Quiz about First Quarter Mathematics 8 Exam

Question 1

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

Accepted Answer

Factoring

Answer

Multiplying

Answer

Dividing

Answer

All of the above

Question 2

Which of the following expressions is a rational algebraic expression?

Accepted Answer

$$\frac{x}{y}$$

Answer

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

Answer

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

Answer

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

Question 3

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

Accepted Answer

$$\frac{2}{3x}$$

Answer

3x

Answer

$$\frac{2}{3}$$

Answer

2x

Question 4

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

Accepted Answer

Q III and y- axis

Answer

Q III and x- axis

Answer

Q II and x- axis

Answer

Q II and y- axis

Question 5

Which of the following illustrates linear equation in two variables?

Accepted Answer

x+y=5

Answer

y=3

Answer

y+3=0

Answer

x=9

Question 6

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

Accepted Answer

-5

Answer

2

Answer

-2

Answer

5

Question 7

Describe the slope of the given figure.

Accepted Answer

m>0

Answer

m<0

Answer

m=0

Answer

m is undefined

Question 8

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

Accepted Answer

2x + y = 3

Answer

- 2x + y = 3

Answer

2x - y = 3

Answer

-2x - y = 3

Question 9

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

Accepted Answer

y=-2x+4

Answer

y=2x-4

Answer

y=-2x-4

Answer

y=2x+4

Question 10

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

Accepted Answer

coincide

Answer

intersecting lines

Answer

Parallel lines

Answer

All of the above

Question 11

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

Accepted Answer

Dependent

Answer

Independent

Answer

Inconsistent

Answer

None of the above

Question 12

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

Accepted Answer

y=2x-3

Answer

y=12x+3

Answer

y=2x+3

Answer

y=12x-3

Question 13

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

Accepted Answer

x + 2y = 5

2x - y = 4

Answer

x + 2y = 3

2x + 4y = 6

Answer

x + y = 3

x + y = 5

Answer

x - 2y = 5

2x - 4y =10

Question 14

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

Accepted Answer

Both b and c

Answer

Dependent equations

Answer

Independent equations

Answer

Inconsistent equations

Question 15

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

Accepted Answer

1

Answer

0

Answer

2

Answer

infinite

Question 16

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

Accepted Answer

$$3a^3b^3$$

Answer

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

Answer

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

Answer

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

Question 17

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

Accepted Answer

No, because squaring a binomial always produces a trinomial product

Answer

Yes, because squaring a binomial produces a binomial product.

Answer

Yes, because product rule is correctly applied

Answer

No, because the answer must be 4x2+9

Question 18

What makes rational algebraic expression undefined?

Accepted Answer

When the denominator becomes 0

Answer

When the excluded value is equal to 0

Answer

When the numerator becomes 0

Answer

When the value of the given variable is equal to 0

Question 19

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

Accepted Answer

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

Answer

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

Answer

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

Answer

$$10ab^2$$

Question 20

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

Accepted Answer

$$\frac{8}{xy}$$

Answer

$$\frac{15}{xy}$$

Answer

$$\frac{8}{y}$$

Answer

$$\frac{15}{x}$$

Question 21

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

Accepted Answer

$$\frac{5}{6}$$

Answer

$$\frac{5x}{24}$$

Answer

$$\frac{5x}{6}$$

Answer

$$\frac{5}{x}$$

Question 22

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

Accepted Answer

m = -2; b = -3

Answer

m = 2; b = -3

Answer

m = -2; b = 3

Answer

m = 2; b = 3

Question 23

What is the slope of the given figure?

Accepted Answer

$$\frac{3}{2}$$

Answer

3

Answer

-3

Answer

$$-\frac{3}{2}$$

Question 24

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

Accepted Answer

y=4x+3

Answer

y=-4x-3

Answer

y=-4x+3

Answer

y=4x-3

Question 25

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?

Accepted Answer

Php 15

Answer

Php10

Answer

Php 20

Answer

Php 25

Question 26

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?

Accepted Answer

Php 35

Answer

Php 20

Answer

Php 80

Answer

Php 120

Question 27

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

Accepted Answer

2x+y=3

x-4y=9

Answer

x-2y=3

Answer

2x+9y=2

2x-y $$\le$$ 3

Answer

5x-3=7

Question 28

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?

Accepted Answer

No, a is not a common factor

Answer

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

Answer

Yes, the LCD must be eliminated to simplify expressions.

Answer

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

Question 29

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

Accepted Answer

10 , 5

Answer

25, 2

Answer

-25, 2

Answer

10 , -5

Question 30

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

Accepted Answer

$$10x^2+41x+21$$

Answer

$$10x^2+21$$

Answer

7x + 10

Answer

$$7x^2+17x+10$$

Question 31

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

Accepted Answer

x+1

Answer

x-1

Answer

1

Answer

-1

Question 32

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

Accepted Answer

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

Answer

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

Answer

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

Answer

None of the above

Question 33

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

Accepted Answer

$$\frac{3}{x}$$

Answer

x+3

Answer

x-3

Answer

$$\frac{x}{3}$$

Question 34

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 35

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

Accepted Answer

x-y=5

Answer

x+y=5

Answer

x+y=-5

Answer

x-y=-5

Question 36

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

Accepted Answer

y = 3x - 5

Answer

y = 3x + 5

Answer

y = -3x + 5

Answer

y = -3x - 5

Question 37

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 38

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

Accepted Answer

(2x+3) units

Answer

(3x+2) units

Answer

(4x+9) units

Answer

(4x+3) units

Question 39

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

Accepted Answer

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

Answer

a+5

Answer

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

Answer

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

Question 40

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?

Accepted Answer

$$\frac{3}{7}$$

Answer

47 $$\frac{4}{7}$$

Answer

$$\frac{2}{7}$$

Answer

$$\frac{1}{7}$$

Question 41

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

Accepted Answer

y=x-7

Answer

y=x-3

Answer

y=x+3

Answer

y=x+7

Question 42

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 43

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?

Accepted Answer

9 and 6

Answer

7 and 8

Answer

10 and 5

Answer

12 and 3

Question 44

Factor $$a^3+216$$ completely.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 45

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 46

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

Accepted Answer

y= -x + 7

Answer

y= -x + 3

Answer

y= -x - 1

Answer

y= -3x + 4

Question 47

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

Accepted Answer

(3,5)

Answer

(1,8)

Answer

(5,3)

Answer

(2,6)

Question 48

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?

Accepted Answer

Php 67

Answer

Php 60

Answer

Php 65

Answer

Php 66

First Quarter Mathematics 8 Exam

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