Free Printable Algebra 1: Topic 7-1 to 7-3 (Multiply Polynomials )

1.

Classify this polynomial by its degree and number of terms: x² + 6

a)

Linear, polynomial

b)

Quadratic, trinomial

c)

Quadratic, binomial

d)

Cubic, binomial

2.

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

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

3.

Multiply: (x+3)(x-1)

a)

x²+2x-3

b)

x²-3x+2

c)

x²+4x+3

d)

x²+3x+4

4.

Classify the polynomial 3x²-4x+2

a)

Cubic Binomial

b)

Quadratic Trinomial

c)

Cubic Trinomial

d)

Quadratic Polynomial

5.

Multiply: (3x-1)(2x+4)

a)

5x²-10x-4

b)

6x²+14x+4

c)

6x²+10x-4

d)

6x²+14x-4

6.

Find the difference
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

7.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

8.

Find the product:
-3x²(5x² + 3x)

a)

-15x⁴ - 9x²

b)

-15x⁴ - 9x³

c)

15x⁴ - 6x³

d)

-15x⁴ + 9x³

9.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

10.

What is the Area?

a)

$2x^2-3x-18$ sq, in.

b)

$2x^2+3x+18$ sq. in.

c)

$2x^2+9x-18$ sq. in.

d)

$2x^2-9x-18$ sq. in.

11.

The perimeter of the
triangle is $10x+20$ . Find the length of the missing side.

a)

$6x+10$

b)

$15x+30$

c)

$5x+10$

d)

$5x-10$

12.

Which rectangle diagram is correct for the product (x+3)(x+6)?

a)

a

b)

b

c)

c

13.

What is the degree of the polynomial 4x³ - 2x² + x - 5?

a)

1

b)

2

c)

3

d)

4

14.

Expand the product: (x - 2)(x + 3)

a)

x² + x - 6

b)

x² + 3x - 2

c)

x² + x + 6

d)

x² - x - 6

15.

Simplify the expression: 3(2x - 4) + 4(3x + 1)

a)

18x - 8

b)

14x - 8

c)

14x + 4

d)

18x + 4

16.

Simplify the expression: 4(3x + 5) - 2(2x - 3)

a)

12x + 20 - 4x + 6

b)

8x + 26

c)

8x + 14

d)

12x + 14

17.

Expand and simplify: (2x - 3)(x + 4)

a)

2x^2 + 5x - 12

b)

2x^2 + 8x - 12

c)

2x^2 - x - 12

d)

2x^2 + x - 12

18.

What is the coefficient of x in the polynomial 3x^3 - 5x^2 + 6x - 2?

a)

3

b)

-5

c)

6

d)

-2

19.

Classify this polynomial by its degree and number of terms: x² + 6

a)

Linear, polynomial

b)

Quadratic, trinomial

c)

Quadratic, binomial

d)

Cubic, binomial

20.

Add the following polynomials:

(12x²+ 3x⁴ - 6x - 2) + (-3x⁴ + 5x + 9 - 7x²)

a)

5x² - x + 7

b)

6x⁴+ 5x² - x + 7

c)

6x⁴+ 5x² - x + 11

d)

5x² + 11x + 11

21.

Subtract the following polynomials:

(6x²+ 10x - 9) - (4x² - 13)

a)

2x² + 10x - 22

b)

10x² + 10x - 22

c)

2x² + 10x - 4

d)

2x² + 10x + 4

22.

Which answer properly places the polynomial in the correct descending order?

$6x^2+7x^4+5x^3+15-8x$

a)

$7x^4-8x+6x^2-5x^3+15$

b)

$5x^3+7x^4-8x+6x^2+15$

c)

$15-8x+7x^4+6x^2+5x^3$

d)

$7x^4+5x^3+6x^2-8x+15$

23.

What is the degree of the polynomial

$7x^4-8x^6+2x^2-10$

a)

4

b)

6

c)

2

d)

0

24.

What is the degree of the polynomial

$10x^3-7x^2+9x^5-x^8+7$

a)

3

b)

2

c)

5

d)

8

25.

What is the name of the polynomial shown?

$7x^3+5x^2-8x+10$

a)

Cubic

b)

Quartic

c)

Quadratic

d)

Zero

26.

Name the following polynomial

$5x^2+2x-10$

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial with degree of 0

27.

Name the following polynomial

$7x^3y^2$

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial with degree of 0

28.

Name the polynomial and the number of terms

$8x^2+6x-16$

a)

Trinomial with 3 terms

b)

Binomial with 2 terms

c)

Polynomial with 4 terms

d)

Monomial with 2 terms

29.

Name the polynomial and the number of terms

$-12x^4$

a)

Trinomial with 3 terms

b)

Binomial with 2 terms

c)

Polynomial with 4 terms

d)

Monomial with 1 term

30.

Name the polynomial by degrees and number of terms

$10x^3+7x^2$

a)

Polynomial, 3 degrees, 2 terms

b)

Binomial, 4 degrees, 2 terms

c)

Trinomial, 4 degrees, 2 terms

d)

Monomial, 4 degrees, 1 term

31.

Is 4x⁵y²a monomial?

a)

yes

b)

no

Algebra 1: Topic 7-1 to 7-3 (Multiply Polynomials )

Total questions: 31

Worksheet time: 32mins

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