Free Printable Geometry Unit 1 Polynomial Test

1.

$Given:\ 4x^2-6x+12$ Match the following:

a)

Number of terms

1.

2

b)

Leading Coefficient

2.

3

c)

Constant

3.

4

d)

Degree

4.

12

2.

Which algebraic expressions are polynomials?

a)

$\pi x-\sqrt{3}+5y$

b)

$x^2y^2-4x^3+12y$

c)

$\frac{4}{x}-x^2$

d)

$\sqrt{x}-16$

e)

$3.9x^3-4.1x^2+7.3$

3.

The polynomial 3x² is a _____ with a degree of __.

a)

monomial; 2

b)

monomial; 3

c)

constant; 2

d)

binomial; 2

4.

Classify by the degree and number of terms

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

a)

Quartic Polynomial

b)

Quartic Trinomial

c)

Quadratic Trinomial

d)

Quadratic Ploynomial

5.

What is the leading coefficient

$2x\ -5x^3+3x^2-9$

a)

-9

b)

2

c)

5

d)

-5

6.

What is the degree of the expression

$2x-5x^3+3x^2-9$

a)

0

b)

1

c)

2

d)

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.

A polynomial that has two terms is a:

a)

polynomial

b)

monomial

c)

binomial

9.

Find the sum.
(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

10.

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

a)

3a² + 2a - 1

b)

a²+ 8a + 7

c)

3a²+ 8a + 7

d)

a² + 2a - 1

11.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

12.

The perimeter of the triangle is 3x³ + 4x² + 8x + 15. If the shortest side is 2x² + 12x, the longest side (the hypotenuse) is x³ – 8x + 7, then what is the missing side length?

a)

2x³ + 2x² + 4x + 8

b)

4x³ + 6x² + 12x + 22

c)

2x³ + 6x² + 28x + 8

d)

4x³ + 2x² - 12x + 22

13.

Tori is making a triangle-shaped pennant for her friend. Two sides measure 3x+5 inches and the last side is 2x+1 inches. Help Tori find the perimeter of the pennant.

14.

Match the following:

a)

Monomial

1.

( $-2x$ )

b)

Binomial

2.

( $3x^2+7$ )

c)

Trinomial

3.

( $5x^2+7x-10$ )

d)

Polynomial

4.

( $8x^4+7x^2+3x-9$ )

15.

Find the area, in feet, of the shape.

16.

Subtract the following polynomials:

$(6x^2+10x-9)-(4x^2-13)$

a)

$2x^2+10x-22$

b)

$10x^2+10x-22$

c)

$2x^2+10x-4$

d)

$2x^2+10x+4$

17.

Mult (6x + 3)(x + 2)

a)

5x² + 15x + 6

b)

6x² + 15x + 5

c)

6x² + 12x + 6

d)

6x² + 15x + 6

18.

A triangle has three sides with the following lengths: 2x+1 units, 3x+5 units, and 4x-1 units. Write a simplified algebraic expression for the PERIMETER of the triangle.

19.

John and Calvin started their own lawn care business. John made $4x^3-2x+6$ dollars while Calvin made $5x+2x^3+2\$ dollars. How much more money did John make than Calvin?

20.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

21.

5x(2x³+6)

a)

10x⁴+30x

b)

10x³+30x

c)

7x⁴+11x

22.

Simplify the expression

(x - 3)²

a)

x² - 6x + 9

b)

x² + 9

c)

x² + 6x - 9

d)

x² + 6x + 9

23.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

24.

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

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

25.

Multiply: 5a²(7a³- 4a² + a - 2)

a)

35a⁵ - 20a⁴ + 5a³ - 10a²

b)

12a⁵ - 9a⁴ +5a³ - 7a²

c)

35a⁶ -20a⁴ + 5a² - 10

26.

Find the area of a rectangle with length (x-5) and width (3x+1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

27.

a)

z + 6

b)

z + 11

c)

3z + 11

d)

3z + 8

28.

Aston installs a winter pool cover for a rectangular pool at his house. The cover is $2x^2-3x+4$ feet long and $x^3+5$ feet wide. What is the area of the pool cover?

29.

Bob mowed $2x^2+5x-3$ yards on Monday, $4x-7$ yards on Tuesday, and $3x^2+10\$ yards on Wednesday. In terms of x, how many yards did he mow in the three days?

30.

In the same week as Bob, Steve mowed $3x^3+2x^2-15x+2$ yards on Monday, no yards on Tuesday, and $4x^3-5x^2+5$ yards on Wednesday. In terms of x, how many yards did he mow in the three days?

31.

How many yards did Bob and Steve mow together?

Geometry Unit 1 Polynomial Test

Total questions: 31

Worksheet time: 1hrs 3mins

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