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WorksheetsMidterm Review Topics in Algebra
Total questions: 164
Worksheet time: 11hrs 10mins
The diagonal of a rectangle is 25 in. The width is 15 in. What is the length of the rectangle?
20 inches
29.2 inches
400 inches
625 inches
(-6)2
12
-12
-36
36
Select all sets that the number belongs to:
-6
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
0.5
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
0.32482418....
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
13
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Select all sets that the number belongs to:
2−10
Irrational Number
Rational Number
Integer
Whole Number
Natural Number
Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).
(1, 3)
(3.5, -.5)
(-.5, 3.5)
(6, -.5)
Lisa went to the mall to do her back-to-school shopping. When she returned home, she noticed that the number of shirts(s) she purchased was 3 more than twice the number of pants(p) she bought. Write an equation that can be used to represent the number of shirts Lisa purchased
p = 3 + 2s
s + 2p = 3
2p = s + 3
s = 3 + 2p
17 less than h equals 42
Robyn had some video games, then bought 4 more. Now she has a total of 10 games.
John wants to buy an MP3 Player that costs $30.98. How much change did he receive if he gives the cashier $40.
Solve the equation:
3c=12
36
4
15
9
Solve the equation:
x−12=2
24
10
20
14
Solve the equation:
−8x=−32
4
40
6
5
Solve the equation:
x−8=10
2
9
10
18
Solve the equation:
−2x=−4
22
9
8
6
Solve the equation:
−y=22
y = 1
y = -22
y = 0
y = -1
Solve the equation:
−22+x=−42
64
-64
20
-20
Solve each equation:
12=x−(−18)
6
-6
30
-30
−18−6k=6(1+3k)
k=−2.67
k=−1
k=1
k=6
−3(4x+3)+4(6x+1)=43
x=3.25
x=4.25
x=−4
x=4
4x−7−6x=5−4x+4
x=−4
x=−1
x=3
x=8
3m=5(m+3)−3
m=0
m=−6
m=7.5
m=6
2(3x−4)=3x+1
x=3
x=35
x=−2
x=1
5+4x−7=4x−2−x
x=2
x=1
x=−3
x=0
2(x + 5) = 2x + 5
½ (2x + 6) = 3x + 13
4 - 6x - 2= -2(3x-1)
2x - 1 = ¾x + 9
4 - 2(x - 3) = 24
Solve for k. |6 - 2k| = 18
k = -6, k = 6
k = -6, k = 12
k = -6, k = -12
k = -6, k = 5
Solve the following equation:
|−4 + 5x| = 16
{16/5,12/5}
{4, −5}
{−12/5, 4}
{4}
Solve for b in the following equation.
3b + 3 = 9
{ 2, 4 }
{ 2, −4 }
{ 18, −36 }
{ 18, 36 }
Solve x + 3.5 = 9.5
x=6
x=7
x=6.5
x=7.5
Solve the equation. Check your solution.
p = 80
p = 45
p = 180
p = 5
Solve the following equation.
0.9k=2.7
*Hint: Do the opposite operation*
k=3
k=2.43
k=1.8
Solve.
x−59=−101
1519
1517
1017
1019
81
65
32
41
Solve for x.
2/5 + x = 3/4
5/9
7/20
8/20
1/9
–1.3x + 1.9 = –11.1
7.1
-10
10
-7.1
61d + 34 = −31
-10
−185
185
10
5x - 14 = 8x + 4
3.2 = –0.8p
-4
2.56
-2.56
4
–14.3 = –1.4 – 3d
-5.2
5.2
-4.3
4.3
-11.15
17
11.15
-17
7 = 9 + 54q
2 21
−1 53
1 53
− 221
15 − 21x = −3
9
36
-36
-9
Solve the equation. Check your solution.
5/3 or 1 2/3
243/125 or 1 118/125
1.944
-5/3 or -12/3
Solve.
2x=97
149
914
187
718
Five less than a number n is thirty four.
5 - n = 36
n - 5 = 35
5 - n = 34
n - 5 = 34
5 more than a number is sixty
x + 5 = 50
x + 5 = 60
5 + x = 60
5 + x = 50
The sum of x and 8 is three less than four
8x = 3 - 4
8x = 4 - 3
x + 8 = 3 - 4
x + 8 = 4 - 3
Which choice models this situation?
Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?
t + 4 = 58
t - 4 = 58
4t = 58
t/4 = 58
Which choice models this situation?
Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?
h - 5 = 35
h + 5 = 35
5h = 35
h/5 = 35
Which expressions can be used to represent the sum of 4 consecutive integers?
n, n+1, n+2, n+3
n+1, n+2, n+3, n+4
n, n+2, n+4, n+6
n, 2n, 3n, 4n
Which expressions can be used to represent the sum of 3 consecutive odd integers?
n+1, n+2, n+3
n, n+1, n+3
n, n+1, n+2
n, n+2, n+4
The sum of two consecutive integers is 99. Find the value of the smaller integer.
48
49
50
51
Find three consecutive even integers whose sum is 84.
26, 28, 30
28, 30, 32
27, 28, 29
24, 26, 28
The sum of three consecutive even numbers is 72. Find the smallest number.
21
22
23
24
The sum of three consecutive odd integers 141. What are the three integers?
47, 48 , 49
45, 47, 49
46, 48, 50
41, 49, 51
60%
55%
65%
"35 is what percent of 40?"
What is the 40?
Gracie brought 24 cookies to give to her 3 classes. Tomorrow she has 4 classes, so how many cookies should she bring?
24
32
8
64
If I need 5 cups of flour to make 3 pies, how many pies can I make with 25 cups of flour?
30
15
25
5
Find THREE equivalent ratios for 4/5. Select all that apply.
5:4
108
12:15
5 to 4
40 to 50
Find THREE equivalent ratios for 4 to 7. Select all that apply.
148
7 to 4
24:42
7:4
20:35
Select TWO equivalent ratios for 8:10
10:8
4:5
40:40
80:100

20 dogs to 5 dogs
The original cost was $50 and the new cost is $60.
tax: 7%
Find the total price.
discount: 40%
Find the total price.
Solve for d
C = πd
C − π=d
C + π=d
πC=d
πC=d
Solve for h
V = lwh
V −l−w = h
V−lw = h
lwV= h
V−wl=h
Solve for r:
LA = 2πrh
LA−2πh = r
2πhLA= r
2LA−πh = r
πh2LA= r
Solve for x:
m =2x+y
2m−y=x
y2m=x
2m−y=x
2(m−y)=x
−3x +2c = 3 solve for x
x=−33−2c
x = 6+2c
x = 6−2c
x = 33+2c
a = 3y−x solve for x
x = a + 3y
x = a −3y
x = −a −3y
x = −a+3y
Evaluate ∣3y∣−z if y = 2 and z = 5 :
1
–1
–11
11
Evaluate |b+1|+ 8 if b = -3
6
8
10
12
Evaluate 5 – |c+1| if c= –4.
0
2
8
10
∣x+5∣ = −3
−2 or −8
no solution
0
(Hint: 5280 ft = 1 mi)
Convert 40 ounces to pounds. (16oz = 1lb)
2.5 pounds
.4 pounds
2/5 pounds
5 pounds
(1 gallon = 3.79 Liters)
How many yards are in 1 mile? (3 ft = 1 yd) (5280 ft = 1 mi)
1670yds
5280yd
1760yds
5820yds
3, 5, 7, ... is an arithmetic sequence
True
False
3, 15, 75, ... is an arithmetic sequence
True
False
20, 10, 5, ... is an arithmetic sequence
True
False
What is the common difference of the given arithmetic sequence:
–2, 5, 12, 19, 26, . . . ?
–2
3
5
7
Find the 63rd term of the arithmetic sequence -1, 5, 11, ...
(a)
Find the 59th term of the arithmetic sequence 26, 17, 8, ...
(a)
What is the fifth term of the geometric sequence?
5, 15, 45,...
135
1875
1215
405
Find the 9th term in the following geometric sequence:
4, 8, 16, 32, ...
384
512
768
1,024
To find the next term in a geometric sequence…
add the common difference d
multiply by the common ratio r
Find the 5th term of the geometric sequence:
10
19
1701
567
Find the common ratio:
2, 8, 32, 128, ...
1/4
4
1/6
6
Arithmetic, geometric, or neither?
100, 50, 25, 12.5, ...
Arithmetic
Geometric
Neither
Arithmetic, geometric, or neither?
1, 3, 7, 13, ...
Arithmetic
Geometric
Neither
Order least to greatest −3 3 1 3.3 −3 43 3.5
🤠
−3 43 −3 31 3.3 3.5
−3 43 −3 31 3.5 3.3
3.5 3.3 −3 31 −3 43
True or False, Are these in order from least to greatest? −2 43 −2.2 2.8 3 81
True
⚽
False
🏈
Compare using < , > , or =
0.25 ____ 1/4
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>
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