Free Printable Q3 Review Qs Sheet

1.

Add the polynomials:
(3x³+3x²–4x+5) + (x³–2x²+x–4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

2.

Multiply:
(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

3.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

4.

Find the difference.
(3-2x+2x²) - (4x-5+3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

5.

Which expression is equivalent to:
(2x²+5x-7)(x-2)?

a)

2x³ - x² + 17x -14

b)

2x³ + 9x² + 3x +14

c)

2x³ + x² + 3x +14

d)

2x³ + x² - 17x +14

6.

A = 2x² + 3x + 5
C = 3x² - 7x + 12
If A + B = C,
what must B equal?

a)

x² - 10x + 7

b)

5x² - 4x + 17

c)

x² - 4x + 7

d)

5x² - 10x + 17

7.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

8.

$\left(n^3-3n-5n^2\right)+\left(n^2+3+2n^3\right)$

a)

$-n^3-4n^2+n+3$

b)

$3n^3-4n^2+n+3$

c)

$2n^3-4n^2+n+3$

d)

$3n^3-4n^2-3n+3$

9.

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

a)

$-5m^3-2m^2+6m+9$

b)

$-5m^3+m^2+6m+9$

c)

$-5m^3-2m^2+m+9$

d)

$-5m^3+m^2+6m+5$

10.

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

a)

$10x^3-5x^2-8$

b)

$10x^3-10x^2-8$

c)

$10x^3-10x^2-3$

d)

$10x^3-10x^2-7$

11.

Find the PERIMETER of the triangle.

a)

$4x+64$

b)

$4x^2+64$

c)

$3x+50$

d)

$3x^2+50$

12.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

13.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

14.

Is (x-4) a factor of (x³ +x² -16x-16)?

a)

YES

b)

NO

15.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

16.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

17.

$\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}$

a)

$6y^2\ +3y^2\ -4y^2$

b)

$15y^{4\ }+6y^2\ -\ 9$

c)

$6y^{4\ }+3y^2-4$

d)

$6y^{3\ }-3y^2\ +4y$

18.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

19.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

20.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

21.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

22.

what is the range of y=2x+1 when the domain is {-1,0,4}?

a)

R:{-1,1,9}

b)

R:{1,3,9}

c)

R:{-1,0,4}

d)

R:{3,5,9}

23.

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

24.

f(n)=n²+4n
g(n)=-n-5
Find f(n)+g(n)

a)

n²+3n-5

b)

-n³+2n-7

c)

n³+3n-3n

d)

n²-3n-5

25.

f(x) = 6x² + 3x + 2 and g(x) = x - 7

Find f(x) * g(x)

a)

6x³ - 39x² - 19x + 14

b)

6x³ - 39x² - 21x - 14

c)

6x³ - 39x² - 19x - 14

d)

6x³ - 45x² - 19x + 14

26.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

27.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

28.

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (f⋅g)(x).

a)

3x³ - 10x² - 7x - 4

b)

3x³ - 14x² + 9x - 4

c)

3x² - x - 3

d)

3x³ + 14x² - 9x - 4

29.

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

a)

39

b)

-27

c)

-23

d)

-19

30.

$f\left(n\right)=3n+2$ and $g\left(n\right)=-3n-4$ Find: $\left(f+g\right)\left(-10\right)$

a)

-2

b)

91

c)

52

d)

31

31.

$f\left(x\right)=x-1$ and $g\left(x\right)=2x+2$ Find: $\left(f\cdot g\right)\left(2\right)$

a)

160

b)

100

c)

28

d)

6

32.

$\left(\frac{g}{f}\right)\left(3\right)$ $g\left(a\right)=3a+2$ $f\left(a\right)=2a-4$

a)

$\frac{11}{2}$

b)

$-\frac{11}{2}$

c)

$5$

d)

-5

33.

If $f(n)=x^2+1$ and $g(n)=2x-5$ Find $f(n)-g(n)$

a)

$x^2-2x+6$

b)

$-x^2+2x+4$

c)

$-x^2-2x-6$

d)

$x^2-2x-4$

34.

If $f(x)=4x+1$ and $g(x)=4x-3$

Find $f(x)*g(x)$

a)

$16x^2+8x-3$

b)

$16x^2-8x+3$

c)

$16x^2-8x-3$

d)

$16x^2-16x-3$

35.

If $f(x)=3x^2+7x$ and $g(x)=2x^2-x-1$ ,

find $(f+g)(x)$ .

a)

$11x^2-1$

b)

$5x^4+6x^2-1$

c)

$5x^2+6x-1$

d)

$5x^2+8x-1$

36.

If $f(x)=x^2+5$ and $g(x)=2x^3-1$ ,

find $\left(\frac{f}{g}\right)\left(-3\right)$ .

a)

-14/55

b)

14/55

c)

2

d)

-2

37.

If $f(x)=3x^2+4$ and $g(x)=-2x+2$ ,

find $(g+f)(-3)$ .

a)

39

b)

-27

c)

-23

d)

-19

38.

If $f(x)=x^2-25$ and $g(x)=x-5$ ,

find the quotient $\left(\frac{f}{g}\right)(0)$ , if it exists.

a)

(f/g)(0) does not exist

b)

10

c)

5

d)

0

39.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x²-1

d)

5x²-5

40.

If f(x) = x-1 and g(x) = 2x,

what is and g(f(x)) ?

a)

2x²-1

b)

2x-1

c)

2x-2

d)

x-2

41.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

42.

Find g(- 2).

a)

12

b)

-2

c)

-24

d)

18

43.

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

a)

7

b)

97

c)

13

d)

6

44.

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

45.

a)

4

b)

9

c)

3

d)

6

46.

a)

9

b)

-6

c)

6

d)

-2

47.

a)

1

b)

5

c)

6

d)

8

48.

a)

(3x-1)/3

b)

x-3

c)

x/3

d)

x

49.

Given f and g in the graph,

what is f(g(2)) ?

a)

3

b)

8

c)

1

d)

4

50.

Given f and g in the graph,

what is (f ° g)(-1) ?

a)

1

b)

4

c)

-1

d)

6

51.

Given f and g in the graph,

what is f(f(3)) ?

a)

3

b)

2

c)

4

d)

1

52.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ f\right)\left(x\right)$

a)

$\frac{1}{3x}+2$

b)

$3x+2$

c)

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

d)

$\frac{1}{3x+2}$

53.

a)

9 - √17

b)

4

c)

2

d)

√8

54.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

55.

Find g(f(-2))

a)

-18

b)

-2

c)

1

d)

9

56.

Find h(f(-2))

a)

0

b)

2

c)

-2

d)

26

57.

a)

7

b)

6

c)

11

d)

None of the Above

58.

$g\left(f\left(2\right)\right)$

a)

5

b)

3

c)

-1

d)

2

59.

$g\left(g\left(-5\right)\right)$

a)

1

b)

-0.25

c)

3

d)

-1

60.

If $f\left(x\right)=x^2-2,$ $g\left(x\right)=x+9$ and $h\left(x\right)=-3x,$ find $h\left[f\left(g\left(-2\right)\right)\right].$

a)

$-123$

b)

$-141$

c)

$-165$

d)

$134$

61.

If $f\left(x\right)=\frac{6}{7}x+3,$ $g\left(x\right)=\frac{2}{3}x-1$ and $h\left(x\right)=\frac{1}{4}x+6,$ find $f\left[g\left(h\left(24\right)\right)\right].$

a)

$9$

b)

$13$

c)

$27$

d)

$31$

62.

If $f\left(x\right)=x^2-2,$ $g\left(x\right)=x+9$ and $h\left(x\right)=-3x,$ find $f\left[g\left(h\left(3\right)\right)\right].$

a)

$-3$

b)

$7$

c)

$-2$

d)

$-7$

63.

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left[f\circ g\right]\left(3\right).$

a)

$43$

b)

$91$

c)

$80$

d)

$26$

64.

What is the inverse of the points (1,3)(2,4)(6,2)

a)

(2,6)(3,1)(4,2)

b)

(-3,-1)(-4,-2)(-2,-6)

c)

(1,3)(2,4)(6,2)

d)

(-1,-3)(-2,-4)(-6,-2)

65.

Find the inverse
f(x)=2x-2

a)

f^-1(x)=1/2x+1

b)

f^-1(x)=-2-1/2x

c)

f^-1(x)=-7/3x-20/3

d)

2-2/5x

66.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = - 4x - 3

67.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

68.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

69.

What is the DOMAIN of the INVERSE function?

a)

{-7, -2, -1, 1, 4}

b)

{-6, -3, -2, 0, 3}

c)

{-3, 0, 2, 3, 6}

d)

{-4, -1, 1, 2, 7}

70.

Write the inverse of this function:

f\left(x\right)=\sqrt{x-8}

a)

$f^{-1}\left(x\right)=x^2+8$

b)

$f^{-1}\left(x\right)=x+8$

c)

$f^{-1}\left(x\right)=x^2-8$

d)

$f^{-1}\left(x\right)=x-8$

71.

Which graph represents a function?

a)

b)

c)

d)

72.

The formula for the area of a circle is $A=\pi r^2$

a)

$r=\sqrt{\frac{A}{\pi}}$

b)

$r=\frac{A}{\pi}$

c)

$r=\left(\frac{A}{\pi}\right)^2$

d)

$r=\sqrt{A\cdot\pi}$

73.

Are these functions inverses of each other?

a)

Yes

b)

No

74.

Are f(x) =x+6 and g(x) =x-6 inverses?

a)

Yes

b)

No

75.

a)

2

b)

-2

c)

4

d)

-4

76.

a)

5

b)

4

c)

41

d)

82

77.

Solve

a)

102

b)

12

c)

98

d)

7

78.

Solve the equation:

a)

A

b)

B

c)

C

d)

D

79.

a)

1

b)

3

c)

224

d)

226

80.

a)

5

b)

33

c)

85

d)

21

81.

a)

20

b)

11

c)

4

d)

-2

82.

a)

9

b)

-9

c)

21

d)

-21

83.

Solve

a)

-14

b)

14

c)

no solution

d)

28

84.

a)

14

b)

-14

c)

6

d)

-6

85.

a)

x=11 and -5

b)

x= -5

c)

x=11

d)

No Solution

86.

a)

-6

b)

6

c)

-5

d)

5

87.

Solve the radical equation. Don't forget to check your answers!

a)

x = -2

b)

x = 3

c)

x = 5

d)

No Solution

88.

Solve and check your solution(s).

a)

x = -2

b)

x = -2, 3

c)

x = -2, -3

d)

x = -3

89.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

90.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

91.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Above

92.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

93.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

94.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

95.

What does the graph represent?

a)

Exponential Decay

b)

Exponential Growth

96.

Which does y= 2(.5)^xrepresent?

a)

Exponential Growth

b)

Exponential Decay

97.

Which does y=.5(2)^x represent?

a)

Exponential Growth

b)

Exponential Decay

98.

This is the horizontal line which the values of the function cannot fall below :

a)

Asymptote

b)

Growth Factor

c)

Axis of symmetry

d)

Curve

99.

Evaluate f(6).

a)

355.37

b)

3.7

c)

47.51

d)

6

100.

Evaluate g(0)

a)

-9.6

b)

0

c)

0.74

d)

0.9

101.

Identify the horizontal asymptote of the exponential function:

y=3\left(\frac{1}{2}\right)^x

a)

y=3

b)

y=1/2

c)

x=3

d)

y=0

102.

Identify the y-intercept of the graph of the exponential function:

y=3\left(\frac{1}{2}\right)^x

a)

(3,0)

b)

(1/2, 0)

c)

(0,0)

d)

(0,3)

103.

Describe the transformation on

y=2\left(4\right)^x

when if becomes

y=2\left(4\right)^{\left(x-5\right)}

a)

Down 5

b)

Right 5

c)

Left 5

d)

Up 5

104.

Describe the transformation on $y=\frac{1}{4}\left(3\right)^x$ when it becomes $y=\frac{1}{4\ }\left(3\right)^x-9$

a)

Down 9

b)

Left 9

c)

Right 9

d)

Up 9

105.

Identify the horizontal asymptote for the exponential function: $y=\frac{1}{4}\left(3\right)^x-9$

a)

y = 0

b)

y = 3

c)

y = -9

d)

No Horizonal Asymptote

106.

$y=8\left(\frac{1}{2}\right)^{\left(x-3\right)}+5$

Identify the range of the exponential function.

a)

y > -3

b)

y > 5

c)

y < 5

d)

y > -5

107.

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

Identify the range of the exponential function.

a)

y < -3

b)

y > -3

c)

y > -4

d)

y < -4

108.

Describe the transformation on $y=\left(\frac{1}{3}\right)^x$ if it becomes $y=-\left(\frac{1}{3}\right)^{\left(x-7\right)}+2$

a)

Reflection over x-axis, left 7, up 2

b)

Reflection over x-axis, right 7, up 2

c)

Reflection over x-axis, right 2, down 7

d)

Reflection over y-axis, right 7, up 2

109.

What transformations have occurred from $f\left(x\right)=2^x$ to $g\left(x\right)=\left(2\right)^{-x}+5$

a)

Reflection across the y-axis, horizontal shift right 5

b)

Reflection across the y-axis, vertical shift up 5

c)

Reflection across the asymptote, horizontal shift right 5

d)

Reflection across the asymptote, vertical shift up 5

110.

Exponential Growth or Decay?

$y=\left(\frac{7}{2}\right)^x$

a)

Decay

b)

Growth

111.

Y - Intercept?

$y=\left(\frac{1}{2}\right)^x$

a)

$\left(0,0\right)$

b)

(0, 4)

c)

$\left(0,-1\right)$

d)

$\left(0,1\right)$

112.

Asymptote?

$y=\left(\frac{1}{2}\right)^x$

a)

$y=0$

b)

$y=-1$

c)

$y=-5$

d)

$\left(0,1\right)$

113.

Asymptote?

$y=3^x-5$

a)

$y=0$

b)

$y=-1$

c)

$y=-5$

d)

$\left(0,1\right)$

114.

Range?

$y=3^x-5$

a)

$y>-5$

b)

$y>0$

c)

$y<5$

d)

$y>4$

115.

What is the horizontal asymptote and what transformations have taken place?

y = 2^x+2 + 1

a)

y = 2

right 2, up 1

b)

y = 1

left 2, up 1

c)

y = 1

right 2, up 1

d)

y = 2

right 1, up 2

116.

Determine the y-intercept for:

f\left(x\right)=3\left(2\right)^x-7

a)

(0, 1)

b)

(0, 3)

c)

(0, 8)

d)

(0, -4)

117.

Identify the domain?

f\left(x\right)=\left(7\right)^x

a)

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

b)

$\left(0,\infty\right)$

c)

$\left(-\infty,0\right)$

d)

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

118.

Identify the Range.

f\left(x\right)=\left(7\right)^x

a)

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

b)

$\left(0,\infty\right)$

c)

$\left(0,-\infty\right)$

d)

$\left(7,\infty\right)$

119.

Identify "b"

f\left(x\right)=\left(\frac{2}{3}\right)^x+6

a)

-6

b)

$-\frac{2}{3}$

c)

6

d)

$\frac{2}{3}$

120.

What transformations have occurred from $f\left(x\right)=2^x$ to $g\left(x\right)=-3\left(2\right)^x-7$

a)

Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7

b)

Reflection across the asymptote, horizontal shift right 3, vertical shift down 7

c)

Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7

d)

Stretch by a factor of 3, vertical shift down 7

121.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

122.

Solve the exponential equation:

a)

-11/4

b)

6

c)

9/4

d)

8

123.

10^4x+1 > 100^{x - 2}

a)

x > 10

b)

x > -2/5

c)

x < -5/2

d)

x > -5/2

124.

Solve: 7^-x = 49

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = -2

125.

Sovle for x:
5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

126.

3^{2x – 6} = 81

a)

x = log 4

b)

x = 5

c)

x = 4

d)

x = -1

127.

Solve the following exponential equation:

3^3=3^{4x+2}

a)

$x=\frac{1}{4}$

b)

$x=-\frac{1}{4}$

c)

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

d)

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

128.

Solve the following exponential equation:
$\left(\frac{1}{2}\right)^{2x}=4^3$

a)

$x=3$

b)

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

c)

$x=-3$

d)

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

129.

Solve the following exponential inequality:

\frac{1}{49}<343^{2x+3}

a)

$x>\frac{11}{6}$

b)

$x<-\frac{11}{6}$

c)

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

d)

$x>-\frac{11}{6}$

130.

Solve the following exponential inequality:

\left(\frac{1}{64}\right)^{2x+3}\le8^x

a)

$x\ge\frac{18}{25}$

b)

$x\ge-\frac{18}{25}$

c)

$x\ge-\frac{18}{15}$

d)

$x\le-\frac{18}{15}$

131.

Solve for x

a)

1/4

b)

5

c)

1

d)

No solution

132.

(1/8)^{-2x - 6} > (1/32)^-x+11

a)

x > -73

b)

x < -73

c)

x > -37

d)

x < -37

133.

Solve for x.

$4\left(3\right)^{\left(-5x\right)}=972$

a)

-1

b)

1

c)

5

d)

No solution

134.

Solve. $10^{-3x}\cdot10^x=\frac{1}{10}$

a)

$-2$

b)

$\frac{1}{2}$

c)

$2$

d)

$-\frac{1}{2}$

135.

Solve. $4^{-2x}\cdot4^x=64$

a)

$-3$

b)

$3$

c)

$-2$

d)

$2$

136.

Solve. $32^{2x}=8$

a)

$2$

b)

$-2$

c)

$\frac{10}{3}$

d)

$\frac{3}{10}$

137.

Solve for x:

log₂(x+3)=4

a)

16

b)

13

c)

15

d)

10

138.

Solve for x:

log₅(4x-7)=log₅(x+5)

a)

3

b)

4

c)

12

d)

5

139.

Solve for x:

log₂(2) + log₂(8x) = 6

a)

x = 3

b)

x = 4

c)

x = 9

d)

x = 2

140.

Solve for x:

log₈(4x+4)=2

a)

15

b)

10

c)

12

d)

14

141.

log₂(x²- 6) = log₂(2x+2)

a)

4, -2

b)

No Solution

c)

4

d)

-2

142.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

143.

Solve

a)

2

b)

-2

c)

3

d)

-3

144.

Solve

a)

-1/3

b)

-3

c)

-1

d)

3

145.

Solve

a)

-2

b)

6

c)

9

d)

3

146.

Solve

a)

-4

b)

5

c)

-3

d)

-5

147.

Solve for x.

$25^{x+3}=5^{5x-9}$

a)

1

b)

4

c)

5

d)

3

148.

Rewrite 10³ = 1000 in logarithmic form.

a)

log ₁₀₀₀ 3 = 10

b)

log ₃10 = 1000

c)

log 3 = 1000

d)

log 1000 = 3

149.

Evaluate: log ₂16 = x

a)

3

b)

2

c)

4

d)

5

150.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

151.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

152.

log₅25 = ?

a)

2

b)

5

c)

125

d)

10

153.

Evaluate.
log₆(¹/₂₁₆)

a)

3

b)

¹/₃

c)

-¹/₃

d)

-3

154.

Rewrite rewrite in exponential form.
$\log_{\frac{1}{2}}16=-4$

a)

$\left(\frac{1}{2}\right)^{16}=-4$

b)

$16^{\frac{1}{2}}=-4$

c)

$-4^{\frac{1}{2}}=16$

d)

$\left(\frac{1}{2}\right)^{-4}=16$

155.

Evaluate the logarithm.
$\log_5\left(\frac{1}{625}\right)$

a)

4

b)

1/4

c)

-4

d)

-1/4

156.

Evaluate the logarithm.
$\log_40.25$

a)

1

b)

-1

c)

0

157.

Write in logarithmic form:
4⁵ = 1024

a)

log ₄ 1024 = 5

b)

log ₅ 1024 = 4

c)

log ₄ 5 = 1024

d)

log ₅ 4 = 1024

158.

Solve for x:

$\log_4x=3$

a)

$4$

b)

$12$

c)

$32$

d)

$64$

159.

Evaluate: $\log_6\ \frac{1}{216}=x$

a)

$x=3$

b)

$x=\frac{1}{3}$

c)

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

d)

$x=-3$

160.

Find the value of x.

$\frac{1}{3}=\log_x4$

a)

$x=64$

b)

$x=12$

c)

$x=81$

d)

$x=16$

161.

Find the value of x.

$\log_x\ \frac{1}{8}=-3$

a)

$x=-3$

b)

$x=3$

c)

$x=-2$

d)

$x=2$

162.

Solve the equations with logarithms on both sides.
$\log_2\left(5x-7\right)=\log_2\left(x+7\right)$

a)

$x=3.5$

b)

$x=2.33$

c)

$x=16$

d)

$x=0$

163.

$Solve\ \log_33x\ =\ 4$

a)

9

b)

6

c)

27

d)

81

164.

What are the transformations of this graph?

a)

Right 1 Up 5

b)

Right 1 Down 5

c)

Left 1 Up 5

d)

Left 1 Down 5

165.

Describe the transformations of f(x)= -log₂(x+1)

a)

left one & y-axis reflection

b)

right one & y-axis reflection

c)

left one & x-axis reflection

d)

right one & x-axis reflection

166.

What is the term for ln?

a)

natural log

b)

log neutral

c)

neutral log

d)

common log

167.

What does lnx represent?

a)

$\log_{10}x$

b)

$\log_1x$

c)

$\log_ex$

d)

line of x

168.

What is another term for log?

a)

natural log

b)

common log

c)

log base 1

d)

log base e

169.

What is the base of log?

a)

1

b)

10

c)

100

d)

0

170.

Evaluate ln12.

a)

.833

b)

1.079

c)

.083

d)

2.485

171.

Expand: $\log_6\left(\frac{5}{4y}\right)$

a)

$\log_65\ +\ \log_64\ +\ \log_6y$

b)

$\log_65\ -\ \log_64\ +\ \log_6y$

c)

$\log_65\ -\ \log_64\ -\ \log_6y$

d)

$\log_65\ -\ \log_64y$

172.

Condense: $\log\left(5x+2\right)\ -\ \log3\ -\ \log x$

a)

$\log\left(\frac{3x}{5x\ +\ 2}\right)$

b)

$\log\left(\frac{5x\ +\ 2}{3x}\right)$

c)

$\log\left(3x\left(5x+2\right)\right)$

d)

$\log\left(\frac{5x\ +\ 2}{3\ -\ x}\right)$

173.

Expand: $\log_4\left(3x^2\right)$

a)

$2\log_43x$

b)

$2\log_43\ +\ 2\log_4x$

c)

$\log_43\ +\ 2\log_4x$

d)

$2\log_43\ +\ \log_4x$

174.

Condense: $\frac{1}{2}\log_3x\ +\ 5\log_3y$

a)

$\log_3\left(\sqrt{x}y^5\right)$

b)

$\log_3\left(\sqrt{x}y^5\right)$

c)

$\log_3\left(5\sqrt{x}y\right)$

d)

$\log_3\left(xy\right)^{\frac{5}{2}}$

175.

Condense: $3\log_bx\ -\ \log_by\ -\ 5\log_bz$

a)

$\log_b\ \frac{x}{yz^5}$

b)

$\log_b\ \frac{x^3}{yz^{ }}$

c)

$\log\frac{x}{yz^5}$

d)

$\log_b\ \frac{x^3}{yz^5}$

176.

Condense the Logarithm $5\log_{ }a\ -\ 25\log_{ }b$

a)

$\log\ \left(a^5+b^{25}\right)$

b)

$\log\ \left(a^5-b^{25}\right)$

c)

$\log\ \left(ab\right)^{25}$

d)

$\log_{ }\ \left(\frac{a^5}{b^{25}}\right)$

177.

Condense $3\log_{ }x+4\log_{ }y\ +\log_{ }z$

a)

$\log_{ }\ x^3y^4z$

b)

$12\log_{ }\ xyz$

c)

$\log_{ }\ 3x4yz$

d)

logx³y³z³

178.

Simplify: $2\log_3\left(11x\right)$

a)

$\log_3\left(22x\right)$

b)

$\log_3\left(121x\right)$

c)

$\log_3\left(121x^2\right)$

d)

$\log_3\left(11x^2\right)$

179.

Expand using the properties of Logaritms $\log_{ }\ \frac{x^3}{y^4z}$

a)

$\log_{ }x+4\log_{ }y\ +\log_{ }z$

b)

$3\log_{ }x-4\log_{ }y\ -\log_{ }z$

c)

$3\log_{ }x+4\log_{ }y\ +\log_{ }z$

d)

$3\log_{ }x-4\log_{ }y\ +\log_{ }z$

180.

$-2\log3=\log\frac{1}{9}$

True or False:

a)

True

b)

False

181.

Find $m\angle1.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

182.

Find $m\angle2.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

183.

Which is the correct equation to solve for x?

a)

$5x-8=3x+32$

b)

$5x-8+3x+32=180$

184.

What is the measure of ∠ABC?

a)

25°

b)

75°

c)

108°

d)

150°

185.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

186.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

187.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

188.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

189.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

190.

Find m∠D.

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

191.

Angle 4 = x + 15

Angle 2 = 3x - 5

What is the value of x?

a)

5

b)

10

c)

25

d)

x + 15

192.

Angle 1 = 3x - 4
Angle 3 = 5x - 38
Find the measure of Angle 4

a)

17^o

b)

47^o

c)

133^o

d)

55^o

193.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

194.

a)

A

b)

B

c)

C

d)

D

195.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

196.

Solve for x.

a)

13

b)

3

c)

1

d)

4

197.

Find the measure of Angle D.

a)

44

b)

38

c)

82

d)

98

198.

Solve for x

a)

6

b)

140

c)

20

d)

90

199.

Find the value of x

a)

-5

b)

28

c)

19

d)

-3

200.

Solve for x THEN find the degrees for angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

201.

Find y.

a)

2

b)

4

c)

6

d)

8

202.

If BA=5x+5 and AD=10x-20, find BD.

a)

60

b)

30

c)

5

d)

10

203.

Find the value of x that makes that shape a kite.

a)

x = 4.5

b)

x= 4

c)

x = 2

d)

x = 5

204.

What is the value of x in the illustration?

a)

3

b)

4

c)

5

d)

6

205.

Find the value of x and y on the kite.

a)

x=12 y=6

b)

x=6 y=12

c)

x=24 y=12

d)

x=12 y=24

206.

What's the volume of this sphere?

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

207.

V = ?

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

208.

Find the volume. Multiply by pi.

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

209.

Find the volume if the height is 10 inches?

a)

3π in³

b)

9π in³

c)

30π in³

d)

90π in³

210.

Find the volume.

a)

13680 m³

b)

684 m³

c)

1140 m³

d)

228 m³

211.

Find the volume of the rectangular pyramid with base dimensions of 4 yd and 6yd and a height of 9 yd.

a)

216 yd³

b)

108 yd³

c)

72 yd³

d)

36 yd³

212.

Find the volume of the cone with radius of 2 ft and height of 3 ft.

Use 3.14 for π.

Round your answer to the nearest tenth.

a)

12.6 ft³

b)

37.7 ft³

c)

113 ft³

d)

6 ft³

213.

Find the volume of the sphere.

Use 3.14 for π. Round your answer to the nearest tenth.

a)

6658.6 mm³

b)

904.3 mm³

c)

2713.0 mm³

d)

108.8 mm³

214.

Find the volume of the figure.

a)

1815 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

215.

Find the volume.

a)

408

b)

4352

c)

2176

d)

544

216.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

217.

-6x + y = 2
6x + y = 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

218.

Which of these lines are parallel to each other:

1) $y=5x-1$

2) $y=\frac{1}{5}x\$

3) $5y=-1x+11$

a)

1 & 2

b)

2 & 3

c)

1 & 3

d)

None of them

219.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

220.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

Q3 Review Qs Sheet

Total questions: 220

Worksheet time: 13hrs 40mins

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