Free Printable Algebra 2/Stats Fall Exam Review

1.

Which transformation will occur if y = x is replaced with y = x+2?

a)

Translation left 2 units

b)

Translation right 2 units

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

2.

Which equation describes the transformation of shifting f(x)=x³ two units right?

a)

x³ + 2

b)

x³ - 2

c)

(x + 2)³

d)

(x - 2)³

3.

Which transformation will occur if f(x) = x is replaced with -f(x)?

a)

Reflection across the y-axis

b)

Narrower

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

4.

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

5.

Which function describes the transformation of f(x)=x² into g(x)=(x-3)²+5

a)

right 5 and down 3

b)

right 3 and up 5

c)

left 5 and down 3

d)

left 3 and up 5

6.

f(x) = 5x² + 2

a)

Stretch of 5
Up 2

b)

Shrink of 5
Up 2

c)

Stretch of 5
Down 2

d)

Shrink of 5
Down 2

7.

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

8.

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

a)

g(x)=(x+3)²

b)

g(x)=(x-3)²

c)

g(x)=x²+3

d)

g(x)=x²-2

9.

What are the following transformations?
- f(x+2)

a)

reflection over the y axis and 2 units to the right

b)

reflection over the x axis and 2 units right

c)

reflection over the y axis and 2 units left

d)

reflection over the x axis and 2 units left

10.

What are the following transformations:
f(-x) - 4

a)

reflection over the x axis and 4 units right

b)

reflection over the x axis and 4 units down

c)

reflection over the y axis and 4 units right

d)

reflection over the y axis and 4 units down

11.

Which of the following transformations are present?
-2f(x - 1) + 2

a)

Shift 1 unit down

b)

Shift 1 unit up

c)

Shift 1 unit left

d)

Shift 1 unit right

12.

Describe the transformation that occurred
h(x) = 1/5f(x)

a)

Up 5 Units

b)

Less Steep

c)

Steeper

d)

Down 5 Units

13.

Write the slope-intercept form of the equation that has a slope of 4 and a y-intercept of −3.

a)

y = 4x − 3

b)

y = −3x + 4

c)

y = −4x + 3

d)

y = 3x − 4

14.

Write the slope-intercept form of the line shown in the graph.

a)

y = x − 4/5

b)

y = −4/5 x − 1

c)

y = 4/5 x − 1

d)

y = −x − 4/5

15.

Which is the equation of the line with slope 3 and y-intercept 5.

a)

y = 3x + 5

b)

y = 5x + 3

c)

y = 3/5x

d)

y = 5/3x

16.

Write the equation of the line with slope -2 through the point (7, −1).

a)

y = −2x + 15

b)

y = −2x − 15

c)

y = −2x + 13

d)

y = −2x − 13

17.

Write the equation of the line with slope 3/5 through the point (20, 6).

a)

y = 3/5x − 6

b)

y = 3/5x +18

c)

y = 3/5x − 18

d)

y = 3/5x + 6

18.

Write the equation of the line through the points (−6, −19) and (2, 5).

a)

y = −7/2x + 12

b)

y = 3x + 11

c)

y = −7/2x − 40

d)

y = 3x − 1

19.

Which of the following lines is PARALLEL to the graph of $y=6x-3$ ?

a)

$y=-6x+5$

b)

$y=-\frac{1}{6}x-3$

c)

$y=6x+1$

d)

$y=\frac{1}{6}x-3$

20.

y = 5/7x +2

y = 5/7x - 30

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

21.

Write an equation for a line perpendicular to

y = -5x + 3 through (-5, -4)

a)

y = -3x + 1/5

b)

y = -3x - 1/5

c)

y = 1/5x - 3

d)

y = -1/5x - 3

22.

What type of association does this graph show?

a)

Positive

b)

negative

c)

none

d)

all of the above

23.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

24.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

25.

What is the equation of the line of best fit

a)

y= -2x + 10

b)

y= 10x+ 2

c)

y= 10

26.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

27.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

28.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

29.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

30.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

31.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

32.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

33.

a)

A

b)

B

c)

C

d)

D

34.

Identify the solution to the system graphed here.

a)

(1, 5) and (-4, 0)

b)

(1, 5) and (-2, 0)

c)

(1, 5) and (0, -4)

d)

No solution

35.

Identify the solution to the system graphed here.

a)

(0, 4) and (0, -2)

b)

(2, -2)

c)

(0 4)

d)

No solution

36.

Find the solution(s) to the system.

a)

(0,-3)(1,-2)

b)

(0,-3)

c)

(-2,0)(2,0)

d)

No solution

37.

a)

10

b)

-10

c)

10i

d)

-10i

38.

Solve
3x² - 5 = -446

a)

±√-147

b)

7i√3

c)

±7i√3

d)

-7√3

39.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

40.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

41.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

42.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

43.

Simplify
(-6 - 2i)²

a)

32

b)

36-4i

c)

36+24i

d)

32+24i

44.

Solve by completing the square.
x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

45.

ax²+bx+c=0 is the standard form of a quadratic equation.

a)

True

b)

False

46.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

47.

Factor x²-11x+24

a)

(x-3)(x-8)

b)

(x-2)(x-12)

c)

(x+3)(x+8)

d)

(x+2)(x+12)

48.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

49.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

50.

Solve using the Quadratic Formula:

2x² + 2x − 12 = 0

a)

x = −2, 3

b)

x = 2, 3

c)

x = 2, −3

d)

x = −2, −3

51.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

52.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

53.

$7x^2=6x-1$

Given this quadratic equation, what could be the values a, b, and c to use in the quadratic formula?

a)

$a\ =\ 7,\ b\ =\ -6,\ c\ =\ 1$

b)

$a\ =\ 1,\ b\ =\ 6,\ c\ =\ -7$

c)

$a\ =\ -7,\ b\ =\ 6,\ c\ =\ 1$

d)

$a\ =\ 6,\ b\ =\ 7,\ c\ =\ 1$

54.

$3x^2-10x+1=0$

Solve by the method of your choice.

a)

$x=\frac{-10\pm\sqrt{88}}{6}$

b)

$x=\frac{-5\pm2\sqrt{22}}{3}$

c)

$x=\frac{10\pm\sqrt{112}}{6}$

d)

$x=\frac{5\pm\sqrt{22}}{3}$

55.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

56.

The 'p' value represents the distance between the vertex and the focus AND the vertex and the directrix.

a)

True

b)

False

57.

Does y = -4x² have a maximum or minimum value?

a)

maximum

b)

minimum

58.

Determine the vertex of the parabola y=5(x-2)²–7

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

59.

What is vertex of the quadratic function x²+4x-21?

a)

(4, -21)

b)

(-2,-25)

c)

(2, -21)

d)

(4, -25)

60.

Find the Vertex:
y = x² + 6x + 2

a)

(-3,-7)

b)

(1,6)

c)

(6,2)

d)

No Real Solution

61.

$Directrix\ y=3\ \frac{1}{8}\ and\ focus\ \left(2\ ,\ 2\ \frac{7}{8}\right)$

a)

$y=-2\left(x-2\right)^2+3$

b)

$y=2\left(x-2\right)^2+3$

c)

$x=2\left(y-3\right)^2+2$

d)

$x=-2\left(y-3\right)^2-2$

62.

Find the vertex for $y=x^2-8x+15$

a)

(-4, 63)

b)

(-4, 31)

c)

(4, -1)

d)

(4, -31)

63.

$Find\ the\ directrix:\ y=4x^2-16x+32$

a)

$y=15\ \frac{15}{16}$

b)

$x=2\ \frac{1}{16}$

c)

$y=16\ \frac{1}{16}$

d)

$x=1\ \frac{15}{16}$

64.

$y=x^2-16x$ Find the focus

a)

$\left(8\ \frac{1}{4}\ ,\ -64\right)$

b)

$\left(7\ \frac{3}{4},\ -64\right)$

c)

$\left(8,-64\ \frac{1}{4}\right)$

d)

$\left(8\ ,\ -63\ \frac{3}{4}\right)$

Algebra 2/Stats Fall Exam Review

Total questions: 64

Worksheet time: 4hrs 45mins

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