Question 1

Which of these expressions is in the form of the sum of two cubes?

Accepted Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Question 2

What are the factors of the expression $m^2$ - 16?

Accepted Answer

(m + 4)(m – 4)

Answer

(m + 4) (m + 4)

Answer

X^{3\ }+\ 27

– 4

Answer

Question 3

Which of the following expressions has factors, 3(g + 1) (g – 1)?

Accepted Answer

X^{3\ }+\ 27

Answer

3(1)(g)

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

– 1

Question 4

Which expression is equivalent to $m^2$ ?

Accepted Answer

(5x + 3) (5x – 3)

Answer

(5x – 3) (5x – 3)

Answer

(10x – 3) (15x + 3)

Answer

25x – 9

Question 5

Which of the following expressions is not a factor of 16x $m^2$ – 81y $^4$ ?

Accepted Answer

4x – 9y

Answer

2x – 3y

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Question 6

Which quadratic expressions give the correct factors?

Accepted Answer

x

X\ +\ 3

+ 7x + 10 = (x + 2) (x + 5)

Answer

x

X\ +\ 3

+ 7x + 10 = (x – 2) (x – 5)

Answer

x

X\ +\ 3

+ 7x + 10 = (x – 2) (x + 5)

Answer

x $m^2$ + 7x + 10 = 7x(x+10)

Question 7

One of the factors of $m^2$ + 12a + 27 is (a + 3). What is the other factor?

Accepted Answer

(a + 9)

Answer

(4 + a)

Answer

(a + 24)

Answer

(a + 3)

Question 8

Which expression has the factors (3m – 5) and ( $m^2$ )?

Accepted Answer

X^{3\ }+\ 27

Answer

3m – 5

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Question 9

What is the greatest common factor of the polynomial 30w $m^2$ + 48w + 12w $^4$ ?

Accepted Answer

6w

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

48w

Question 10

A wall clock has an area of 144 in $m^2$ . If the width measures 12 in, what is the length?

Accepted Answer

12 in

Answer

12

X\ +\ 3

in

^2

Answer

12 in

X\ +\ 3

Answer

144 in

Question 11

Which of the following is an example of a rational algebraic expression?

Accepted Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Question 12

Which of the following terms is described as "the ratio of two polynomial expressions"?

Accepted Answer

rational algebraic expression

Answer

linear algebraic expression

Answer

linear algebraic equation

Answer

rational algebraic equation

Question 13

In the rational algebraic expression $m^2$ , what factor is common to both numerator and denominator?

Accepted Answer

X^{3\ }+\ 27

Answer

x + 1

Answer

x - 1

Answer

Question 14

Which of the following is the simplest form of $m^2$ ?

Accepted Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

Question 15

Which of the following is the simplified form of the rational expression $m^2$ ?

Accepted Answer

1

Answer

-1

Answer

2

Answer

X^{3\ }+\ 27

Question 16

Is the rational expression , $m^2$ in simplest form?

Accepted Answer

No, because the denominator is not factored in completely.

Answer

Yes, because the numerator and the denominator are in the simplest form of a polynomial expression.

Answer

Yes, because the numerator and the denominator have no
common factor.

Answer

No, because the numerator and the denominator have different
degrees.

Question 17

What is the sum of $m^2$

Accepted Answer

X^{3\ }+\ 27

Answer

12x

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Question 18

What is the difference of $m^2$

Accepted Answer

x+6

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

x-6

Question 19

What is the product of the rational algebraic expression $m^2$

Accepted Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Question 20

Which of the following is the quotient of $m^2$

Accepted Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Question 21

The volume of a rectangular cube is $m^2$ + 8 and the product of length and width is $^4$ – 4. What is the measure of its height?

Accepted Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Question 22

What is the equivalent mathematical sentence “One-fourth of a number y multiplied by three-fifths of the number x”?

Accepted Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Question 23

What is the equivalent mathematical sentence for “the difference of fifteen and twice a number y divided by the sum of twenty and thrice a number x”?

Accepted Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Question 24

If you plot the point (3, -11), what would be the correct steps?

Accepted Answer

Move right 3, down 11

Answer

Move up 3, left 11

Answer

Move right 3, up 11

Answer

Move + 3 and - 11

Question 25

What is the vertical line of the rectangular coordinate system?

Accepted Answer

y-axis

Answer

Axes

Answer

Q-3

Answer

x-axis

Question 26

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

Accepted Answer

3x + 2y = 11

Answer

2x+ 3 = 0

Answer

Answer

X^{3\ }+\ 27

Question 27

What is the slope of the line whose equation is y= -5x - 6?

Accepted Answer

-5

Answer

6

Answer

-6

Answer

5

Question 28

Which of the following linear equations has a negative slope?

Accepted Answer

5x + y =10

Answer

x - y = 4

Answer

-2y = -6x +4

Answer

y = x + 1

Question 29

Which describes the graph of a linear equation with a negative slope?

Accepted Answer

Increasing from right to left

Answer

Horizontal line

Answer

Vertical line

Answer

Increasing from left to right

Question 30

Which is the slope of the given points (8, 5) and (12, 25)?

Accepted Answer

5

Answer

X^{3\ }+\ 27

Answer

Answer

-5

Question 31

Which of the following is the standard form of $m^2$

Accepted Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

Question 32

Rewrite - 2x + y = 10 in slope-intercept form.

Accepted Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

Answer

X^{3\ }+\ 27

Question 33

What is the graph of x = 2?

Accepted Answer

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

Answer

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

Answer

Horizontal line that is 2 units above the x-axis

Answer

Horizontal line that is 2 units below the x-axis

Question 34

Which describes the graph of a linear equation with a positive slope?

Accepted Answer

Increasing from left to right

Answer

Increasing from right to left

Answer

Horizontal line

Answer

Vertical line

Question 35

What is the y-intercept of the linear equation 2x − y = 8?

Accepted Answer

(0, - 8)

Answer

(0, 0)

Answer

(0, 2)

Answer

(0, 8)

Question 36

Which ordered pair describes the x-intercept of x − y = 5?

Accepted Answer

D. (5, 0)

Answer

(0, 0)

Answer

(-5, 0)

Answer

(0, 5)

Question 37

At what point will y = 4x −1 pass through?

Accepted Answer

(2, 7)

Answer

(2, −7)

Answer

(4, −1)

Answer

(−2, 9)

Question 38

What are the x- and the y-intercepts of x − y = −2?

Accepted Answer

(-2, 0) and (0, 2)

Answer

(2, 0) and (0, 2)

Answer

(2, 0) and (0, -2)

Answer

(0, 0) and (0, 0)

Question 39

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

Accepted Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

X^{3\ }+\ 27

Answer

Question 40

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

Accepted Answer

y = x - 1

Answer

y = -x + 1

Answer

y = x + 1

Answer

y = x

Question 41

Andy and his friends are going to the amusement park. The park charges a PhP50.00 entrance fee and PhP15.00 per ride. Which of the following equations represents how much Andy will spend after he took several rides?

Accepted Answer

y = 15x + 50

Answer

y = 50 – 15

Answer

y = 50x + 15

Answer

y = 15x – 50

Question 42

Ramon often rides a taxi from one place to another. The flag-down rate in riding a taxi is PhP70 plus PhP5 per kilometer. If he paid PhP100, how many kilometers did he travel?

Accepted Answer

3 km

Answer

4 km

Answer

- 5 km

Answer

6 km

Question 43

Which of the following is an example of systems of linear equations?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 44

Your mother bought 15 packages of hand towels. Some packages have 3 pieces, and some have 6 pieces. There are 30 hand towels altogether. Which pair of linear equations represents the situation?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 45

Which of the graphs below shows that the linear system has infinite number of solutions?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 46

Which of the graphs below shows that the linear system has no solution?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 47

Which of the following systems of linear equation has a graph that are coinciding?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 48

Which system of linear equations is given in the graph below?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 49

Mrs. Rosie bought a kilogram of mango and calamansi for the total amount of ₱75.00. The other day she bought another 2kg of mango and 3kg of calamansi for a total cost ₱185. How much is the price of calamansi per kilogram?

Accepted Answer

₱35

Answer

₱30

Answer

₱36

Answer

₱60

Question 50

Lina is starting a new business in Marikina Wet Market and invested ₱15,000 in two different bank accounts to secure her finances. The first account was at 3% rate, while the second was at 5%. At the end of the first year she earned ₱610. How much was invested in each rate?

Accepted Answer

₱7,000 at 3% & ₱8,000 at 5%

Answer

₱8,000 at 3% & ₱7,000 at 5%

Answer

₱15,000 at 3% & ₱15,000 at 5%

Answer

₱5,000 at 3% & ₱10,000 at 5%

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