Free Printable First Quarter Mathematics 8 Exam

1.

The process of finding the factors of an expression, which is the reverse of multiplication?

a)

Factoring

b)

Multiplying

c)

Dividing

d)

All of the above

2.

Which of the following expressions is a rational algebraic expression?

a)

$\frac{x}{y}$

b)

$\frac{3c^{-3}}{\sqrt[]{3y}}$

c)

$4y^{-2}+z^{-3}$

d)

$\frac{2a-b}{2-2}$

3.

Simplify : $\frac{4x}{6x^2}$

a)

3x

b)

$\frac{2}{3}$

c)

2x

d)

$\frac{2}{3x}$

4.

Determine the location of (-2,-6) and (0,-4).

a)

Q III and x- axis

b)

Q III and y- axis

c)

Q II and x- axis

d)

Q II and y- axis

5.

Which of the following illustrates linear equation in two variables?

a)

y=3

b)

y+3=0

c)

x+y=5

d)

x=9

6.

What is the slope of linear equation y = -5x+2?

a)

2

b)

-2

c)

5

d)

-5

7.

Describe the slope of the given figure.

a)

m>0

b)

m<0

c)

m=0

d)

m is undefined

8.

Which of the following is the standard form of y = -2x + 3 ?

a)

2x + y = 3

b)

- 2x + y = 3

c)

2x - y = 3

d)

-2x - y = 3

9.

What will be the y=mx+b of the standard form 4x+2y=8 ?

a)

y=-2x+4

b)

y=2x-4

c)

y=-2x-4

d)

y=2x+4

10.

Describe the graph of the system of linear equations that is consistent and dependent.

a)

intersecting lines

b)

Parallel lines

c)

coincide

d)

All of the above

11.

When a system has an infinite solution set, the system is said to be .

a)

Independent

b)

Dependent

c)

Inconsistent

d)

None of the above

12.

Find the equation of a line whose slope is 2 and y-intercept is -3.

a)

y=12x+3

b)

y=2x+3

c)

y=12x-3

d)

y=2x-3

13.

Which system of linear equations in two variables has graphs that intersect?

a)

x + 2y = 3

2x + 4y = 6

b)

x + 2y = 5

2x - y = 4

c)

x + y = 3

x + y = 5

d)

x - 2y = 5

2x - 4y =10

14.

What do you call a system of linear equations that form parallel lines?

a)

Dependent equations

b)

Independent equations

c)

Inconsistent equations

d)

Both b and c

15.

How many solutions does a consistent and independent system of linear equations have?

a)

0

b)

1

c)

2

d)

infinite

16.

What is the GCF of $6a^3b^3+9a^4b^6c$ ?

a)

$18a^4b^6c^3$

b)

$18a^3b^3c^{ }$

c)

$3a^3b^3$

d)

$3a^4b^6c^3$

17.

Your classmate was asked to square 2x-3. He answered $4x^2=9$ . Is his answer correct?

a)

Yes, because squaring a binomial produces a binomial product.

b)

Yes, because product rule is correctly applied

c)

No, because squaring a binomial always produces a trinomial product

d)

No, because the answer must be 4x2+9

18.

What makes rational algebraic expression undefined?

a)

When the excluded value is equal to 0

b)

When the numerator becomes 0

c)

When the denominator becomes 0

d)

When the value of the given variable is equal to 0

19.

Which of the following is NOT an example of a rational algebraic expression?

a)

$\frac{5x-1}{3}$

b)

$\frac{4x+y}{2x-5y}$

c)

$\frac{a+4}{a-\sqrt[]{2}}$

d)

$10ab^2$

20.

What would be the value of y to make rational algebraic expression $\frac{y-7}{y^2-49}$ undefined?

a)

±7

b)

±14

c)

±16

d)

±49

21.

Find the sum of $\frac{5}{xy}$ and $\frac{3}{xy}$ .

a)

$\frac{15}{xy}$

b)

$\frac{8}{y}$

c)

$\frac{8}{xy}$

d)

$\frac{15}{x}$

22.

What is the product of $\frac{5x}{8}$ and $\frac{4}{3x}$ ?

a)

$\frac{5x}{24}$

b)

$\frac{5}{6}$

c)

$\frac{5x}{6}$

d)

$\frac{5}{x}$

23.

A boy rents a bicycle in the park. He has to pay a fixed amount of ₱10 and an additional cost of ₱15 per hour thereafter. If y refers to the cost and x refers to the number of hours, what is the correct mathematical model of the situation?

a)

y = 15x + 10

b)

y = 10x + 15

c)

y = 15x - 10

d)

y = 10x - 15

24.

Which of the following is the slope and y-intercept of linear equation 2x + y = -3 ?

a)

m = 2; b = -3

b)

m = -2; b = -3

c)

m = -2; b = 3

d)

m = 2; b = 3

25.

What is the slope of the given figure?

a)

3

b)

-3

c)

$\frac{3}{2}$

d)

$-\frac{3}{2}$

26.

What is the equation of the line whose slope is 4 and y- intercept is 3 ?

a)

y=4x+3

b)

y=-4x-3

c)

y=-4x+3

d)

y=4x-3

27.

Carlo wants to buy apples and oranges. If 3 apples and 5 oranges cost Php 135, while 4 apples and 2 oranges cost Php 110. How much is the cost of an apple?

a)

Php10

b)

Php 15

c)

Php 20

d)

Php 25

28.

Mr. Agpalo paid Php 260 for 4 adult tickets and 6 children's tickets. Suppose the total cost of an adult's ticket and a children's ticket is Php 55. How much does an adult's ticket cost?

a)

Php 20

b)

Php 35

c)

Php 80

d)

Php 120

29.

Which of the following is a system of linear equations in two variables?

a)

2x+y=3

x-4y=9

b)

x-2y=3

c)

2x+9y=2

2x-y $\le$ 3

d)

5x-3=7

30.

Robert was asked by his teacher to simplify $\frac{a^2-1}{a^2-a}$ on the board. He wrote the solution on the board this way: $\frac{a^2-1}{a^2-a}=\frac{\left(a+1\right)\left(a-1\right)}{a\left(a-1\right)}=1$ . Did he arrive at the correct answer?

a)

Yes, the expressions that he crossed out are all common factors.

b)

Yes, the LCD must be eliminated to simplify expressions.

c)

No, $a^2$ must be cancelled out so that the answer is 1a

d)

No, a is not a common factor

31.

Find the missing terms: $\left(x+-)(x+-\right)=x^2+15x+50$

a)

25, 2

b)

-25, 2

c)

10 , 5

d)

10 , -5

32.

The dimension of a rectangle is (2x + 7) by (5x + 3). Find its area

a)

$10x^2+21$

b)

7x + 10

c)

$10x^2+41x+21$

d)

$7x^2+17x+10$

33.

What rational algebraic expression is the same as $\frac{a^2-1}{x-1}$ ?

a)

x-1

b)

x+1

c)

1

d)

-1

34.

What is the product of $\frac{a^2b}{3a-9}$ and $\frac{6a^4-4}{2b^2}$ ?

a)

$\frac{6a^2\left(3a^4-2b\right)}{2b^{ }\left(a-3\right)}$

b)

$\frac{6a^6b-4a^2b}{2ab^2-18b^2}$

c)

$\frac{2a^2b\left(3a^4-2\right)}{6b^2\left(a-3\right)}$

d)

None of the above

35.

Angelo can complete his school project in x hours. What part of the job can be completed by Angelo after 3 hours?

a)

x+3

b)

x-3

c)

$\frac{x}{3}$

d)

$\frac{3}{x}$

36.

Write the equation 3x - 5y = 10 in the form y=mx+b.

a)

$y=-\frac{3}{5}x+10$

b)

$y=\frac{3}{5}x+10$

c)

$y=-\frac{3}{5}x+2$

d)

$y=\frac{3}{5}x-2$

37.

Which line passes through the point (1, -4)?

a)

x+y=5

b)

x+y=-5

c)

x-y=5

d)

x-y=-5

38.

Find the equation of the line in the form y=mx+b that passes through (3,4) and (4,7)

a)

y = 3x - 5

b)

y = 3x + 5

c)

y = -3x + 5

d)

y = -3x - 5

39.

What is the factor of $16x^2-49$ ?

a)

$\left(4x+7\right)(4x-7)$

b)

$\left(4x+7\right)(4x+7)$

c)

$\left(16x+1\right)(x-49)$

d)

$\left(16x-1\right)(x+49)$

40.

The area of a square is $4x^2+12x+9$ square units. Which expression represents the length of the side?

a)

(3x+2) units

b)

(2x+3) units

c)

(4x+9) units

d)

(4x+3) units

41.

The simplest form of $\frac{a^2+6a+5}{a^2+3a+2}$ is________

a)

a+5

b)

$\frac{1}{a+5}$

c)

$\frac{a+2}{a+5}$

d)

$\frac{a+5}{a+2}$

42.

The denominator is 4 more than the numerator. If 12 is subtracted from the numerator and added to the denominator, the value of the fraction becomes 19. What is the original fraction?

a)

47 $\frac{4}{7}$

b)

$\frac{3}{7}$

c)

$\frac{2}{7}$

d)

$\frac{1}{7}$

43.

What is the equation of the line whose slope is 1 and a point (5,-2)?

a)

y=x-3

b)

y=x+3

c)

y=x-7

d)

y=x+7

44.

Simplify: $\frac{6ab^2}{4cd}\div\frac{9a^2b^2}{8c^2d}$

a)

$\frac{4a}{3c}$

b)

$\frac{4c}{3a}$

c)

$\frac{4}{3a}$

d)

$\frac{4c}{3}$

45.

The sum of two numbers is 15. If twice the first number is added to thrice the second number their sum would be 35. What are the numbers?

a)

7 and 8

b)

9 and 6

c)

10 and 5

d)

12 and 3

46.

Factor $a^3+216$ completely.

a)

$\left(a-6\right)(a^2+6a+36)$

b)

$\left(a-6\right)(a^2-6a+36)$

c)

$\left(a+6\right)(a^2-6a+36)$

d)

$\left(a+6\right)(a^2+6a+36)$

47.

Simplify: $\frac{6ab^2}{4cd}.\ \frac{4c^2d^2}{8a^2b}$

a)

$\frac{3a}{4c}$

b)

$\frac{3cd}{4a}$

c)

$\frac{3bcd}{4a}$

d)

$\frac{3ad}{4c}$

48.

Which line passes through the points (3,4) and (8,-1)?

a)

y= -x + 3

b)

y= -x - 1

c)

y= -x + 7

d)

y= -3x + 4

49.

What point does x + y = 8 and 2x - y = 1 intersect?

a)

(1,8)

b)

(3,5)

c)

(5,3)

d)

(2,6)

50.

The total amount Andres paid for 2 kilos of beef and 3 kilos of fish is less than Php 700. Suppose a kilo of beef costs Php 250, what would be the maximum cost of a kilo of fish?

a)

Php 60

b)

Php 65

c)

Php 66

d)

Php 67

First Quarter Mathematics 8 Exam

Total questions: 50

Worksheet time: 25mins

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