Free Printable Final Exam Review Q2 Math 2 Honors

1.

Factor completely.
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

2.

Factor: $x^2+6x+8$

a)

(x - 4)(x + 2)

b)

(x + 4)(x + 2)

c)

(x + 6)(x + 8)

3.

Factor: $3x^2+10x-8$

a)

(3x + 1)(x - 4)

b)

(2x - 1)(x + 3)

c)

(3x - 2)(x + 4)

4.

If your factors are $\left(x+5\right)\left(x-9\right)$ , what are your solutions?

a)

{-5, -9}

b)

{-5, 9}

c)

{5, -9}

5.

If your factors are $\left(3x+1\right)\left(x-2\right)$ , what are your solutions?

a)

$\left\{-\frac{1}{3},\ 2\right\}$

b)

$\left\{\frac{1}{3},\ -2\right\}$

c)

$\left\{-1,\ 2\right\}$

6.

If your factors are $\left(7x-3\right)\left(2x+1\right)$ , what are your solutions?

a)

$\left\{\frac{3}{7},\ \frac{1}{2}\right\}$

b)

$\left\{\frac{3}{7},\ -\frac{1}{2}\right\}$

c)

$\left\{\frac{7}{3},\ -\frac{2}{1}\right\}$

7.

Factor the Difference of Squares: $x^2-121$

a)

(x + 11)(x +10)

b)

(x + 11)(x - 11)

c)

(x - 11)(x - 11)

d)

( x - 4) ( x + 4)

8.

Factor the Perfect Square Trinomial:

n²+ 10n + 25

a)

(n + 5)(n - 5)

b)

(n + 25)(n + 1)

c)

(n - 5)²

d)

(n + 5)²

9.

Factor the Perfect Square Trinomial:

x² - 20x + 100

a)

(x - 10)²

b)

(x + 10)²

10.

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

a)

5 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

11.

Which is the correct factoring and solutions?
$2h^2+11h+5\ =\ 0$

a)

(2h +5)(h + 1); h = $-\frac{5}{2}$ , $-1$

b)

(2h +1)(h + 5); h = $-\frac{1}{2},\ -5$

c)

(2h +2)(h + 3) h = $-1,\ -3$

d)

(2h +3)(h + 2) h = $-\frac{3}{2},\ -2$

12.

Solve the equation by factoring.

a)

$\left\{-3,\ -4\right\}$

b)

$\left\{-6,\ -1\right\}$

c)

$\left\{8,\ 1\right\}$

d)

$\left\{-1,\ -2\right\}$

13.

Solve the equation by factoring.

a)

$\left\{2,\ -1\right\}$

b)

$\left\{-5,\ 5\right\}$

c)

$\left\{-4,\ 1\right\}$

d)

$\left\{-8,\ 6\right\}$

14.

Solve the equation by factoring.

a)

$\left\{2,\ 6\right\}$

b)

$\left\{2,\ 0\right\}$

c)

$\left\{-2,\ 0\right\}$

d)

$\left\{-5,\ 1\right\}$

15.

Solve: $2x^2-15=x$

a)

$x=-\frac{5}{2}$ and $x=3$

b)

$x=\frac{5}{2}$ and $x=-3$

c)

$x=\frac{5}{2}$ and $x=3$

d)

$x=-\frac{5}{2}$ and $x=-3$

16.

Simplify $\sqrt{-18}$

a)

$3i\sqrt{2}$

b)

$9i$

c)

$2i\sqrt{3}$

d)

$3i$

17.

Simplify $\sqrt{-4}$

a)

2x

b)

2

c)

2i

d)

-2

18.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

19.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

Solve for x.

5(x - 3)² + 1 = 81

a)

x = -1, 7

b)

x = -7, 1

c)

x = ± 9

d)

x = 3, 10

23.

Solve for x.

2(x + 5)² = 28

a)

$5\pm\sqrt[]{14}$

b)

$-5\pm2\sqrt[]{7}$

c)

$-5\pm\sqrt[]{14}$

d)

$5\pm2\sqrt[]{7}$

24.

$12x^2+4=-236$

a)

$\pm2i\sqrt{5}$

b)

$-\sqrt{20}$

c)

$\pm20i$

d)

$\pm5i\sqrt{2}$

25.

$9r^2-2=646$

a)

$\pm2\sqrt{6}$

b)

$\pm3\sqrt{8}$

c)

$\pm2\sqrt{18}$

d)

$\pm6\sqrt{2}$

26.

Solve by completing the square.
x² +12x = 5

a)

X = 6 + √41 or 6 − √41

b)

X= 35 or 47

c)

X = −6 + √41 or −6 − √41

d)

X = √35 or √47

27.

Solve by completing the square:
k² − 12k + 23 = 0

a)

{6 + √13, 6 - √13}

b)

{-6 + √13, -6 - √13}

c)

{6 + √59, 6 - √59}

d)

{-6 + √59, -6 - √59}

28.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

29.

Solve the quadratic equation by completing the square:

x² + 4x - 35 = 5

a)

b)

c)

d)

30.

Solve the following equation by completing the square. $2n^2+4n-12=0$

a)

$-1+\sqrt{7},1-\sqrt{7}$

b)

$-1+\sqrt{7},-1+\sqrt{7}$

c)

$-1+\sqrt{7},-1-\sqrt{7}$

31.

Solve by completing the square.
$x^2-6x+4=0$

a)

$-3\pm\sqrt{5}$

b)

$5\pm\sqrt{3}$

c)

$3\pm\sqrt{5}$

d)

$-5\pm\sqrt{3}$

32.

4 Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

a)

256 - 2 reals - Rational

b)

√(-256 - 2 imaginary solutions

c)

√(137) - 2 reals - Irrational

d)

123 - 2 reals - Rational

33.

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember: b² - 4ac

a)

400, 2 real root

b)

0, 1 real root with a multiplicity of 2

c)

-400, 2 imaginary roots

d)

-3, 2 imaginary roots

34.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

35.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

36.

What is the discriminant of 6x² − 2x − 3 = 0

a)

76

b)

29

c)

68

d)

none of these

37.

Look at the equation below.

$x^2+5x+7=0$

What are the solutions of the equation? Write your answers in simplest radical form.

a)

$\frac{-5\pm\sqrt{3}}{2}$

b)

$\frac{-5\pm i\sqrt{3}}{2}$

c)

$\frac{-5\pm\sqrt{53}}{2}$

d)

$\frac{-5\pm i\sqrt{53}}{2}$

38.

Solve the following equation. Write your answers in simplest radical form.

$x^2+10x+35=0$

a)

$-5\pm2i\sqrt{5}$

b)

$-5\pm i\sqrt{5}$

c)

$-5\pm2i\sqrt{10}$

d)

$-5\pm i\sqrt{10}$

39.

Solve using the quadratic formula...
$9x^2-7x=4$

a)

b)

c)

d)

No solution

40.

Solve using the quadratic formula. $f\left(x\right)=2x^2-4x+7$

a)

$\frac{2\pm2i\sqrt{10}}{2}$

b)

$\frac{4\pm\sqrt{40}}{4}$

c)

$\frac{2\pm i\sqrt{10}}{2}$

d)

$\frac{2\pm2i\sqrt{40}}{4}$

41.

$5x^2+3x-3=0$

a)

$\frac{-3\pm i\sqrt{51}}{10}$

b)

$\frac{-3\pm\sqrt{69}}{10}$

c)

$\frac{3\pm\sqrt{69}}{2}$

d)

$\frac{-3\pm3\sqrt{23}}{10}$

42.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

43.

$3x^2+5x+9=-5x+4$

a)

$\frac{-5\pm\sqrt{10}}{3}$

b)

$\frac{-10\pm\sqrt{40}}{6}$

c)

$\frac{-5\pm\sqrt{5}}{3}$

d)

$\frac{5\pm i\sqrt{5}}{3}$

44.

$2x^2-36=x$

a)

$x=\frac{-9}{2}and\ 4$

b)

$x=\frac{9}{2}\ and\ -4$

c)

$x=4\ and\ -4$

d)

No real solution

45.

$Solve\ with\ the\ Quadratic\ Formula:$ $2r^2+r-2=0$

a)

$\left\{\frac{\sqrt{5}}{5},\ -\frac{\sqrt{5}}{5}\right\}$

b)

$\left\{\frac{2i\sqrt{5}}{5},\ -\frac{2i\sqrt{5}}{5}\right\}$

c)

$\left\{\frac{-1+\sqrt{5}}{4},\ \frac{-1-\sqrt{5}}{4}\right\}$

d)

$\left\{\frac{-1+\sqrt{17}}{4},\ \frac{-1-\sqrt{17}}{4}\right\}$

46.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation

h(t) = -16t² +128t

When will the object reach its maximum height?

a)

4 ft

b)

0 seconds

c)

0 ft

d)

4 seconds

e)

None of the above

47.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

48.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

49.

The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:

p= -15x² +600x +60

What is the maximum profit you can make from selling tickets?

a)

$6060

b)

$20

c)

$600

d)

$10,250

50.

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4 seconds

b)

-2 seconds

c)

-6 seconds

d)

6 seconds

51.

Simplify the expression.

\left(-3a^4+3+8a^2\right)-\left(13a^4-7a-2a^2\right)

a)

$\left(-16a^4+5a^2+18a+3\right)$

b)

$-16a^4+7a+3$

c)

$-16a^4+10a^2+7a+3$

d)

$-16a^4+18a+3$

52.

Simplify the expression.

\left(6p+4p^5+11p^3\right)+\left(-4p^2-p^5+4p\right)

a)

$3p^5+11p^3-21p^2+10p$

b)

$3p^5+11p^3-4p^2+10p$

c)

$3p^5+11p^3-18p^2+10p$

d)

$3p^5+11p^3-16p^2+10p$

53.

Simplify the expression.

\left(-10a^4-7a^2+11\right)-\left(9+10a^2-5a^4\right)

a)

$-5a^4-29a^2+2$

b)

$-5a^4-29a^2+15$

c)

$-5a^4-17a^2+2$

d)

$-19a^4-29a^2+15$

54.

Simplify the expression.

\left(7x^5+2x^4-8x\right)-\left(13x-3x^4-3x^5\right)

a)

$7x^5+5x^4-21x$

b)

$-x^5+5x^4-18x$

c)

$-x^5+5x^4-21x$

d)

$10x^5+5x^4-21x$

55.

Simplify the expression.

\left(-11k^2+3k^4-9\right)+\left(10k^2+14k^4-13\right)

a)

$17k^4-k^2-28$

b)

$17k^4-k^2-22$

c)

$-11k^4-21k^2+4$

d)

$17k^4-k^2-29$

56.

Simplify the expression.

\left(-6x+13x^2-x^5\right)+\left(5x^2-2x^5+6x\right)

a)

$-13x^5+18x^2+6x$

b)

$-13x^5+18x^2$

c)

$-3x^5+18x^2$

d)

$-3x^5+18x^2+6x$

57.

The the product.

5n\left(7n^2-5n+4\right)

a)

$36n^3+36n^2-36n$

b)

$24n^2-12n+42$

c)

$9n^2+18n-15$

d)

$35n^3-25n^2+20n$

58.

Find the product.

\left(-2r+5\right)\left(-8r+5\right)

a)

$16r^2-50r+25$

b)

$16r^2+25$

c)

$16r^2-30r-25$

d)

$16r^2+30r-25$

59.

Find the product.

\left(x+3\right)\left(4x^2+3x-2\right)

a)

$-56x^3+9x^2+99x-56$

b)

$4x^3+15x^2+7x-6$

c)

$-48x^3-22x^2+79x-24$

d)

$-7x^3+20x^2-26x+12$

60.

Simplify:
(3x-5) (4x²-2x-3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

61.

What is the standard form of the polynomial,

7x - 125 - 6x⁴ + 14x²

a)

125 + 7x - 14x² +6x⁴

b)

6x⁴ -14x² - 7x +125

c)

125 + 14x² + 7x - 6x⁴

d)

-6x⁴+ 14x² + 7x - 125

62.

Simplify the expression.

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

63.

f(x)=x²-5x
Evaluate f(4).

a)

-4

b)

126

c)

24

d)

84

64.

Evaluate f(t)=-2t²+1 for f(-3).

a)

19

b)

37

c)

-17

d)

-11

65.

Evaluate
x³ -2x² -17x + 1
for x = -2

a)

19

b)

-33

c)

-49

d)

35

66.

Find the product:
(5n-8)(5n+8)

a)

25n²-64

b)

10n²

c)

5n²+16

d)

16

67.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

68.

Write y = x² + 4x - 1 in vertex form.

a)

y = (x - 2)² + 5

b)

y = (x + 2)² - 5

c)

y = (x + 2)² - 1

d)

y = (x +2)² + 3

69.

Write y = x² - 18x + 52 in vertex form.

a)

y = (x - 9)² + 113

b)

y = (x + 9)² - 29

c)

y = (x - 9)² + 52

d)

y = (x - 9)² - 29

70.

Convert the equation y= 5x²- 40x + 67 into vertex form.

a)

y= -5(x + 4)²+ 13

b)

y= 5(x + 4)²- 13

c)

y=5(x - 4)²- 13

d)

y= 5(x - 13)²+ 4

71.

$y=4(x+2)^2-8$

Convert the equation from vertex form to standard form.

a)

$y=4x^2+16x+8$

b)

$y=4x^2+16x+16$

c)

$y=16x^2+64x-8$

d)

$y=16x^2+256x+8$

72.

Convert the equation from Standard Form to Vertex Form.

y\ =\ 3x^2+6x-5

a)

y = 3(x + 1)² - 8

b)

y = 3(x - 1)² - 8

c)

y = 3(x + 2)² - 8

d)

y = 3(x - 2)² - 8

73.

Convert to Standard Form: y = (x+2)²+3

a)

y = x²+2x+3

b)

y = x²+4x+3

c)

y = x²+4x+4

d)

y = x²+4x+7

74.

Convert to Standard Form: y = (x-3)²+5

a)

y = x²-3x+5

b)

y = x²-6x+14

c)

y = x²-6x+9

d)

y = x²+6x+14

75.

Convert to Standard Form: y = -(x+5)²-3

a)

y = -x²-10x-28

b)

y = -x²-10x-25

c)

y = x²-10x-22

d)

y = x²⁺10x+28

76.

Convert to Vertex Form: y = -x²+4x-2

a)

y = -(x+2)²+2

b)

y = (x-2)²-2

c)

y = -(x-2)²+2

d)

y = (x-2)²+2

77.

Convert to Vertex Form: y = 2x²+8x+15

a)

y = (x+2)²+3.5

b)

y = 2(x+2)²+7

c)

y = (x+4)²+7.5

d)

y = 2(x+8)²+15

78.

Convert to Vertex Form: y = -3x²-6x+24

a)

y = -3(x+1)²+27

b)

y = -3(x+1)²-9

c)

y = 3(x+1)²-27

d)

y = (x+1)²-9

79.

Find the sum.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

80.

(3+8i)(-2-i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

81.

(5+8i)+(6-10i)

a)

-1-18i

b)

11-2i

c)

13-4i

d)

-20i

82.

(-9-5i)-(2-7i)

a)

-40+14i

b)

-7-12i

c)

-59i

d)

-11+2i

83.

Another way to express $i^2$ is?

a)

1

b)

-1

c)

$i$

d)

$-i$

84.

$Simplify:\ \ \left(-2\ +\ 7i\right)\left(4\ -\ 2i\right)$

a)

$6+\ 32i$

b)

$-6\ +\ 32i$

c)

$22+32i$

d)

$6\ +\ 24i$

85.

$5\sqrt{2}+4\sqrt{2}$

a)

$9\sqrt{4}$

b)

$9\sqrt{2}$

c)

$20\sqrt{2}$

86.

$3\sqrt{20}+4\sqrt{5}$

a)

$10\sqrt{5}$

b)

$16\sqrt{5}$

c)

$7\sqrt{25}$

87.

$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$

a)

$8\sqrt{3}+15\sqrt{2}$

b)

$8\sqrt{2}+15\sqrt{3}$

c)

$25\sqrt{2}$

88.

$-5\sqrt{2}+10\sqrt{8}+3\sqrt{18}$

a)

$24\sqrt{2}$

b)

$44\sqrt{2}$

c)

$62\sqrt{2}$

89.

Multiply: (4 - i)(4 + i)

a)

$16-i^2$

b)

17

c)

$16-8i-i^2$

d)

17-8i

90.

Multiply (5 + 2i)(5 - 2i)

a)

$25-i^2$

b)

21

c)

29

d)

29-10i

91.

a)

$\frac{16x^{16}z^{32}}{y^{28}}$

b)

$\frac{-16x^{16}z^{32}}{y^{28}}$

c)

$\frac{x^{16}z^{32}}{16y^{28}}$

d)

$-8x^{-8}y^3z^{-12}$

92.

$\left(\frac{-8p^{10}}{7r^3}\right)^{^2}$

a)

-64p²⁰/ 49r⁶

b)

64p²⁰/ 49r⁶

c)

-8p²⁰/ 14r⁶

d)

-64p¹²/ 49r⁵

93.

Simplify so there are no negative exponents in the answer.

\left(3n^3\right)^{-3}

a)

$\frac{1}{27n^9}$

b)

$\frac{-27}{n^9}$

c)

$\frac{-27}{n^6}$

d)

$\frac{-9}{n^6}$

94.

Simplify so there are no negative exponents in the answer.

\frac{3x^3\cdot4x^4}{x^2}

a)

$12x^5$

b)

$12x^9$

c)

$7x^5$

d)

$7x^4$

95.

$\frac{\left(2m^3n^2\right)^02m^3n^{-3}}{n^3}$

Simplify so there are no negative exponents in the answer.

a)

$\frac{2m^3}{n^{6^{ }}}$

b)

$2m^3$

c)

$4m^6n^2$

d)

$2m^6n^2$

96.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

97.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

98.

Write the expression in radical form: $x^{\frac{3}{4}}$

a)

$\sqrt[4]{x^3}$

b)

$\sqrt[3]{x^4}$

c)

$x^{.75}$

d)

$\sqrt[]{x^2}$

99.

Rewrite in radical form.

a)

A

b)

B

c)

C

d)

D

100.

$yx^{\frac{1}{3}}\cdot xy^{\frac{3}{2}}$

a)

$x^{\frac{4}{3}}y^{\frac{5}{2}}$

b)

$x^{\frac{2}{3}}y^{\frac{1}{2}}$

c)

$x^{\frac{1}{3}}y^{\frac{3}{2}}$

d)

$x^{\frac{2}{3}}y^{\frac{4}{3}}$

101.

Simplify . Your answer should contain only positive exponents. $4v^{\frac{2}{3}}\cdot v^{-1}$

a)

$4v^{\frac{1}{3}}$

b)

$\frac{4}{v^{\frac{1}{3}}}$

c)

$\frac{v^{\frac{1}{3}}}{4}$

d)

$\frac{1}{4v^{\frac{1}{3}}}$

102.

Simplify . Your answer should contain only positive exponents. $\frac{a^{\frac{3}{4}}b^{-1}\cdot b^{\frac{7}{4}}}{3b^{-1}}$

a)

$\frac{a^{\frac{3}{4}}b^{\frac{7}{4}}}{3}$

b)

$\frac{a^{\frac{3}{4}}b^{\frac{3}{4}}}{3}$

c)

$a^{\frac{3}{4}}b^{\frac{7}{4}}$

d)

$3a^{\frac{3}{4}}b^{\frac{7}{4}}$

103.

Simplify . Your answer should contain only positive exponents. $\frac{3y^{-\frac{5}{4}}}{y^{-1}•2y^{-\frac{1}{3}}}$

a)

$\frac{3y^{\frac{1}{12}}}{2}$

b)

$\frac{3y^{\frac{19}{12}}}{2}$

c)

$\frac{3}{2y^{\frac{1}{12}}}$

d)

$\frac{3}{2y^{\frac{19}{12}}}$

104.

Simplify

$\frac{x^4}{3x^4}$

a)

$\frac{1}{3}$

b)

$3$

c)

$3x$

d)

$3x^4$

105.

Write each expression in exponential form.

a)

A

b)

B

c)

C

d)

D

106.

Write the above expression in exponential form.

a)

b)

c)

d)

107.

Solve the radical equation and check for extraneous solutions:

a)

A

b)

B

c)

C

d)

D

108.

Solve the radical equation and check for extraneous solutions:

a)

A

b)

B

c)

C

d)

D

109.

Solve the radical equation and check for extraneous solutions:

a)

A

b)

B

c)

C

d)

D

110.

Solve the radical equation and check for extraneous solutions:

a)

A

b)

B

c)

C

d)

D

111.

Solve the radical equation and check for extraneous solutions:

a)

A

b)

B

c)

C

d)

D

112.

a)

x = -2

b)

x = 3

c)

x = 5

d)

No Solution

113.

a)

x = - 9, x = 7

b)

x = 7

c)

x = 9

d)

x = 9, x = - 7

114.

Solve

$\sqrt{3x+10}=x+4$

a)

x = -2

b)

x = -2, 3

c)

x = -2, -3

d)

x = -3

115.

a)

x = 5

b)

x = 33

c)

x = 85

d)

x = 21

116.

Which transformations apply to the following function? $f\left(x\right)=-\frac{3}{x+2}-2$

a)

right 2 units

b)

down 2 units

c)

left 2 units

d)

up 2 units

e)

reflection

117.

Choose the correct graph for the following function? $f\left(x\right)=-\frac{2}{x+2}+1$

a)

b)

c)

d)

118.

Check all the transformations that apply for the following function:
$f\left(x\right)=\frac{1}{x-7}+3$

a)

down 7 units

b)

right 7 units

c)

right 3 units

d)

up 3 units

e)

up 1 unit

119.

Check the correct asymptotes for the given function:
$f\left(x\right)=-\frac{4}{x+2}-2$

a)

VA: x = 2

b)

VA: x = -2

c)

HA: y = 2

d)

HA: y = -2

e)

VA: x = 4

120.

What is the Domain and Range for the following function?
$f\left(x\right)=\frac{1}{x+2}-1$

a)

D: all real numbers

b)

R: all real numbers

c)

D: all real numbers $x\ne-2$

d)

R: all real numbers $y\ne1$

e)

R: all real numbers $y\ne-1$

121.

What are the transformations of this functions compared to the parent function?

f\left(x\right)\ =\sqrt{x+2}

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

122.

State the transformations:

f\left(x\right)\ =\ -3\sqrt{x-2}+1

a)

reflects over x axis, vertical stretch by 3, right 2, up 1

b)

reflects over y axis, vertical compression by -3, left 2, up 1

c)

reflects over x axis, vertical stretch by -3, left 2, up 1

d)

reflects over y axis, vertical compression by 1/3, right 2, up 1

123.

Find the domain and range of the function
Hint: use the calculator to see the graph

f\left(x\right)\ =\ -\sqrt{x-1}+4

a)

Domain: (-∞, ∞) Range: [-∞, 4]

b)

Domain: [1, ∞) Range: (-∞, 4]

c)

Domain: [-1. ∞) Range: [4, ∞)

d)

Domain: [4, ∞) Range: [-1,∞)

124.

Describe the transformations:

f\left(x\right)\ =\ \sqrt{x-2}-4

a)

Translate Right 2, Down 4

b)

Translate Left 2, Down 4

c)

Translate Left 2, Up 4

d)

Translate Right 2, Up 4

125.

How did this graph move from the parent function?

$y=-\frac{1}{x+9}+1$

a)

Left 9 and Up 1

b)

Left 9 and Down 1

c)

Reflection over the x-axis, left 9 and up 1

d)

Reflection over the x-axis, right 9 and down 1

126.

How did this graph move from the parent function?

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

a)

Vertical Stretch of 3

b)

Horizontal Stretch of 3

c)

Up 3

d)

Right 3

127.

$Solve\ the\ system\ of\ equations\ f\left(x\right)=-2x+6\ and\ f\left(x\right)=-\sqrt{x+2}$

a)

(-2, 0)

b)

(3, 0)

c)

(4.25, -2.5)

d)

(2.5, -4.25)

128.

$Solve\ the\ system:\ f\left(x\right)=-\frac{1}{4}x\ +3\ \ and\ \ f\left(x\right)\ =\ \sqrt{x}$

a)

(4, 2)

b)

(2, 4)

c)

(0, 0)

d)

No Solution

129.

Find the x-values that satisfy the system of equations below.
$y=\sqrt{3x+1\ }\ and\ \ y=\frac{3}{5}x+1$

a)

x = 1, 4

b)

x = 0, 1

c)

x = 5, 4

d)

x = 0, 5

130.

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

a)

y=1344x

b)

y=100x

c)

y=5.25x

d)

y=4/21x

131.

Is the given table a direct or inverse variation? What is the constant of variation?

a)

Direct, 12

b)

Inverse, 12

c)

Direct, 1/12

d)

Inverse, 1/12

132.

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

a)

8 painters

b)

10 painters

c)

9 painters

d)

11 painters

133.

The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50 degrees, what is the pressure in the chamber when the temperature of the chamber is 75 degrees?

a)

175 atm

b)

200 atm

c)

225 atm

d)

275 atm

134.

Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?

a)

14

b)

10

c)

2

d)

-14

135.

The width of a rectangle varies inversely with its length. If the width is 6 when the length is 24, give an equation that shows the relationship.

a)

y = 4x

b)

y = 144x

c)

y = 4/x

d)

y = 144/x

136.

A relation is shown in the table.

Which statement about this relation is true?

a)

It is a direct variation, because $xy=24$ .

b)

It is an inverse variation, because $xy=24$ .

c)

It is a direct variation, because $y=\frac{3}{2}x$ .

d)

It is an inverse variation, because $y=\frac{3}{2}x$ .

137.

If y varies inversely as x, and y = 23 when x = 8, find y when x = 4.

a)

26

b)

46

c)

52

d)

92

138.

A person’s weekly pay is directly proportional to the number of hours worked. Shawn’s pay is $123.00 for 20 hours of work. What is the constant of variation?

a)

k = 123

b)

k = 20

c)

k = 6.15

d)

k = 0.16

139.

The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words?

a)

220 minutes

b)

20 minutes

c)

15 minutes

d)

4 minutes

140.

Points (3,10) and (x, 15) represent an inverse variation. Find x.

a)

50

b)

5

c)

30

d)

2

141.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

142.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

143.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

144.

Are the triangles similar?

a)

Yes by AA~

b)

No

c)

Yes by SSS~

d)

Yes by SAS~

145.

State the postulate that proves these triangles are similar.

a)

SSS

b)

AA

c)

SAS

d)

Not similar

146.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

147.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√22

b)

22√4

c)

22√2

d)

2√22

148.

Solve for x. SIMPLIFY your radical answer completely.

a)

√3

b)

3

c)

√41

d)

41

149.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

150.

Solve for x.

a)

10

b)

5

c)

7

d)

4

151.

Are the triangles similar? If so, what similarity shortcut is used?

a)

Similar. SSS

b)

Similar. SAS

c)

Similar. AA

d)

Not Similar.

152.

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

a)

3

b)

6

c)

9

d)

12

153.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

154.

UV is a midsegment of triangle FGH. What is the length of segment UV?

a)

12

b)

10

c)

5

d)

-12

155.

The pair of figures are similar. Find the missing side.

a)

x = 12

b)

x = 3

c)

x = 40

d)

x = 4

156.

If ΔGFE~ΔCBE, find the value of x.

a)

x=9

b)

x=18

c)

x=36

d)

x=1.2

157.

Solve:

a)

3

b)

4

c)

-7

d)

15

158.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

159.

Find the measurement of the missing side indicated

a)

4.39

b)

3.21

c)

2.19

d)

2.05

160.

Which triangle is correctly labeled?

a)

b)

c)

d)

161.

Which one is the easy trick to remember trigonometric ratios?

a)

SAH COH TOA

b)

SOH CAH TOA

c)

SOH CAH TAO

d)

SOH CEH TOA

162.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

163.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

33°

b)

49°

c)

39°

d)

41°

164.

Find the measure of the angle. Round to the nearest tenth.

a)

30.8

b)

32.1

c)

34.3

d)

36.9

165.

Find the length of the missing side.

a)

187.7

b)

104.0

c)

164.2

d)

50.4

166.

When solving for a side using SOH CAH TOA, if "x" is on the TOP of the ratio, you

a)

subtract

b)

add

c)

divide

d)

multiply

167.

What is the length of y in this picture?

a)

45

b)

$5\sqrt{2}$

c)

90

d)

5

e)

$\frac{5\sqrt{2}}{2}$

168.

What is the length of x in this triangle?

a)

$4\sqrt{2}$

b)

4

c)

8

d)

$4\sqrt{3}$

e)

2

169.

What are the lengths of u and v in this triangle?

a)

$u=8,\ v=4\sqrt{3}$

b)

$u=4\sqrt{2},\ v=8$

c)

$u=16,\ v=8$

d)

$u=4\sqrt{3},\ v=8$

e)

$u=4,\ v=4\sqrt{2}$

170.

Find the value of y.

a)

9

b)

$18\sqrt{2}$

c)

$9\sqrt{2}$

d)

$\frac{9\sqrt{2}}{2}$

e)

$6\sqrt{3}$

171.

Find a.

a)

3

b)

$3\sqrt{3}$

c)

$6\sqrt{3}$

d)

$2\sqrt{3}$

e)

9

172.

Choose the correct value for

\sin\ X

.

a)

$\frac{12}{13}$

b)

$\frac{5}{13}$

c)

$\frac{12}{5}$

d)

$\frac{5}{12}$

e)

$\frac{13}{5}$

173.

What is the correct equation for this diagram?

a)

$\sin40\degree=\frac{w}{28}$

b)

$\cos\ 40\degree=\frac{w}{28}$

c)

$\tan40\degree=\frac{w}{28}$

d)

$\sin40\degree=\frac{28}{w}$

e)

$\cos40\degree=\frac{28}{w}$

174.

Find x.

(Use what you know about special right triangles. Is this 45-45-90 or 30-60-90?)

a)

22

b)

$11\sqrt{3}$

c)

$11\sqrt{2}$

d)

11

175.

Find a.

(Use what you know about special right triangles. Is this 45-45-90 or 30-60-90?)

a)

$2\sqrt{3}$

b)

2

c)

12

d)

6

176.

Solve for x. Round to the nearest tenth.

(Hint: SOH CAH TOA)

a)

103.5

b)

4.7

c)

55.0

177.

Choose the correct ratio. (Hint: SOH CAH TOA)

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

178.

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

a)

12.4 ft

b)

11.3 ft

c)

22.3 ft

d)

49.1 ft

179.

To the nearest whole degree.

a)

66^°

b)

24^°

c)

22^°

d)

^37°

180.

A 10 ft. tree creates a shadow that is 15 ft. long. Find the angle of elevation of the sun.

a)

34 degrees

b)

56 degrees

c)

72 degrees

d)

15 degrees

Final Exam Review Q2 Math 2 Honors

Total questions: 180

Worksheet time: 14hrs 39mins

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