Question 1

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

Accepted Answer

$x^3$ $+\ 27$

Answer

Answer

Answer

Question 2

The correct factors of $x^2-4$ are__________.

Accepted Answer

<math>\left(x+2\right)\left(x-2\right)</math>

Answer

<math>\left(x\right)\left(x+2\right)</math>

Answer

<math>\left(x+2\right)\left(x+2\right)_{ }</math>

Answer

<math>\left(x-2\right)\left(x-2\right)</math>

Question 3

What are the factors of the expression m² - 16?

Accepted Answer

<math>\left(m-4\right)\left(m+4\right)</math>

Answer

(m-4)2

Answer

<math>\left(m-4\right)\left(m-4\right)</math>

Answer

<math>\left(m+4\right)\left(m+4\right)</math>

Question 4

Which of the following mathematical expressions contain factors 3(g + 1)(g – 1)?

Accepted Answer

Answer

Answer

Answer

Question 5

Which expression is equivalent to 25x²– 9?

Accepted Answer

<math>\left(5x+3\right)\left(5x-3\right)</math>

Answer

<math>\left(5x+3\right)\left(5x+3\right)</math>

Answer

<math>\left(5x-3\right)\left(5x-3\right)</math>

Answer

<math>\left(10x-9\right)\left(10x-9\right)</math>

Question 6

Which mathematical statement is correct?

Accepted Answer

x² + 7x + 10 = (x + 2)(x + 5)

Answer

x² + 7x + 10 = (x+10)(x+7)

Answer

x² + 7x + 10 = (x – 2)(x – 5)

Answer

x² + 7x + 10 = (x – 2)(x + 5)

Question 7

One of the factors of a² + 12a + 27is (a + 3). What is the other factor?

Accepted Answer

(a + 9)

Answer

(a + 4)

Answer

(a + 3

Answer

(a + 24)

Question 8

Factors of 27m³ – 1 are __________.

Accepted Answer

(3m – 1)(9m² + 3m + 1)

Answer

(3m + 1) and (9m² - 3m + 1)

Answer

(3m + 1) and (9m² + 3m + 1)

Answer

(3m – 1) and (9m² - 3m + 1)

Question 9

Which expression has the factors (3m – 1) and (9m² + 3m + 1)?

Accepted Answer

27m³ – 1

Answer

9m2 + 2

Answer

9m2 – 2

Answer

27m3 + 1

Question 10

What is the greatest common factor (GCF) of the polynomial 30w³ + 48w + 12w²?

Accepted Answer

6w

Answer

6w2

Answer

12w

Answer

12w3

Question 11

The area of the rectangular table at the mini school canteen is (x²+5x+6) m². What are the dimensions?

Accepted Answer

<math>\left(x+2\right)m\ by\ \left(x+3\right)m</math>

Answer

<math>\left(x+1\right)m\ by\ \left(x-6\right)m</math>

Answer

<math>\left(x+1\right)m\ by\ \left(x+6\right)m</math>

Answer

<math>\left(x-2\right)m\ by\ \left(x+3\right)m</math>

Question 12

What is the length of one side of a square notebook if its area is (4x²+4x+1)m²?

Accepted Answer

<math>\left(2x+1\right)m</math>

Answer

<math>\left(2x-1\right)m</math>

Answer

<math>\left(4x+1\right)m</math>

Answer

<math>\left(4x-1\right)m</math>

Question 13

Which is an example of rational algebraic expression?

Accepted Answer

Answer

Answer

Answer

Question 14

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

Accepted Answer

rational algebraic expression

Answer

rational algebraic equation

Answer

linear algebraic equation

Answer

linear algebraic expression

Question 15

In the rational algebraic expression $x^2-4$ , what term is to be canceled out to reduce it to its simplest form?

Accepted Answer

x+2

Answer

x

Answer

2x

Answer

x-2

Question 16

Simplify $x^2-4$

Accepted Answer

Answer

Answer

Answer

Question 17

Is the rational algebraic expression $x^2-4$ in simplest form?

Accepted Answer

No, because the denominator is not factored completely.

Answer

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

Answer

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

Answer

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

Question 18

How many restrictions are there in the rational algebraic expression $x^2-4$ ?

Accepted Answer

2

Answer

1

Answer

0

Answer

3

Question 19

Given Set A=(-1, 0, 1, 2), which of them is the restricted value of the rational algebraic expression

$+\ 27$ ?

Accepted Answer

2

Answer

0

Answer

1

Answer

-1

Question 20

What is the domain of the rational algebraic expression $x^2-4$ ?

Accepted Answer

All real numbers except 6.

Answer

All real numbers except 0.

Answer

All real numbers except -6.

Answer

All real numbers except 26.

Question 21

What is the sum of $x^2-4$ ?

Accepted Answer

Answer

Answer

Answer

Question 22

What is the difference of $x^2-4$ and $\frac{36}{x-6}$ ?

Accepted Answer

Answer

Answer

Answer

Question 23

What is the product of the rational algebraic expressions $x^2-4$ and $\frac{36}{x-6}$ ?

Accepted Answer

Answer

Answer

Answer

Question 24

Perform the indicated operation:

$+\ 27$

Accepted Answer

Answer

Answer

Answer

Question 25

The volume of a rectangular cube is $x^2-4$ and the product of length and width is $\frac{36}{x-6}$ . What is the measure of its height?

Accepted Answer

Answer

Answer

Answer

Question 26

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

Accepted Answer

Right 3, down 11

Answer

Down 3, left 11

Answer

Right 3, up 11

Answer

Up 3, left 11

Question 27

What is the vertical line of the rectangular coordinate system?

Accepted Answer

y-axis

Answer

Quadrants

Answer

Axes

Answer

x-axis

Question 28

In what quadrant do you locate $x^2-4$ ?

Accepted Answer

QIII

Answer

QII

Answer

QI

Answer

QIV

Question 29

How many quadrants do we have in the rectangular coordinate system?

Accepted Answer

4

Answer

1

Answer

3

Answer

2

Question 30

What is the horizontal line of the rectangular coordinate system?

Accepted Answer

x-axis

Answer

axes

Answer

y-axis

Answer

quadrants

Question 31

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

Accepted Answer

Answer

Answer

Answer

Question 32

What is the slope of the line whose equation is $x^2-4$ ?

Accepted Answer

-5

Answer

-6

Answer

6

Answer

5

Question 33

What is the point at which the y-intercept of the linear equation $x^2-4$ is found?

Accepted Answer

(0, -8)

Answer

(0, 2)

Answer

(0, -2)

Answer

(0, 8)

Question 34

Which ordered pair describes the x-intercept of $x^2-4$ ?

Accepted Answer

(5, 0)

Answer

(0, -5)

Answer

(-5, 0)

Answer

(0, 5)

Question 35

At what point will $x^2-4$ pass through?

Accepted Answer

(2, 7)

Answer

(-2, 7)

Answer

(-2, 9)

Answer

(2, 8)

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