Fractions Worksheet

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From Algebra 1 going into Geometry Summer Worksheet 2.
(ALL without a calculator).
Simplify. Leave all answers as Improper Fractions. All work must be shown.
8
2
1
3
2
5
4
1.
21
2.
9
7
3.
-
4.
8
3
3
4
4
7
6
7
2
3
4
2
9
6
5
7
5.
(13)
6.
7.
8.
11
8
7
9
5
15
3
2
9. If a third of a number is 14, then 2 times the number is _________.
Solve for the variable.
4
1x
1
8 – 3n = 35
10.
2x - 11 = 29
11.
12.
5
3
6
3
3x – 6 – 7x = 12 – 2x + 6
14.
4(3n + 2) = 44
15.
13.
y
24
4
1
1
2(y + 3) – 3y = 5 – y + 1
16.
17.
(8n
4)
17
-
(4n
-
8)
4
2
9
x
21
1
18.
19.
2
y
7 -
5 -
11
20.
V
Ar
;
for
r
5
x
5
2
21.
96 is what percent of 150?
22.
45 is 90% of what number?
2
x
2
5(12 – 3n) ≥ 15(n + 4)
17 – 6y < -13
23.
24.
25.
-
5
3
9
26.
Your quiz grades are 73, 75, 89, and 91. What is the lowest grade you can obtain on the
last quiz and still achieve an average of at least 85?
Simplify (with no negative exponents).
4
2
6
-
2x
y
5
4
3
2
4
7
6
5
27.
9
(9
x
)
28.
(3x
y
n
)
29.
5
2
4
-3
2
0
(3y
)
7n
x
(8x
n)
30.
31.
32.
4
3
6
5 -
49nx
3
y
4y
3
2
2
3
4
3
2
33.
(5n
- 3n
- 6n) - (-2n
+ 7n)
34.
6y
(4y
- 5y
+ 9y
)
Multiply.
2
35.
(6x - 5) (3x + 8)
36.
(9x - 7) (9x + 7)
37.
(8n - 3)

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