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Worksheets

Mastering Polynomials and Linear Equations

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

What type of polynomial is 3x^2 + 2x - 5?

a)

Quadratic polynomial

b)

Linear polynomial

c)

Cubic polynomial

d)

Constant polynomial

2.

Identify the degree of the polynomial 4x^3 - 2x + 7.

a)

2

b)

4

c)

5

d)

3

3.

Add the polynomials (2x^2 + 3x - 4) and (5x^2 - x + 6).

a)

8x^2 + 3x - 1

b)

7x^2 + 2x + 2

c)

5x^2 + 4x + 2

d)

6x^2 + 4x + 3

4.

Subtract the polynomial (6x^2 + 4x - 3) from (2x^2 - 5x + 1).

a)

-2x^2 + 1x - 6

b)

-6x^2 + 5x + 1

c)

-4x^2 - 9x + 4

d)

8x^2 + 9x - 2

5.

Multiply the polynomials (x + 2) and (x - 3).

a)

x^2 - x - 6

b)

x^2 + x + 6

c)

x^2 + 5x - 6

d)

x^2 - 5

6.

Factor the polynomial x^2 - 9.

a)

(x - 3)(x - 3)

b)

(x - 4)(x + 4)

c)

(x - 3)(x + 3)

d)

(x - 9)(x + 1)

7.

What is the result of multiplying (2x + 3) by (x - 1)?

a)

2x^2 + x - 3

b)

2x^2 + 5

c)

2x^2 - 3

d)

x^2 + 3x - 2

8.

Factor the expression 2x^2 + 8x.

a)

x(2x + 8)

b)

4x(x + 2)

c)

2(x^2 + 4x)

d)

2x(x + 4)

9.

Solve the linear equation 3x + 5 = 20.

a)

5

b)

0

c)

15

d)

10

10.

What is the solution to the equation 2x - 4 = 10?

a)

5

b)

10

c)

3

d)

7

11.

If 5x + 2 = 17, what is the value of x?

a)

2

b)

4

c)

5

d)

3

12.

Identify the type of polynomial: 7x^4 - 3x^2 + 2.

a)

linear polynomial

b)

quadratic polynomial

c)

quartic polynomial

d)

cubic polynomial

13.

Add the polynomials (x^2 + 4) and (3x^2 - 2x + 1).

a)

4x^2 + 2x - 1

b)

3x^2 - 2x + 4

c)

4x^2 - 2x + 5

d)

2x^2 + 2x + 3

14.

Subtract (4x^2 + 3x) from (2x^2 - x + 5).

a)

2x^2 + 4x + 5

b)

-2x^2 + 3x + 5

c)

4x^2 - x + 5

d)

-2x^2 - 4x + 5

15.

Multiply (x + 1) by (x^2 - x + 1).

a)

x^3 - 1

b)

x^2 + 1

c)

x^3 + 1

d)

x^3 + x^2 + x

16.

Factor the polynomial x^2 + 5x + 6.

a)

(x + 3)(x + 4)

b)

(x + 1)(x + 6)

c)

(x + 4)(x + 2)

d)

(x + 2)(x + 3)

17.

Solve for y in the equation 2y + 3 = 11.

a)

2

b)

5

c)

4

d)

7

18.

What is the degree of the polynomial 5x^4 - 2x^3 + x?

a)

3

b)

5

c)

2

d)

4

19.

If 4x - 7 = 9, what is the value of x?

a)

3

b)

4

c)

2

d)

5

20.

Factor the expression x^2 - 4x - 12.

a)

(x - 2)(x + 6)

b)

(x - 4)(x + 3)

c)

(x - 6)(x + 2)

d)

(x + 6)(x - 2)