Free Printable Math 2 Review

1.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

23 feet

b)

43 feet

c)

110 feet

d)

135 feet

2.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

3.

What is the value of x?

a)

17.30

b)

11.33

c)

0.06

d)

23.82

4.

Find the measure of the indicated angle.

a)

$6^{\circ}$

b)

$20^{\circ}$

c)

$43^{\circ}$

d)

$47^{\circ}$

5.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

6.

a)

9.28

b)

2.87

c)

2.97

d)

8.76

7.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position?

a)

15 miles

b)

38 miles

c)

17 miles

d)

20 miles

8.

You are standing 10 feet away from a tree. There is a cat up in the tree. Your eyes make a 48 degree angle to look up at the cat. How high is the cat?

a)

11.1 ft.

b)

9 ft.

c)

7.4 ft.

d)

13.8 ft.

9.

Solve for m by factoring.

a)

A

b)

B

c)

C

d)

D

10.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

11.

Solve the equation by factoring:
x²-6x + 8 = 0

a)

2, 4

b)

-2, -4

c)

-2, 4

d)

2, -4

12.

Solve by factoring.
k²+ 8k + 12 = 0

a)

-2, 2

b)

-2, 4

c)

-2, -6

d)

2, 3

13.

What is the GCF? 5x²+ 20x

a)

5

b)

x

c)

5x

d)

20x

14.

Factor Completely: 3n² - 15n + 18

a)

(n - 2)(n - 3)

b)

3(n + 2)(n + 3)

c)

(3n - 9)(n - 2)

d)

3(n - 3)(n - 2)

15.

Simplify the expressions $\left(2x^2-5x+6\right)+\left(5x^2-3x\ +4\right)$

a)

$7x^2-2x+10$

b)

$7x^2-2x+2$

c)

$7x^2-8x+2$

d)

$7x^2-8x+10$

16.

Which transformation moves a geometric pre-image right, left, up or down?

a)

Translation

b)

Rotation

c)

Reflection

d)

Dilation

17.

Describe the rotation shown.

a)

Rotation 180^o

b)

Rotation 90^o clockwise

c)

Rotation 90^o counter clockwise

d)

Rotation 270^o clockwise

18.

If blue is the pre-image, describe the transformation

a)

Rotation 180^o

b)

Dilation by a factor of 1/2

c)

Translation 6 right and 6 down

d)

Translation six left and six up

19.

Describe the transformation shown.

a)

Rotation 90^o clockwise

b)

Dilation by a factor of 3

c)

Translation 2 units down

d)

Reflection across the x axis.

20.

Triangle RST is translated 6 unit to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?

a)

(x, y) → (6x, -4y)

b)

(x, y) → (-6x, 4y)

c)

(x, y) → (x+6, y-4)

d)

(x, y) → (x-6, y+4)

21.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

22.

QR is a midsegment of triangle WXY. What is the length of segment WY?

a)

3

b)

6

c)

9

d)

12

23.

Find the missing length.

a)

12

b)

6

c)

20

d)

24

24.

QR is a midsegment of triangle WXY. What is the length of segment WY?

a)

3

b)

6

c)

9

d)

12

25.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

26.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

27.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

28.

What is the relationship between

\angle x\ and\ \angle y

?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same-Side Interior

29.

What is

m\angle?

Justify with the Angle Theorem.

a)

$m\angle?=51\degree$ , Alternate Exterior Angles Theorem

b)

$m\angle?=39\degree$ , Correspoinding Angles Theorem

c)

$m\angle?=51\degree$ , Corresponding Angles Theorem

d)

$m\angle?=129\degree$ , Linear Pair

30.

What is $m\angle?$ ? Justify with the appropriate angle theorem.

a)

$m\angle?=116\degree$ , Alternate Interior Angles Theorem

b)

$m\angle?=116\degree$ , Corresponding Angles Theorem

c)

$m\angle?=64\degree$ , Alternate Exterior Angles Theorem

d)

$m\angle?=64\degree$ , Alternate Interior Angles Theorem

31.

What is

m\angle?

? Justify your answer with the appropriate angle theorem

a)

$m\angle?=76\degree$ , Correspoinding Angles Theorem

b)

$m\angle?=104\degree$ , Alternate Exterior Angles Theorem

c)

$m\angle?=76\degree$ , Same-Side Interior Angles Theorem

d)

$m\angle?=14\degree$ , Alternate Interior Angles Theorem

32.

What is

$m\angle?$ ? Justify your answer with the appropriate angle relationship.

a)

$m\angle?=72\degree$ , Linear Pair

b)

$m\angle?=72\degree$ , Same-Side Interior Angle Theorem

c)

$m\angle?=108\degree$ , Linear Pair

d)

$m\angle?=108\degree$ , Alternate Exterior Angles Theorem

33.

Find the length of x

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 1/7

34.

Find the length of x

a)

x = 1

b)

x = 2

c)

x = 7

d)

x = 1/7

35.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

36.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

37.

Factor and solve: 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

38.

Use the graph to determine the X-intercepts

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,1) and (0,3)

d)

(0,-1) and (0,-3)

39.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

40.

Name the vertex to the given quadratic graph

a)

(2,3)

b)

(3,2)

c)

(0,-1)

d)

(4,-1)

41.

What is the range of this function?

a)

(- ∞,+∞)

b)

[0, +∞)

c)

[-2, +∞)

d)

[2, +∞)

42.

What is the decreasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

43.

What is the increasing interval on the function shown?

a)

$\left(-\infty,\ 1\right)$

b)

$\left(-\infty,\ 2\right)$

c)

$\left(2,\ \infty\right)$

d)

$\left(1,\ \infty\right)$

44.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

45.

Is this point a max or min?

a)

max

b)

min

46.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

47.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

48.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

49.

x⁴- 16

a)

( 2x - 4) ( 2x + 4)

b)

( x² - 4) ( x² + 4)

c)

( x² - 8) ( x² + 8)

d)

( x - 4) ( x + 4)

50.

x²- 225

a)

( x + 15) ( x + 15)

b)

Unfactorable

c)

( x - 15) ( x + 15)

d)

( x - 15) ( x - 15)

51.

Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel?

a)

1/50

b)

2/95

c)

1/10

d)

4/19

52.

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

a)

1 ⁄ 16

b)

1 ⁄ 2

c)

1 ⁄ 4

d)

1 ⁄ 8

53.

What is the Equation represented by the graph?

a)

$y=\sqrt{x-4}+1$

b)

$y=\sqrt{x}+3$

c)

$y=\sqrt{x+4}+1$

d)

$y=\sqrt{x-4}+3$

54.

What is the domain of the graph of the radical function?

a)

$x\ge1$

b)

$x\le0$

c)

$x\ge0$

d)

$x\le1$

55.

Will the function have an interval of increase or decrease?
$f\left(x\right)=-\sqrt{x+1}+9$

a)

increase

b)

decrease

c)

both

d)

neither

56.

What is the domain?

a)

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

b)

$\left[2,\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left[3,\infty\right)$

57.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

58.

Question 1

a)

10

b)

8

c)

16

d)

4

59.

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

a)

8

b)

16

c)

4

d)

no solution

60.

$\sqrt{2m-6}=\sqrt{3m-14}$

a)

8

b)

-20

c)

4

d)

no solution

61.

$\sqrt{9-b}=\sqrt{1-9b}$

a)

-1

b)

1

c)

0

d)

no solution

Math 2 Review

Total questions: 61

Worksheet time: 4hrs 46mins

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