Free Printable First Nine Weeks Exam

1.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

2.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

3.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

4.

Determine if the following set of numbers could form a right triangle.

15, 20, 25

a)

Yes they can

b)

No they cannot

5.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

6.

Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3

a)

x²+y²=3

b)

x²+y²=6

c)

x²+y²=9

7.

What is the slope of a line perpendicular to the line y=2/3x+5

a)

2/3

b)

-2/3

c)

3/2

d)

-3/2

8.

What is the slope of a line parallel to the line y=2/3x+5

a)

2/3

b)

-2/3

c)

3/2

d)

-3/2

9.

Which is the correct equation for a line perpendicular to y=3/4x+1 through the point (1,2)

a)

y=-3/4(x-1)+2

b)

y=3/4(x-2)+1

c)

y=-4/3(x-2)+1

d)

y=-4/3(x-1)+2

10.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

11.

What is the vertex?
y = -2x² + 4x + 3

a)

(0, 3)

b)

(-1, 5)

c)

(1, 5)

d)

(1, -5)

12.

What is the y-intercept?
f(x) = 2(x - 5)² + 12

a)

(0, -5)

b)

(0,12)

c)

(0, 62)

d)

(0, 212)

13.

What are the domain and range of the graph?

a)

D: $-4\le x\le5$

R: $-3<y\le3$

b)

D: $-3\le x<3$

R: $-4<y\le5$

c)

D: $-3<x\le3$

R: $-4\le y\le5$

d)

D: $-3\le x\le3$

R: $-4<y<5$

14.

Evaluate the given function for $f\left(-2\right)$ :

$f\left(x\right)\ =\ -2x^2\ -\ x\ +\ 9$

a)

$3$

b)

$19$

c)

$15$

d)

$-1$

15.

Which graph does NOT represent a function?

a)

b)

c)

d)

16.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(x\right)=$

a)

-4x - 3

b)

-4x +1

c)

6x + 1

d)

6x - 3

17.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(x\right)$

a)

$\frac{x-1}{5x-2}$

b)

$\frac{5x-2}{x-1}$

c)

$\frac{-1}{3}$

d)

$-3$

18.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

19.

$f\left(x\right)\ =\ -\frac{4\left(x-3\right)}{5}$

What is the value of the zero of the function?

(a)

20.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

a)

horizontal shift left 7 units

b)

horizontal shift right 7 units

c)

vertical shift up 7 units

d)

vertical shift down 7 units

21.

If the blue is f(x)=x^2,then the red must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

22.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

23.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

24.

Find the inverse: f(x) = x³ - 1

a)

f^-1(x) = ³√x + 1

b)

f^-1(x) = ³√x - 1

c)

f^-1(x) = (x-1)/3

d)

f^-1(x) = (x+1)/3

25.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

26.

What is the vertex?
f(x) = 2(x - 5)² + 12

a)

(-5, -12)

b)

(5,-12)

c)

(5, 12)

d)

(-5, 12)

27.

Factoring Polynomials
Factor the following:

3x^2+5x-12

a)

(x + 3)(3x - 4)

b)

(3x + 4)(x - 3)

c)

(3x + 3)(x - 4)

d)

(3x - 3)(x + 4)

28.

Factoring Polynomials

Factor the following:
$n\left(n+2\right)+7\left(n+2\right)$

a)

The polynomial cannot be factored

b)

$\left(n+7\right)\left(n+2\right)$

c)

$n^2+9n+14$

d)

$\left(n^2+2n\right)\left(7n+14\right)$

29.

Factoring Polynomials

Factor the following:

x^3+27

a)

undefined

b)

$\left(x+3\right)^3$

c)

$\left(x+3\right)\left(x+9\right)$

d)

The polynomial cannot be factored

30.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

31.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

32.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

33.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

34.

Simplify the following.

a)

A

b)

B

c)

C

d)

D

35.

Simplify the following.

a)

A

b)

B

c)

C

d)

D

36.

What is the conjugate of $-2+5i$ ?

a)

$-5+2i$

b)

$-2-5i$

c)

$2+5i$

d)

$5-2i$

37.

The expression (2 + 3i)² is equal to

a)

-5

b)

-5 + 12i

c)

13

d)

13 + 12i

38.

A line that the graph continually approaches but never touches is a(n) _____________________

a)

parabola

b)

asymptote

c)

rational function

d)

None of these

39.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

40.

What are the Vertical Asymptotes of...

a)

x = 0, -5

b)

x=0, 5

c)

x = 2, -7

d)

x = -2, 7

41.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

42.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

43.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

44.

4^{3x + 5} = 16

a)

-5/3

b)

-1

c)

-3/2

d)

2/3

45.

Solve:

log₂(x + 3)=5

a)

x=2

b)

x=29

c)

x=7

d)

x=32

46.

Solve each equation. Select the closest answer.

a)

4.5

b)

1.5

c)

1.8

d)

5

47.

Solve the equation:

$6^{2x}=6^{\left(-x-1\right)}$

a)

$-\frac{1}{3}$

b)

$\frac{15}{8}$

c)

$5$

d)

$\frac{19}{10}$

48.

Solve:

log₆(2x + 3) = 3

a)

x = 106.5

b)

x = 100

c)

x = 16

d)

x = 50

49.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

50.

Solve

\left(\frac{1}{2}\right)^x=8^{\left(x-2\right)}.

a)

$x=-3$

b)

$x=3$

c)

$x=-\frac{3}{2}$

d)

$x=\frac{3}{2}$

First Nine Weeks Exam

Total questions: 50

Worksheet time: 3hrs 51mins

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