Free Printable SUBW011625

1.

What are the factors of this function?

a)

(x + 4) and (x - 1)

b)

(x - 4) and (x - 1)

c)

(x + 4) and (x + 1)

d)

(x - 4) and (x + 1)

2.

If the roots are x = 3 and x = -12, what is a possible equation in factored form?

a)

y = (x + 3)(x - 12)

b)

y = (x + 3)(x + 12)

c)

y = (x - 3)(x - 12)

d)

y = (x - 3)(x + 12)

3.

Which graph has factors of (x-2) and (x + 3)?

a)

b)

c)

d)

4.

Roots and Zeros ____________________

a)

have opposite signs

b)

are where the graph crosses the Y axis

c)

are the same.

5.

A quadratic has an equation of y = (x - 8)(x - 12). What are the x-intercepts?

a)

(-8,0) and (-12,0)

b)

(-8, 0) and (12, 0)

c)

(0,8) and (0,12)

d)

(8, 0) and (12, 0)

6.

Which equation is that of a quadratic with roots at -15 and 2?

a)

y = (x + 15)(x - 2)

b)

Y = (x + 3)(x -5)

c)

y = (x -15)(x +2)

d)

y = (x -30)(x + 1)

7.

What is a possible equation in factored form of this graph?

a)

y = (x - 10)(x + 10)

b)

y = (x - 5)(x + 2)

c)

y = (x + 5)(x - 2)

d)

y = -10

8.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

9.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

10.

If the discriminant is positive, then the solution will be:

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

11.

A function has a discriminant of 25.
______________
How many solutions does it have?

a)

0

b)

1

c)

2

d)

5

12.

What is the capital of France?

a)

Berlin

b)

Madrid

c)

Paris

d)

Rome

13.

Determine the value of the discriminant and name the nature of the roots for x² + 7x + 13

a)

400, 2 real roots

b)

0, 1 real repeated root

c)

-400, 2 imaginary roots

d)

-3, 2 imaginary roots

14.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

15.

What is the capital of France?

a)

Berlin

b)

Madrid

c)

Paris

d)

Rome

16.

What is this formula?

a)

The vertex formula.

b)

The quadratic formula.

c)

The discriminant formula.

d)

The slope formula.

17.

How many real solutions does 6x² − 2x − 3 = 0 have if the discriminant is 76?

a)

Two

b)

One

c)

None

18.

Is the discriminant of the function in the graph positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

19.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

20.

Multiply:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

21.

Multiply: (r + 7)(r − 7)

a)

r ² − 49

b)

r ² + 14

c)

r ² − 7r + 49

d)

r² + 14r − 49

22.

Find the vertex of the quadratic function: y = 4x² + 24x + 5

a)

(−3, −31)

b)

(3, 113)

c)

(−3, −76)

d)

(3, 5)

23.

Find the vertex of f(x) = x² + 10x + 21

a)

(-5,-4)

b)

(1,10)

c)

(10,21)

d)

No Real Solution

24.

Find the Vertex:
y = x² + 6x + 2

a)

(-3,-7)

b)

(1,6)

c)

(6,2)

d)

No Real Solution

25.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

26.

Which quadratic has COMPLEX roots?

a)

b)

c)

d)

27.

Identify the x-intercepts of the quadratic function $y=2x^2-8x+6$ .

a)

x = -1 or x = -3

b)

x = 1 or x = 3

c)

x = 2 or x = 4

d)

x = 0 or x = 6

28.

Find the x-intercepts of the quadratic function $y=x^2+4x-5.$

a)

2 and -7

b)

0 and 3

c)

-3 and 5

d)

-5 and 1

29.

Determine the roots of the quadratic function $y=-3x^2+12x-9$ .

a)

x = 1, x = 3

b)

x = 0, x = 5

c)

x = -1, x = 3

d)

x = 2, x = 4

30.

Calculate the solutions of the function $y=-x^2+8x-16$ using the quadratic formula.

a)

The intercepts are (2, 0) and (4, 0)

b)

The intercepts are (3, 0) and (5, 0)

c)

The intercepts are (1, 0) and (8, 0)

d)

The intercepts are (0, 2) and (0, 4)

31.

$\left(2r+1\right)\left(3r^2+r-4\right)$

a)

$6r^3+3r^2-8r-4$

b)

$6r^3-7r^2+5r-4$

c)

$6r^3+5r^2-7r-4$

d)

$6r^3+r^2+9r-4$

32.

$\left(3x-3\right)\left(4x^2-2x-5\right)$

a)

$12x^3-18x^2-9x+15$

b)

$12x^3+6x^2+21x-15$

c)

$12x^3+18x^2+9x-15$

d)

$12x^3+6x^2-9x+15$

33.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

34.

(4a + 2)(6a² − a + 2)

a)

24a³ + 16a² + 6a + 4

b)

24a³ + 8a² + 10a + 4

c)

24a³ + 8a² + 6a + 4

d)

24a³ − 8a² − 6a + 4

35.

Write a function g whose graph is 5 units right of $f\left(x\right)=x^2-2$ .

a)

$g\left(x\right)=\left(x-5\right)^2-2$

b)

$g\left(x\right)=x^2+5$

c)

$g\left(x\right)=\left(x+5\right)^2-2$

36.

Write a function g that translates the graph of $f\left(x\right)=\left|x\right|+5$ 3 units down.

a)

$g\left(x\right)=\left|x+2\right|+5$

b)

$g\left(x\right)=\left|x\right|+2$

c)

$g\left(x\right)=\left|x\right|-3$

37.

Describe the transformation of p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

38.

Describe the transformation of h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Stretch

d)

right 2 units

39.

Describe the transformation of m(x) = f(x + 1)

a)

Left 1 Unit

b)

Right 1 unit

c)

Vertical stretch

d)

Up 1 unit

40.

Find the equation of the parabola that has moved 5 units to the right.

a)

y=x^2+5

b)

$y=x^2-5$

c)

$y=\left(x+5\right)^2$

d)

$y=\left(x-5\right)^2$

41.

A transformation that flips a figure across a line.

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

42.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2]?

a)

2

b)

1/2

c)

-2

d)

-1/2

43.

What is the capital of France?

a)

Berlin

b)

Madrid

c)

Paris

d)

Rome

44.

Find the average rate of change over the interval [-3, -1]:

a)

-2

b)

-1.5

c)

0

d)

1

e)

2.5

45.

Check all the intervals where this graph is decreasing.

a)

(-∞, -1)

b)

(-1, 0)

c)

(0, 1)

d)

(1, ∞)

46.

Check all the intervals where this graph is increasing.

a)

(-∞, -1)

b)

(-1, 0)

c)

(0, 1)

d)

(1, ∞)

47.

Find the interval(s) of increase of the graph shown.

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

48.

Find the interval(s) where the graph decreases.

a)

(-6, -4)

b)

(-4, -2)

c)

(-2, 2)

d)

(2, 5)

e)

(5, 6)

49.

Where is the function increasing?

a)

(-∞,5]

b)

(-∞,0]

c)

(-∞,2]

d)

[0,2]

50.

What is the interval of increase?

a)

From 0 to 3

b)

From 3 to 7

c)

From 25 to 40

d)

From 50 to 25

51.

Is this division problem correct?

a)

This is correct!

b)

This is incorrect!

52.

What is the remainder when (48y² + 8y + 7) ÷ (12y - 1)?

a)

6

b)

8

c)

-1

d)

No remainder

53.

Divide.

a)

-3x² + 3x + 2

b)

x² - 3x - 2

c)

-3x²+ 2

d)

x² + 3x + 2

54.

Divide using long division. $\left(9x^3-18x^2-x+2\right)\div\left(3x+1\right)$

a)

$3x^2+7x-14$

b)

$3x^2-7x-2$

c)

$3x^2-7x+14$

d)

$3x^2-7x+2$

55.

15x⁴ + 20x³ - 25x

a)

5x²(3x² + 4x - 5)

b)

5x(3x³ + 4x² - 5x)

c)

5x(3x³ + 4x² - 5)

d)

5(3x⁴ + 4x³ - 5x)

56.

Factor: 3x²- 6x - 24

a)

(3x - 8)(x + 3)

b)

(3x + 4)(x - 6)

c)

3(x - 2)(x + 4)

d)

3(x + 2)(x - 4)

57.

Factor:

80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁵)

d)

3x²(80x³-40-60x⁵)

58.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

59.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁶)

d)

3x²(80x³-40-60x⁵)

60.

What is 64 squared?

64²

a)

4096

b)

8

c)

16

d)

128

61.

What is the domain of

y=\frac{1}{x}

?

a)

$x\ne-1$

b)

$x\ne0$

c)

$x\ne1$

d)

$x\ne y$

62.

Find the domain of

y=\frac{2}{x+1}

.

a)

$x\ne-1$

b)

$x\ne0$

c)

$x\ne1$

d)

$x\ne2$

63.

What is the domain of

y=\frac{\left(x-1\right)\left(x+4\right)}{\left(x+2\right)\left(x-3\right)}

? (Check all that applies.)

a)

$x\ne-2$

b)

$x\ne-1$

c)

$x\ne3$

d)

$x\ne4$

64.

Find the domain of the function. $f(x)=\frac{-3x}{7-x}$

a)

$x\ne0$ $x\ne-7$

b)

$x\ne0$

c)

$x\ne7$

d)

All real numbers

65.

Solve.

a)

A

b)

B

c)

C

d)

D

66.

Solve

a)

x = 0 , 4

b)

x = 1 , 3

c)

x = -4 , 0

d)

x = 5 , 2

67.

Solve for x: $\frac{5}{x+2}=\frac{1}{x-4}$

a)

x = 5

b)

x = 4

c)

x = 5.5

d)

x = -4

68.

Solve by using the LCD.

a)

x = -2, 8

b)

x = 0, 4

c)

x = 2, -8

d)

x = 8

69.

Identify the LCD.

a)

x²(x - 2)

b)

x(x - 2)

c)

x

d)

(x - 2)

70.

Find the domain of

f\left(x\right)\ =\ \frac{x-3}{x+4}

.

a)

$\left(-\infty,\ \infty\right)$

b)

$\left(-\infty,3\right)\cup\left(3,\infty\right)$

c)

$\left(-\infty,-4\right)\cup\left(-4,\infty\right)$

d)

$\left(-\infty,-4\right)\cup\left(-4,3\right)\cup\left(3,\infty\right)$

71.

Identify the LCD.

a)

(x + 5)

b)

x²(x + 5)

c)

x

d)

x(x + 5)

72.

What is the vertical asymptote of $y=\frac{x-1}{\left(x+3\right)\left(x-1\right)}$

a)

x=-3

b)

x=3

c)

x=-1

d)

x=1

73.

What is the vertical asymptote of $y=\frac{1}{x^2-10x+24}$

a)

x=-4, x=6

b)

x=4, x=-6

c)

x=-4, x=-6

d)

x=4, x=6

74.

What is the vertical asymptote of $y=\frac{x+6}{x+3}$

a)

x = 6

b)

x = -6

c)

x = 3

d)

x = -3

75.

How many vertical asymptotes does the function have?

a)

None

b)

1

c)

2

d)

3

76.

Which of the following represents the vertical asymptote(s) for the function below?
$f\left(x\right)=\frac{5}{x^2\left(x-4\right)\left(x+2\right)}$

a)

$x=0,-4,2$

b)

$x=4,-2$

c)

$x=0,4,\ -2$

d)

$x=-4,2$

77.

Simplify.

a)

b)

c)

d)

78.

Simplify the radical...
√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

79.

$\sqrt{4x^2y^4z^3}$ Simplify

a)

$2xy^2z\sqrt{z}$

b)

$2z^3\sqrt{x^7y^5}$

c)

$2xyz\sqrt{x^6y^5z^8}$

d)

$2x^3y^2z^4\sqrt{xyz}$

SUBW011625

Total questions: 79

Worksheet time: 4hrs 56mins

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