Quiz about Polynomials: Practice

Question 1

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

Accepted Answer

3x, -9x

Answer

7, 24y

Answer

3x, 9x

Answer

3x, -9x, 2x²

Question 2

Simplify by combining like terms:
5a + 2b - 3a + 4

Accepted Answer

2a + 2b + 4

Answer

8a + 2b + 4

Answer

8ab

Answer

4ab + 4

Question 3

Simplify the expression: 7v + 2 + 12 + 2v

Accepted Answer

9v + 14

Answer

23

Answer

23v

Answer

9 + 14v

Question 4

Simplify the following expression:
-10x + 15 - 3x + 2

Accepted Answer

-13x + 17

Answer

13x2 + 17

Answer

-13x² + 13

Answer

-7x + 17

Question 5

Simplify the following expression:
-6x + 4(-x - 3)

Accepted Answer

-10x - 12

Answer

-2x - 12

Answer

10x + 12

Answer

-2x + 12

Question 6

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

Accepted Answer

-47b -19

Answer

-33b + 19

Answer

-47b² + 21

Answer

33b - 19

Question 7

Find the product:
(5n-8)(5n+8)

Accepted Answer

25n2-64

Answer

10n2

Answer

5n2+16

Answer

16

Question 8

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

Accepted Answer

-2x² + 11x -4

Answer

2x²+ 3x +1

Answer

-2x²- 11x -4

Answer

2x² + 5x -7

Question 9

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 10

Simplify:
(3x - 5) ( 4x² - 2x - 3)

Accepted Answer

12x³ - 26x² + x + 15

Answer

12x³ - 26x² - 25x + 15

Answer

12x³ - 20x² - 5x + 15

Answer

12x³ - 20x² - 6x + 15

Question 11

A rectangle has width (2x + 3) and length (2x - 4).

What is the perimeter of the rectangle?

Accepted Answer

8x - 2

Answer

$$4x^2+2x-12$$

Answer

4x - 1

Answer

4x²- 2x - 12

Answer

$$8x+14$$

Question 12

$$\frac{\left(8x^4+6x^3-10x^2\right)}{2x^2}$$

Accepted Answer

$$4x^2+3x-5$$

Answer

$$4x^2+3x^{1.5}-5x$$

Answer

$$6x^2+4x-12$$

Answer

$$6x^2+4x^{1.5}-12x$$

Answer

$$4x^2+3x-5x$$

Question 13

$$\frac{\left(x^6y^8-x^4y^6+x^2y^4\right)}{x^2y^2}$$

Accepted Answer

$$x^4y^6-x^2y^4+y^2$$

Answer

$$x^3y^4-x^2y^3+xy^2$$

Answer

$$x^8y^{10}-x^6y^8+x^4y^6$$

Answer

$$0x^4y^6-0x^2y^4+0y^2$$

Question 14

Simplify, Final answer should be in standard form

$$(x-5)^2$$

Accepted Answer

$$x^2-10x+25$$

Answer

$$x^2+25$$

Answer

$$x^2-25$$

Answer

$$x^2+10x+25$$

Answer

$$x^2-10x-25$$

Question 15

A rectangle has width (2x + 3) and length (2x - 4).

What is the AREA of the rectangle?

Accepted Answer

4x²- 2x - 12

Answer

$$4x^2+2x-12$$

Answer

4x - 1

Answer

8x - 2

Answer

$$8x+14$$

Question 16

Find the product:
(2x+3)²

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 17

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

Accepted Answer

3y³+ 7y²- 4y + 3

Answer

4y² + 3y³ - y + 3

Answer

-y⁴ + 2y³-y - 4

Answer

4y³+ 3y²-3y + 1

Question 18

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 19

Multiply. (b + 3)(b²+ 2b + 1)

Accepted Answer

b³+ 5b²+ 7b + 3

Answer

b³+ 6b²+ 6b + 3

Answer

4b³+ 8b²+ 3b

Answer

3b³+ 6b²+ 3b

Question 20

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

Accepted Answer

4x⁴- 9x³- 10x²- 24

Answer

4x⁴- 9x³ - 10x²- 2x - 24

Answer

4x⁴ - 9x³ - 10x² + 2x - 24

Answer

-4x⁴ - 9x³ - 10x² - 24

Question 21

What is the perimeter for the given rectangle:

Accepted Answer

6x² + 4x + 4

Answer

6x³ - 9x² + 10x - 15

Answer

6x² + 1x - 15

Answer

6x³ + 1x² - 15x

Question 22

(2x + 3)(x² + 4x + 1)

Accepted Answer

2x³ + 11x² + 14x + 3

Answer

2x³ + 10x² + 14x + 4

Answer

-2x³ - 11x² + 14x + 5

Answer

x³ - 11x² + 14x + 3

Question 23

What type of polynomial is
4x² - 21x + 5

Accepted Answer

Trinomial

Answer

Monomial

Answer

Binomial

Answer

Quadranomial

Question 24

Simplify the expression
(x - 3)²

Accepted Answer

x² - 6x + 9

Answer

x2 + 9

Answer

x² + 6x - 9

Answer

x² + 6x + 9

Question 25

Question 25.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 26

Question 26.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 27

Question 27.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 28

Multiply 7x²y³ (2x⁴y⁵+ 6xy³)

Accepted Answer

14x⁶y⁸+ 42x³y⁶

Answer

14x⁸y¹⁵+ 42x²y⁹

Answer

9x⁶y⁸+ 13x³y⁶

Answer

14x⁶y⁸+ 42x²y⁶

Question 29

(2x+3)2

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 30

(2x+6)(2x-6)

Accepted Answer

4x2-36

Answer

4x²+24x-36

Answer

6x+12

Answer

2x+6+2x-6

Question 31

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 32

Find the product.
(2y - 7)(3y + 5)

Accepted Answer

6y² -11y -35

Answer

y²+ 2y + 4

Answer

-35 -11y + 6y²

Answer

2y²-17y +30

Question 33

(x - 4)(x - 6)

Accepted Answer

x² -10x + 24

Answer

x² - 10x - 24

Answer

x² +10x + 24

Answer

x² + 10x - 24

Question 34

Simplify. Write your answer in standard form. (2x²- 4y + 7xy - 6y²) - (-3x²+ 5y - 4xy + y²)

Accepted Answer

5x² - 9y + 11xy - 7y

Answer

-5x² +9y -11xy+ 7y²

Answer

-x² + y + 3xy - 5y²

Answer

-x² - 9y + 11xy - 7y²

Question 35

What is the standard form of the polynomial?

9x² + 5x + 27 + 2x³

Accepted Answer

2x³ + 9x² + 5x + 27

Answer

27 + 5x + 9x² + 2x³

Answer

9x² + 5x + 2x³ + 27

Answer

9x² + 5x + 27 + 2x³

Question 36

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

Accepted Answer

3y³+ 7y²- 4y + 3

Answer

4y² + 3y³ - y + 3

Answer

-y⁴ + 2y³-y - 4

Answer

4y³+ 3y²-3y + 1

Question 37

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 38

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

Accepted Answer

4x⁴- 9x³- 10x²- 24

Answer

4x⁴- 9x³ - 10x²- 2x - 24

Answer

4x⁴ - 9x³ - 10x² + 2x - 24

Answer

-4x⁴ - 9x³ - 10x² - 24

Question 39

Find the product:
(2x+3)²

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 40

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 41

What is the perimeter of the rectangle?

Accepted Answer

$$20x\ -\ 8$$

Answer

$$25x^{2\ }-\ 20x$$

Answer

$$10x-4$$

Answer

44

Question 42

What is the area of the ractangle?

Accepted Answer

$$25x^{2\ }-\ 20x$$

Answer

$$20x\ -\ 8$$

Answer

$$10x\ -\ 4$$

Answer

44

Question 43

$$365^0=$$

Accepted Answer

1

Answer

0

Answer

365

Answer

$$\frac{1}{365}$$

Question 44

Simplify: 7p⁰

Accepted Answer

7

Answer

1

Answer

simplified

Answer

7p

Question 45

$$7x^0\cdot\ 5x^{3\ }$$

Accepted Answer

$$35x^3$$

Answer

$$35x^4$$

Answer

$$2x^3$$

Answer

$$35x^2$$

Question 46

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 47

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 48

Multiply using the 'FOIL' method.

( 3x + 5 ) ( 2x + 3 )

Accepted Answer

6x² + 19x + 15

Answer

6x2 + 19x

Answer

6x2 + 15

Answer

6x² + 19x + 8

Question 49

Find the product.

( 2x - 5y ) ( 3x + 4y )

Accepted Answer

6x² - 7xy - 20y²

Answer

6x² + 7xy - 20y²

Answer

6x² - 7xy + 20y²

Answer

6x² - 20y²

Question 50

Find the product: (3x - 2)²

Accepted Answer

9x² - 12x + 4

Answer

2x+3+2x+3

Answer

9x² + 12x + 4

Answer

16x²+ 12x + 4

Question 51

Multiply.
(b+3)(b²+2b+1)

Accepted Answer

b³+5b²+7b+3

Answer

b³+6b²+6b+3

Answer

4b³+8b²+3b

Answer

3b³+6b²+3b

Question 52

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

Accepted Answer

3y³+ 7y²- 4y + 3

Answer

4y² + 3y³ - y + 3

Answer

-y⁴ + 2y³-y - 4

Answer

4y³+ 3y²-3y + 1

Question 53

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

Accepted Answer

-x²-6x + 8

Answer

x_² + 6x + 8

Answer

2x²+ 5x - 7

Answer

-2x² + 11x - 4

Question 54

Simplify the expression.
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 55

Find the product:
(2x+3)²

Accepted Answer

4x2+12x+9

Answer

2x+3+2x+3

Answer

4x2+9

Answer

16x2+9

Question 56

Multiply.
(b+3)(b²+2b+1)

Accepted Answer

b³+5b²+7b+3

Answer

b³+6b²+6b+3

Answer

4b³+8b²+3b

Answer

3b³+6b²+3b

Question 57

Factor
n² + 16n + 63

Accepted Answer

(n+7)(n+9)

Answer

(n-7)(n+4)

Answer

(n+7)(n-9)

Answer

(n-3)(n-10)

Question 58

Factor
3v² - 4v - 7

Accepted Answer

(3v-7)(v+1)

Answer

3(v-7)(v-1)

Answer

(3v+1)(v-9)

Answer

(3v+1)(v-10)

Question 59

Factor
4n²-17n+15

Accepted Answer

(n-5)(4n+3)

Answer

(n-10)(6n+1)

Answer

(4n-5)(n-3)

Answer

(n-5)(4n-3)

Question 60

Factor
9x²-6x-8

Accepted Answer

(3x+2)(3x-4)

Answer

(3x+2)(3x+4)

Answer

(3x-2)(3x-4)

Answer

(x-1)(9x+8)

Question 61

17xy - x

Accepted Answer

x(17y - 1)

Answer

17(xy - x)

Answer

y(17x - x)

Answer

not factorable

Question 62

How many terms are in a binomial??!

Accepted Answer

2

Answer

4

Answer

None

Answer

3

Question 63

Simplify
2(4x+5)

Accepted Answer

8x+10

Answer

8x-10

Answer

8x+10x

Answer

None of the above

Question 64

How many terms are in trinomial??

Accepted Answer

3

Answer

None

Answer

2

Answer

4

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