Math 8 Basic Reviewer, Exams of Mathematics

Simplification of rational expressions Word problems

Typology: Exams

2021/2022

Uploaded on 08/17/2023

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Tanza, Cavite
Second Trimester Test - Math 8 (Part I)
Name: ________________ Date: _________
Year/Section: __________ Mr. Abel V. David
I. Simplify each rational expression. (4 points)
9x8y
21 x2y4
50x7
28x3
1.
2.
II. Perform the indicated operations. (4 points)
2.
1. -
16
3x
12
x
+
7
4x
5
x
4. 2x2 + 11x + 5
2x2 -3x - 40
3.
3x + 9
5x + 15
3. .
5x + 25
x2 - x - 6
x2 + 3x + 2
x2 + 6x + 5
4. .
÷
3x2 + 4x + 1
x2 + 10x + 9 x2 + 5x - 36
3x2 + 7x + 2
2
2x - 3 =4
1
=
3x - 2
7x
III. Solve each equation. (3 points)
2.
1.
IV. Solve the following problems. Use one whole sheet of paper for your solutions. (2 points each)
1. The denominator of a certain fraction is 10 more than its numerator. If 3 is added to
the numerator and subtracted from the denominator, the value of the new fraction is ¾.
Find the original fraction.
___________________________________________________________
2. Find two consecutive integers such that the difference of the three-fourths of the first
and one-fifth of the second is 13.
___________________________________________________________
3. Marc can do a job in 4 days. When Marc and Anna work together, it would take
them 2 2/3 days. How long would the job take Anna to do it alone?
__________ __ __ __ _____________ __ _____________ __ __ __ __________
3
=
x - 5
x + 1
3.

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Tanza, Cavite

Second Trimester Test - Math 8 (Part I)

Name: ________________ Date: _________

Year/Section: __________ Mr. Abel V. David

I. Simplify each rational expression. (4 points)

9x

8 y

21 x

2 y

4

50x

7

28x

3

II. Perform the indicated operations. (4 points)

3x

x

4x

x

2x

2

  • 11x + 5

2x

2 -3x - 40

3x + 9

5x + 15

5x + 25

x

2

  • x - 6

x

2

  • 3x + 2

x

2

  • 6x + 5

÷

3x

2

  • 4x + 1

x

2

  • 10x + 9 x

2

  • 5x - 36

3x

2

  • 7x + 2

2x - 3

3x - 2

7x

III. Solve each equation. (3 points)

IV. Solve the following problems. Use one whole sheet of paper for your solutions. (2 points each)

  1. The denominator of a certain fraction is 10 more than its numerator. If 3 is added to

the numerator and subtracted from the denominator, the value of the new fraction is ¾.

Find the original fraction.


  1. Find two consecutive integers such that the difference of the three-fourths of the first

and one-fifth of the second is 13.


  1. Marc can do a job in 4 days. When Marc and Anna work together, it would take

them 2 2/3 days. How long would the job take Anna to do it alone?


x - 5

x + 1