2, 9), (3, 3), (-1, 5), (-3, 2) }
{-3, -1, 1, 2, 3}
{(3, 3), (5, 2), (-7, 1), (9, 2), (3, 3), (5, -1), (2, -3)}
{-7, 2, 3, 5, 9}
{ (3, 3) , (2, 5), (1, -7), (2, 9), (3, 3), (-1, 5), (-3, 2) }
State the inverse of the relation below.
{ (3, 3) , (2, 5), (1, -7), (2, 9), (3, 3), (-1, 5), (-3, 2) }
{-3, -1, 1, 2, 3}
{(3, 3), (5, 2), (-7, 1), (9, 2), (3, 3), (5, -1), (2, -3)}
{-7, 2, 3, 5, 9}
{ (3, 3) , (2, 5), (1, -7), (2, 9), (3, 3), (-1, 5), (-3, 2) }
State the Relation of the function.
{1, 2, 3, 4, 5, 6}
{(1, 3), (2, 1), (3, -1), (4, 2), (5, 0), (6,6)}
{(3, 1), (1, 2), (-1, 3), (2, 4), (0, 5), (6, 6)}
{-1, 0, 1, 2, 3, 6}
State the Domain of the function.
{1, 2, 3, 4, 5, 6}
{(1, 3), (2, 1), (3, -1), (4, 2), (5, 0), (6,6)}
{(3, 1), (1, 2), (-1, 3), (2, 4), (0, 5), (6, 6)}
{-1, 0, 1, 2, 3, 6}
State the range of the function.
{1, 2, 3, 4, 5, 6}
{(1, 3), (2, 1), (3, -1), (4, 2), (5, 0), (6,6)}
{(3, 1), (1, 2), (-1, 3), (2, 4), (0, 5), (6, 6)}
{-1, 0, 1, 2, 3, 6}
State the inverse of the function.
{1, 2, 3, 4, 5, 6}
{(1, 3), (2, 1), (3, -1), (4, 2), (5, 0), (6,6)}
{-1, 0, 1, 2, 3, 6}
{(3, 1), (1, 2), (-1, 3), (2, 4), (0, 5), (6, 6)}
What is the domain of the graph?
R
y > -3
What is the range of the graph?
R
y > -3
What is the domain of the graph?
x < 4
y > 0
x > 4
y < 0
What is the range of the graph?
x < 4
x > 4
y > 0
y < 0
What quadrant is the star in?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
What is the point of the star?
(5, -4)
(-4, 5)
(-5, -4)
(-4, -5)
What quadrant is the point in?
Quadrant I
Quadrant II
y-axis
x-axis
What quadrant is the point in?
Quadrant II
Quadrant III
x- axis
y- axis
