Question 1

Which is a solution of the equation shown by the graph?

Accepted Answer

C. (0, 1)

Answer

D. (0, 0)

Answer

B. (0, -2)

Answer

A. (1, 1)

Question 2

The GCF of 14x⁷ and 10x⁴is...

Accepted Answer

B. 2x4

Answer

C. 2x7

Answer

A. 2x

Answer

D. 10x4

Question 3

Which is the product of 3𝑥²𝑦 and 15𝑥𝑦²?

Accepted Answer

D. 45𝑥³𝑦³

Answer

B. 45𝑥²𝑦²

Answer

C. 60𝑥²𝑦²

Answer

A. 30𝑥²𝑦²

Question 4

Factor 2f² – 6f³.

Accepted Answer

D. 2f² (1 – 3f)

Answer

A. 2f² (f – 3f²)

Answer

C. 3f (1 – 3f)

Answer

B. 2f³(8 – 6f²)

Question 5

Find the GCF of -a⁹b⁵ and -ab⁴

Accepted Answer

A. ab4

Answer

C. b4

Answer

D. a⁹b⁴

Answer

B. a⁹b⁵

Question 6

Factor the polynomial 16x⁹y⁹ – 24x⁶y⁷ – 16x³y².

Accepted Answer

C. 8x³y² (2x⁶y⁷ – 3x³y⁵ – 2)

Answer

D. 8 (2x⁹y⁹ – 3x⁶y⁷ – 2x³y²)

Answer

B. No common factor except 1

Answer

A. 8x⁴y(2x⁶y⁷ – 3x³y⁵– 2)

Question 7

Expand: (x + 3) (x – 3).

Accepted Answer

A. 𝑥² − 9

Answer

B. 𝑥²+ 9

Answer

C. 𝑥2

Answer

D. 9

Question 8

Which of the following does NOT belong to the group?

Accepted Answer

D. x3 + 6

Answer

B. x³ – 216

Answer

A.x3 + 8

Answer

C. 64x³- 27

Question 9

Which mathematical statement is CORRECT?

Accepted Answer

A. a³+ 64 = (a + 4) (a² – 4a + 16)

Answer

C. a³ + 64 = (a + 4)(a² + 4a + 16)

Answer

B. a³ - 64 = (a + 4)(a² – 4a + 16)

Answer

D. a³+ 64 = (a - 4)(a² – 4a + 16)

Question 10

One of the factors of 27 + x³ is (3 + x), what is the other factor?

Accepted Answer

A. (9 – 3x + x²)

Answer

C. (9 – 3x – x²)

Answer

B. (9 + 3x + x²)

Answer

D. (9 + 3x – x²)

Question 11

Which binomial describes the volume of the given figure ?

Accepted Answer

A. x³ - y³

Answer

B. x3+ y3

Answer

C. x3 + y

Answer

D. x + y3

Question 12

What are the factors of 16 + 250a³?

Accepted Answer

C. 2(2 + 5a)(4 – 10a +25a²)

Answer

D. 3(2 – 5a)(4 – 10a +25a²)

Answer

A. 2(2 – 5a)(6 + 10a +25a²)

Answer

B. 3(2 + 5a)(9 + 10a +25a²)

Question 13

Which is a perfect square trinomial?

Accepted Answer

B. c² + 8c + 16

Answer

A. a + 8b + 16

Answer

D. e² + 8e + 4

Answer

C. d² + 4d + 16

Question 14

What are the missing terms in 9h²- _____ + _____= (3h - 4)² ?

Accepted Answer

A. 24h and 16

Answer

D. 144h and 16

Answer

B. 6h and 12

Answer

C. 12h and 4

Question 15

Factor completely 50x² – 60x + 18

Accepted Answer

D. 2(5x - 3)²

Answer

A. 2(5x + 3)²

Answer

C. 2(5x - 3)

Answer

B. 2(25x - 9)²

Question 16

Which expression could be the length of side of a square whose area is given by 16x² + 8x + 1?

Accepted Answer

B. 4x + 1

Answer

C. 8x + 1

Answer

D. 4x² + 1

Answer

A. 16x + 1

Question 17

Which of the following does NOT belong to the group?

Accepted Answer

C. c² + 4c + 4

Answer

B. b² – 9b + 14

Answer

D. d² – 10d + 16

Answer

A. a² + 5a + 6

Question 18

Which expression has the factors (y – 8) and (y + 4)?

Accepted Answer

A. y² – 4y – 32

Answer

B. y² – 4y + 32

Answer

D. y² – 8y + 4

Answer

C. y² + 4y – 32

Question 19

Translate the verbal statement “The sum of two consecutive odd integers” into mathematical statement.

Accepted Answer

A. x + (x + 2)

Answer

C. 2x + 1

Answer

D. x – 3

Answer

B. x + 2

Question 20

The length of a rectangular frame is 4 cm more than its width. The area of the frame is 60 square cm. Translate this situation into an equation.

Accepted Answer

B. w (w + 4) = 60

Answer

D. w (w - 4)2 = 60

Answer

C. 2w (w – 4) = 60

Answer

A. w (w – 4) = 60

Question 21

The total cost c in selling the goods is represented by 2c² – 3c + 1. Factor

Accepted Answer

B.(2c – 1)(c – 1)

Answer

C.(2c – 1)(c – 2)

Answer

A. (2c + 1)(c – 1)

Answer

D. (2c + 1)(c + 1)

Question 22

The side of a square is x meters long. The length of a rectangle is 3 meters longer than the side of the square and the width is 3 meters shorter. Which statement is true?

Accepted Answer

A. The area of the square is greater than the area of the rectangle.

Answer

C. The area of the square is equal to the area of the rectangle.

Answer

B. The area of the square is less than the area of the rectangle.

Answer

D. Any relationship cannot be determined from the given information.

Question 23

The area of the square is represented by 16x² + 16x + 4 square units. Which expression represents the length of the side?

Accepted Answer

A. (4x + 2) units

Answer

D. (2x – 4) units

Answer

B. (2x + 4) units

Answer

C. (4x – 2) units

Question 24

Which of the following is a rational expression?

Accepted Answer

C. 𝑥² − $\sqrt{25}$

Answer

B. 3𝑥^1/2+ 𝑥 + 1

Answer

D. $\sqrt{x}$ − 1

Answer

A. 𝑥⁻² − 3x

Question 25

What is the restriction on the rational expression $\sqrt{x}$ ?

Accepted Answer

A. 𝑥 ≠ $\sqrt{x}$ , 0

Answer

D. 𝑥 ≠ - $\sqrt{x}$ only

Answer

C. 𝑥 ≠ $\sqrt{x}$ only

Answer

B. 𝑥 ≠- $\sqrt{x}$ , 0

Question 26

For what value(s) of x is the expression $\sqrt{x}$ undefined?

Accepted Answer

C. 0,1

Answer

B. -1,0,1

Answer

D.  x=2

Answer

A. -1,1

Question 27

What is the least common denominator of $\sqrt{x}$ and $\sqrt{25}$ ?

Accepted Answer

C. 35x4

Answer

B. 35x5

Answer

D.  35x2

Answer

A. 35x3

Question 28

What is the equivalent fraction of the rational expression $\sqrt{x}$ and $\sqrt{25}$ ?

Accepted Answer

B. $\sqrt{x}$ and $\sqrt{25}$

Answer

A. $\sqrt{x}$ and $\sqrt{25}$

Answer

D. $\sqrt{x}$ and $\sqrt{25}$

Answer

C. $\sqrt{x}$ and $\sqrt{25}$

Question 29

What is the horizontal line of the rectangular coordinate system?

Accepted Answer

C. x-axis

Answer

A. Axes

Answer

D. y-axis

Answer

B. Quadrants

Question 30

What is the first number in an ordered pair?

Accepted Answer

A. Abscissa

Answer

D. Quadrants

Answer

C. Ordinate

Answer

B. Coordinates

Question 31

What is the value of a in the equation 3x + 4y = 2 ?

Accepted Answer

C. 3

Answer

A. 0

Answer

B. 2

Answer

D. 4

Question 32

Which of the following is an example of linear equation in two variables?

Accepted Answer

D. x + 3y = −1

Answer

A. x + 3 y² = −1

Answer

C. x^1/2+ 4x = 0

Answer

B. x² + y² =1

Question 33

What is the slope of the line defined by the equation y = 3x − $\sqrt{x}$ ?

Accepted Answer

D. 3

Answer

B. $\sqrt{x}$

Answer

A. -3

Answer

C. 2

Question 34

What is y=9x -10 in standard form?

Accepted Answer

B. 9x − y =10

Answer

D. 9x − y = −10

Answer

C. 9x + y = −10

Answer

A. 9x + y = 10

Question 35

What is the graph of linear equation in two variables?

Accepted Answer

D. Straight line

Answer

B. Curve line

Answer

A. Circle

Answer

C. Parabola

Question 36

What is the graph of x = 2?

Accepted Answer

A. Vertical line that is 2 units at the right side of the y-axis

Answer

B. Vertical line that is 2 units at the left side of the y-axis

Answer

C. Horizontal line that is 2 units at the above the x-axis

Answer

D. Horizontal line that is 2 units at the below the x-axis

Question 37

What is the slope-intercept form of a linear equation 3x + 2y = 6?

Accepted Answer

A. $\sqrt{x}$

Answer

C. $\sqrt{x}$

Answer

D. $\sqrt{x}$

Answer

B. $\sqrt{x}$

Question 38

Which line passes through the points (-3, -4) and (3, 2)?

Accepted Answer

A. y = x - 1

Answer

B. y = -x + 1

Answer

D. y = -x – 1

Answer

C. y = x + 1

Question 39

Marlon is m years old. Her mother is n years old. The sum of their ages is 60. The difference between their ages is 20. Which system of linear equations will satisfy the given condition?

Accepted Answer

<math>\begin{Bmatrix}
m+ n =60 \
n-m =20
\end{Bmatrix}</math>

Answer

$\begin{Bmatrix}
m+n =60\
m-2n =20
\end{Bmatrix}$

Answer

$\begin{Bmatrix}
m+n =60\
m-2n =20
\end{Bmatrix}$

Answer

none of these

Question 40

Analyn rents a food cart for Php 200.00 and an additional Php 30 per hour thereafter. What equation represent this situation?

Accepted Answer

C. y = 30x + 200

Answer

A. y = 200x + 30

Answer

B. y = 200x – 30

Answer

D. y = 30x – 200

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