Question 1

Factor the given polynomials:4x²+6x+8

Accepted Answer

2(2x²+3x+4)

Answer

(x+4) (x−1) (x²-x-1)

Answer

2(x²+3x-4)

Answer

x²+2-4(x+1)

Question 2

Factor the given binomial: 3x²+6x

Accepted Answer

3x(x+2)

Answer

3x(x-2)

Answer

(3x3+1)

Answer

3x(x4+2)

Question 3

Factor the expression completely: 2x²+ 4x – 16

Accepted Answer

2(x- 2)(x+ 4)

Answer

2x(x- 2)(x+ 4)

Answer

2(x+ 2)(x- 4)

Answer

2(x+4)(x-4)

Question 4

Factor by grouping: 7x+7x³+x⁴+x⁶

Accepted Answer

x(1+x²)(7+x³)

Answer

x(1+x²)(6+x³)

Answer

7x(1+x²)(7+x³)

Answer

2x(1+2x²)(4+x³)

Question 5

Factor by grouping: 18x+33−6x⁴−11x³

Accepted Answer

(6x+11)(3-x³)

Answer

(9+x²)(1+x³)

Answer

(6x+x²)(3+x³)

Answer

(6x+4)(2-x³)

Question 6

A rectangle has sides of length x+5 and x−3. What is x if the area of therectangle is 48?

Accepted Answer

x=7

Answer

x=9

Answer

x=12

Answer

x=10

Question 7

Fraction whose numerator and denominator are ____________ is called rational algebraic expression.

Accepted Answer

Polynomial

Answer

Rational expression

Answer

Simplifying

Answer

Excluded value

Question 8

What type of expression is

Accepted Answer

Rational algebraic expression

Answer

excluded value

Answer

Irrational algebraic expression

Answer

none of the above

Question 9

Simplify

Accepted Answer

Rational algebraic expression

Answer

Irrational algebraic expression

Answer

none of the above

Answer

excluded value

Question 10

Simplify

Accepted Answer

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Answer

-2x-5

Answer

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Answer

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Question 11

Subtract:

Accepted Answer

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Answer

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Answer

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Answer

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Question 12

Perform the operation/s asked:

Accepted Answer

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Answer

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Answer

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Answer

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Question 13

Simplify:

Accepted Answer

-1

Answer

1

Answer

3x-9

Answer

3x-x2

Question 14

Solve the given rational equations:

Accepted Answer

x=5

Answer

x=6

Answer

x=4

Answer

x=7

Question 15

Theson’s age is one-fifth of his mother’s age. In 10 years, she will be 2/5 of hismother’s age. How old is the mother?

Accepted Answer

x=30

Answer

x=29

Answer

x=31

Answer

x=38

Question 16

The denominator of a fraction is 3 more than the numerator. If both the numerator and denominator are increased by 2, the resulting fraction is 2/3. Find the fraction.

Accepted Answer

4/7

Answer

2/3

Answer

3/8

Answer

½

Question 17

In quadrant IV of rectangular coordinate system, x is always _______ and y is always _______

Accepted Answer

positive, negative

Answer

negative, positive

Answer

positive, positive

Answer

negative, negative

Question 18

The x‐axis and y‐axis separate the coordinate plane into four regions called _________.

b. Coordinates d.Origin

Accepted Answer

Quadrants

Answer

Origin

Answer

Ordered pairs

Answer

Coordinates

Question 19

What is the coefficient/s of the linear equation 4x-5y = 24?

Accepted Answer

4 and -5

Answer

4 and 24

Answer

24 only

Answer

4 only

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