Free Printable Semester #1 Practice Final (Part 2) (IM2) 23-24

Worksheets

Semester #1 Practice Final (Part 2) (IM2) 23-24

Total questions: 60

Worksheet time: 2hrs 19mins

Name

Class

Date

Classify the polynomial by the number of terms.

7n⁶

Monomial

Binomial

Trinomial

Classify the polynomial expression by the number of terms.

8b² + 10b³

Monomial

Binomial

Trinomial

Classify the polynomial expression by the number of terms.

3a - 5 +a²

Monomial

Binomial

Trinomial

Identify the constant in the polynomial expression.

10a³ - 5a - 7

-5

-7

Identify the leading coefficient in the polynomial expression.

9x² + 8x - 7

-7

Which of the following expressions is in standard form?

n⁴ - 6n³ - 6n² + 4

- 6n³ - 6n² + n⁴ + 4

- 6n² + n⁴ + 4 - 6n³

n⁴ - 6n² + 4 - 6n³

What is the degree of the polynomial?

10x² -10 - 4x⁵- 4x⁴

5x²+ 2x – 3x – 5x

-3x

5x² - 6x

5x²

5x² - 10x

-4x - 10x

-14

-6x

-14x

10.

Combine like terms
3x + 2x + 3y - 7y

5x + 10y

5x + 4y

5x - 4y

5x -10y

11.

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x³ + x

12.

Classify the polynomial expression by terms.
$5x^2-8$

Polynomial

Trionomial

Monomial

Binomial

13.

$5x^2-8+3x$

Classify the polynomial expression by degree.

Degree 0

Degree 1

Degree 2

Degree 3

Degree 4

14.

$-5x^2-8x^3+3x^{ }$

Classify the polynomial expression by degree.

Degree 0

Degree 1

Degree 2

Degree 3

Degree 4

15.

How many terms does the expression below have?

2ab³ + 3a²b⁵ - 5a⁵b³

16.

Classify the polynomial expression by terms.
$7x^3-2x^2+5x-3$

Polynomial

Trionomial

Monomial

Binomial

17.

Identify the number of coefficients and constant term of the following expression: $16x^2-12x+20$

Coefficients: 16, 20
Constant: -12

Coefficients: 16, -12
Constant: 20

Coefficients: -12, 20
Constant: 16

18.

Classify the following polynomial

quadratic trinomial

cubic binomial

19.

Classify the polynomial:
3x² – 8x + 1

quadratic trinomial

cubic trinomial

quadratic binomial

cubic binomial

20.

5x(4x³ + 8)

9x⁴ + 40x

20x⁴ + 40x

20x³ + 40x

9x⁴ + 13x

21.

3a(5a² + 8a + 2)

15a³ + 24a² + 6a

10a³ + 24a + 6

22.

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

8x²-2x-3

8x-3

8x²+6x-3

8x²+2x-3

23.

Multiply
(x+4)(x-2)

x²-2x-8

2x+2

x²+2x-8

x²+6x-8

24.

(4x-1)(x+5)

4x²+21x-5

4x²+19x-5

4x²-19x-5

4x²+19x+5

25.

(n² + 6n − 4)(2n − 4)

2n³ + 16n² − 32n + 16

2n³ + 8n² − 32n + 16

2n³ + 8n² − 12n + 16

2n³ + 8n² − 32n - 16

26.

(x+4)²

(a)

27.

(2m-5)²

(a)

28.

(2v + 3)(4v² - 3v - 6)

(a)

29.

Standard form of a quadratic equation

y=x²

y=ax²+bx+c

y=mx+b

y=x

30.

What is the green dot on the parabola called?

vertex

line of symmetry

solution

function

31.

What is the axis of symmetry?

the slope of the graph

the dividing line for a parabola

a way to spin my pencil

the x-axis

32.

Does the quadratic have a max/min vertex, and does the parabola open up/down?

max/ opens down

min/ opens up

max/ opens up

min/ opens down

33.

Does this parabola have a maximum or minimum and does it open up or down?

Maximum; up

Minimum; down

Maximum; down

Minimum; up

34.

Does this parabola have a minimum or maximum and what is its value? (Hint: the value is related to the range)

minimum: 2

maximum: 2

minimum: 5

maximum: 5

35.

What is the range of this function?

All real numbers.

All real numbers greater than or equal to 0.

All real numbers greater than or equal to -2.

All real numbers greater than or equal to 2.

36.

What is the domain of this function?

All real numbers.

All real numbers greater than or equal to 0.

All real numbers greater than or equal to -2.

All real numbers greater than or equal to 2.

37.

What is the vertex of this quadratic equation?

y = 2(x + 2)² + 5

(-2,5)

(2,5)

(5,-2)

(-5,-2)

38.

What is the vertex of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

39.

What is the y-intercept of this parabola?

(−1, 3)

(−3, 11)

(−2, 5)

(0, 5)

40.

Find the axis of symmetry for f(x) = x² + 4x - 5

x = 2

x = -2

x = 4

x = -4

41.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

x=-8

x=1

x=-1

x=2

42.

What is the vertex of y=x²+4x+3?

(2,1)

(-2,1)

(0,0)

(-2,-1)

43.

Which of the following is a transformation of the graph y = (x - 5)² ?

Shifts right 5.

Shifts left 5.

Shifts up 5.

Shifts down 5.

44.

Which of the following is a transformation of the graph y = x² + 4 ?

Shifts left 4.

Shifts right 4.

Shifts up 4.

Shifts down 4.

45.

y = -(x + 1)² - 4

y = -(x + 1)² + 4

y = -(x - 1)² - 4

y = (x + 1)² + 4

46.

y = (x - 2)² + 2

y = (x + 2)² + 2

y = (x - 2)² - 2

y = -(x - 2)² + 2

47.

$y=-3(x+5)^2-4$
Convert the equation from vertex form to standard form.

y = 9x²- 15x + 21

y = -3x²- 75x - 4

y = 9x²+ 90x + 221

y = -3x²- 30x - 79

48.

$y=-5(x+2)^2-10$
Convert the equation from vertex form to standard form.

y = -5x²- 20x - 30

y = -5x²- 4x - 10

y = 25x² + 100x + 90

y = 25x² - 10x - 30

49.

$y=-5(x-1)^2+4$
Convert the equation from vertex form to standard form.
Use the ^ (shift 6) to show the power (no spaces)

(a)

50.

The x-intercepts of a quadratic equation are known as the _____.

vertices

squares

zeros

formulas

51.

Name the x-intercept(s)?

(0, 0)

(2, 4)

(0, 0) and (0, 4)

(0, 0) and (4, 0)

52.

What are the zeros?

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

53.

Find the y-intercept of f(x) = 2x²- 2x + 1

-2

-1

54.

What is another word for zeros?

y-intercepts

roots

vertex

axis of symmetry

55.

Find the solution(s) of the function.

x = -3 and x=5

x = 3 and x=5

x = -3 and x=-5

x = 3 and x=5

56.

Find the root(s) of the function.

x = 2 and x= -3

x = -2 and x= -3

x = -2 and x= 3

x = 2 and x= 3

57.

Keith determines the zeroes of the function f(x) to be -6 and 5. What could be Keith's function?

f(x) = (x + 5)(x + 6)

f(x) = (x + 5)(x - 6)

f(x) = (x - 5)(x + 6)

f(x) = (x - 5)(x - 6)

58.

x-intercepts are also called:

Choose ALL that apply!

Solutions

Roots

Zeros

Parabolas

Puppies

59.

Find the roots of this quadratic.

b=4/5, b=3

b=4, b=-3

b=1/5, b=3

b=4/5, b=-3

60.

If a quadratic function is represented as f(x) = (x - 7)(x + 8), find the zeroes.

x = - 7 and x = 8

x = 7 and x = -8

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Semester #1 Practice Final (Part 2) (IM2) 23-24

Total questions: 60

Worksheet time: 2hrs 19mins

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