Free Printable Precalc S1 Final Review

1.

Find the distance between (3, 24) and (7, 56).

a)

32.1

b)

32.2

c)

32.3

d)

32.4

2.

The distance between A(3,1) B(-2,-1) written correctly is:

a)

$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$

b)

$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$

c)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

d)

$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

3.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

4.

Which of the following is the equation of the line that has a slope of 3 and passes through the point ( - 1, 9 )?

a)

y = - 3x + 12

b)

y = 3x + 3

c)

y = 3x + 12

d)

y = 3x - 3

5.

A company produces high-definition DVDs of live concerts. The company places an ad in a trade newsletter. The cost of the ad is $150. Each DVD costs $30 to produce, and the company charges $37.50 per DVD.

Express the company's cost C as a function of x, the number of DVDs produced and sold.

(Make sure there are no spaces in your answer.)

(a)

6.

A company produces high-definition DVDs of live concerts. The company places an ad in a trade newsletter. The cost of the ad is $150. Each DVD costs $30 to produce, and the company charges $37.50 per DVD.

Assuming the company sells x DVDs, express the revenue R as a function of the number of DVDs, x.

(Make sure there are no spaces in your answer.)

(a)

7.

A company produces high-definition DVDs of live concerts. The company places an ad in a trade newsletter. The cost of the ad is $150. Each DVD costs $30 to produce, and the company charges $37.50 per DVD.

Determine the x and y coordinates of the breakeven point between cost and revenue.

(Write your answer as an ordered pair.)

(a)

8.

A company produces high-definition DVDs of live concerts. The company places an ad in a trade newsletter. The cost of the ad is $150. Each DVD costs $30 to produce, and the company charges $37.50 per DVD.

How does the graph of the cost C(x) and the revenue R(x) tell us the breakeven point?

a)

The intersection of the two graphs is the breakeven point.

b)

The slopes of the two graphs is the breakeven point.

c)

We can find the breakeven point from the y-intercepts.

d)

The graphs cannot tell us the breakeven point.

9.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

10.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

11.

What is the Range?

a)

y ≥ 6

b)

$-\infty<y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

12.

What is the Domain?

a)

y ≥ 6

b)

$-\infty<x<\infty$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

13.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

14.

What is a function?

a)

A relation that maps every domain value to exactly one range value.

b)

A relation that maps every range value to exactly one domain value.

c)

Any set of ordered pairs.

d)

Any graph of x and y values.

15.

(a)

16.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

17.

Draw this function with at least 3 points.

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

18.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

19.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

20.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

21.

Name the parent function.

a)

constant

b)

square root

c)

linear

d)

absolute value

22.

Domain is:

a)

All x values, from left to right.

b)

All y values, from bottom to top.

c)

All x values from bottom to top.

d)

All y values from left to right.

23.

Range is:

a)

All x values, from left to right.

b)

All y values, from left to right.

c)

All y values, from bottom to top.

d)

All x values, from bottom to top.

24.

Identify the parent function of the graph.

a)

Logarithmic

b)

Linear

c)

Absolute Value

d)

Cubic

25.

Name this Function:

a)

Linear

b)

Quadratic

c)

Absolute Value

d)

Cubed Root

26.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

27.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

28.

a)

b)

c)

d)

29.

a)

b)

c)

d)

30.

a)

b)

c)

d)

31.

a)

b)

c)

d)

32.

If $f\left(x\right)\ =\left|x\right|$ , write $\left|x+3\right|$ in terms of the function $f$ .

a)

$f\left(x\right)\ -3$

b)

$f\left(x-3\right)$

c)

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

d)

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

33.

If $f\left(x\right)\ =x^2$ , write $4\left(x-4\right)^2$ in terms of the function $f$ .

a)

$4f\left(x\right)\ -4$

b)

$f\left(4x-4\right)$

c)

$4f\left(x-4\right)\$

d)

$f\left(4x\right)-4$

34.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

35.

Describe the transformations

$g\left(-x\right)-4$

a)

Reflected across the x-axis

4 Units Left

b)

Reflected across the x-axis

4 Units Down

c)

Reflected across the y-axis

4 Units Left

d)

Reflected across the y-axis

4 Units Down

36.

Describe the transformation

$h\left(\frac{1}{3}x\right)$

a)

Vertically Stretched by a factor of $\frac{1}{3}$

b)

Vertically Compressed by a factor of $\frac{1}{3}$

c)

Horizontally Stretched by a factor of $\frac{1}{3}$

d)

Horizontally Stretched by a factor of $\frac{1}{3}$

37.

If a function has symmetry with respect to the origin and the point (-3, 5) is on the graph, which other point must be on the graph?

a)

(-5, 3)

b)

(5, -3)

c)

(3, -5)

d)

(-3, 5)

38.

If a function is an even function and the point (-2, 7) is on the graph, which other point must be on the graph?

a)

(-2, -7)

b)

(2, 7)

c)

(2, -7)

d)

(-7, 2)

39.

If a function has symmetry with respect to the x-axis and the point (1, 4) is on the graph, which other point must be on the graph?

a)

(-1, -4)

b)

(-1, 4)

c)

(1, -4)

d)

(4, 1)

40.

For what value of x will the following function be discontinuous?

a)

-1

b)

-2

c)

-3

d)

-4

41.

The function in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

42.

The function shown in the graph is:

a)

even

b)

odd

c)

neither even nor odd

d)

both even and odd

43.

The function shown in the graph is:

a)

even

b)

odd

c)

neither odd nor even

d)

both odd and even

44.

f(x) = 3x² - 4x + 5

g(x) = 5x - 1

Find (f ⋅ g)(x).

a)

15x³ - 23x² + 29x - 5

b)

15x³ - 4x - 5

c)

15x³ + 4x + 5

d)

15x³ + 23x² - 29x - 5

45.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x)? #5

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

46.

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

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

$\frac{7}{2}$

d)

8

47.

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

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

$\frac{7}{2}$

d)

8

48.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

a)

8

b)

-8

c)

28

d)

None of these.

49.

When f(x) = x²- 9

and g(x) = x + 3 ,

find f(x) / g(x).

a)

x - 3

b)

x + 3

c)

x - 12

d)

x - 6

50.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

51.

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)

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

52.

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)

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

53.

Describe the transformation from the parent absolute value function:

$y=8\left|x\right|$

a)

Vertical stretch by a factor of 8

b)

Vertical shrink by a factor of 8

54.

Describe the transformation from the parent quadratic function:

$y=\frac{1}{4}x^2$

a)

Vertical stretch by a factor of ¼

b)

Vertical shrink by a factor of ¼

55.

Factor
4x²-25x+25

a)

4(x-5)(x+5)

b)

(x+5)(4x+5)

c)

(x-5)(4x-5)

d)

(x+2)(9x+1)

56.

Factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

57.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

58.

Solve by completing the square.
$x^2-4x-20=0$

a)

$x=\left\{\pm6\sqrt{2}-2\right\}$

b)

$x=\left\{\pm6\sqrt{2}+2\right\}$

c)

$x=\left\{\pm2\sqrt{6}+2\right\}$

d)

$x=\left\{\pm2\sqrt{6}-2\right\}$

59.

The height in feet, h, of a baseball t seconds after it is hit is given by the function: $h=-16t^2+100t$

After how many seconds (t) is the height 100 feet?

Enter the answer(s) with t =

Separate multiple answers with a comma

(a)

60.

A fireworks shell is fired from a mortar. Its height is modeled by the function: $h=-16\left(t-7\right)^2+784$

At how many seconds is the mortar at its highest point?

(Enter the number only.)

(a)

61.

What type of vertex does this parabola have?

a)

maximum

b)

minimum

62.

What type of vertex does this parabola has?

a)

maximum

b)

minimum

63.

Which is the vertex of y = x²+ 16x + 71 ?

a)

(-8, 7)

b)

(-8, 3)

c)

(8, 10)

d)

(16, -2)

64.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

65.

What are the zeros of the function?

$y=x^2-6x+8$

a)

x=4 and x=2

b)

x=-4 and x = -2

c)

x = 4 and x= -2

d)

x = -4 and x = 2

66.

What is the vertex of this parabola?

\left(x-4\right)^2=8\left(y+5\right)

a)

(3,4)

b)

(4,-5)

c)

(-5,4)

d)

(-4,-3)

67.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

68.

Solve
3x² - 5 = -446

a)

±√-147

b)

7i√3

c)

±7i√3

d)

-7√3

69.

Simplify $\frac{4-9i}{4+14i}$

a)

$\frac{-7}{53}+\frac{49i}{106}$

b)

$\frac{4}{15}-\frac{3i}{5}$

c)

$-\frac{55}{106}-\frac{23i}{53}$

d)

$\frac{4}{21}-\frac{3i}{7}$

70.

Simplify $\frac{8+5i}{1-7i}$

a)

$\frac{-3+76i}{65}$

b)

$\frac{11+77i}{50}$

c)

$\frac{-11-5i}{7}$

d)

$\frac{-27+61i}{50}$

71.

Simplify $\frac{5}{-1-9i}$

a)

$\frac{-2+18i}{41}$

b)

$\frac{-5+45i}{82}$

c)

$\frac{-5+45i}{86}$

d)

$\frac{-2+9i}{17}$

72.

A rectangular piece of land is bordered by a river. The other 3 sides are to be enclosed with 44 feet of fencing.

What is the maximum area that can be enclosed?

a)

1936 ft²

b)

484 ft²

c)

242 ft²

d)

121 ft²

e)

cannot be determined

73.

A farmer wants to construct a rectangular pigpen using 400 ft of fencing. The pen will be built next to an existing stone wall, so only three sides of fencing need to be constructed to enclose the pen. What dimensions should the farmer use to construct the pen with the largest possible area?

a)

100ft x 200ft

b)

102ft x 196 ft

c)

50 ft x 300 ft

d)

50 ft x 175 ft

74.

Find two positive numbers such that the sum of the first number and five times the second number is 40, and their product is maximum.

a)

25 and 3

b)

15 and 5

c)

20 and 4

d)

35 and 1

e)

Cannot be determined

75.

If y= -3x + 24, what value of y can be used to MAXIMIZE the product xy?

a)

48

b)

4

c)

12

d)

24

76.

We need to enclose a field with a fence. We have 500 feet of fencing material and a building is on one side of the field so we won't need any fencing on that side. Determine the dimensions of the field that will enclose the largest area.

a)

x=250 ft, y=125 ft

b)

x=150 ft, y=200 ft

c)

x=125 ft, y=100 ft

d)

x=200 ft, y=150 ft

77.

Which equation best represents the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

78.

Which of the following is the correct formula in determining the vertex of the quadratic function in standard form?

a)

$x=-\frac{b}{2a}$

b)

$x=-\frac{c}{2a}$

c)

$x=\frac{b}{2a}$

d)

$x=-\frac{b}{2c}$

79.

$f\left(x\right)=-2x^2+8x-7$

Determine the vertex of the given quadratic function.

(a)

80.

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

81.

You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

a)

90000

b)

45000

c)

22500

d)

33750

82.

Where are the roots (zeros) of $\left(x-3\right)\left(x+10\right)\left(x+1\right)$ ? (Check all that apply)

a)

-1

b)

-10

c)

-3

d)

3

e)

10

83.

What is the degree of $\left(x-3\right)\left(x+10\right)\left(x+1\right)$ ?

a)

1

b)

2

c)

3

d)

4

84.

Is the leading coefficient of $\left(x-3\right)\left(x+10\right)\left(x+1\right)$ positive or negative?

a)

Positive

b)

Negative

85.

What is the end behavior of $\left(x-3\right)\left(x+10\right)\left(x+1\right)$ ?

a)

Both ends point up

b)

Both ends point down

c)

The left side points up, the right side points down

d)

The left side points down, the right side points up

86.

Which is the graph of $\left(x-3\right)\left(x+10\right)\left(x+1\right)$ ?

a)

b)

c)

d)

87.

Which polynomials have roots with an even multiplicity? (Check all that apply.)

a)

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

b)

$-\left(x+11\right)^4\left(x+4\right)^2$

c)

$\left(x-1\right)\left(x+13\right)$

d)

$\left(x+5\right)^3\left(x+8\right)$

88.

The polynomial
f(x) = 5x⁴ + 2x³ + 2x − 7 can have, at most, how many solutions?

a)

5

b)

4

c)

3

d)

2

89.

a)

The function has an Even degree

b)

The function has a Negative coefficient

c)

The function has an Odd degree

d)

The function has 3 real zeros

90.

a)

Positive Odd

b)

Positive Even

c)

Negative Odd

d)

Negative Even

91.

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

a)

(0,0)

b)

(0,25)

c)

(0,125)

d)

(0,5)

92.

What is the end-behavior of the function
y = -x³ + 6x² + 7x

a)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> -∞

b)

as x-> -∞ f(x) -> ∞
as x-> ∞ f(x) -> ∞

c)

as x->-∞ f(x) -> -∞
as x-> ∞ f(x) -> ∞

d)

as x-> -∞ f(x) -> -∞
as x-> ∞ f(x) -> -∞

93.

What is the leading coefficient?

a)

Positive

b)

Negative

c)

Odd

d)

Even

94.

List all the possible rational zeros
h(x) = x³- 5x²+2x+12

a)

1,2,3,4,6,12

b)

1,2,6,12

c)

1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

95.

List all possible rational zeros
f(x) = 3x⁵-5x²+x+6

a)

1, 2, 3, 6, -1, -2, -3, -6

b)

1/3,2/3,1,2,3,6,-1/3,-2/3,-1,-2,-3,-6

c)

1/3,2/3,1,2,3,6

96.

$\frac{6x^2+19x+3}{x+3}$

(a)

97.

$\frac{15x^2+19x+6}{5x+3}$

(a)

98.

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

a)

0

b)

2x-10

c)

-2x-10

d)

2x+10

99.

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

a)

YES

b)

NO

100.

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

a)

-25

b)

25

c)

113

d)

-113

101.

Decide if (x-3) is a factor of 3x³+10x²-x-12

a)

Yes, it is a factor!

b)

No, it is not a factor!

102.

Is this an example of a polynomial equation?

$y\ =\ 9x^{-4}\ +5x$

a)

Yes

b)

No

103.

Is this an example of a polynomial equation?

$y\ =\ 9x^4\ +5x\ +7\sqrt[]{x}$

a)

Yes

b)

No

104.

Is this an example of a polynomial equation?

$y\ =\ -6.3x^3\ +5.2x^2\ -1$

a)

Yes

b)

No

105.

Use your calculator to find the coordinate of the Absolute Minimum for this function?

$y\ =\ x^4-3x^2+x+1$

a)

There is no Absolute Minimum.

b)

(-1.1, -2.5)

c)

(0, 1)

d)

(0.2, 1.1)

106.

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

107.

Is this expression a polynomial?

NOTE - A variable is in the denominator of the expression.

a)

Yes, it is a polynomial.

b)

No, it is not a polynomial

108.

What is the equation in factored form of this graph?

a)

f(x) = (x-4)(x-1)²(x+2)(x+4)

b)

f(x) = (x-4)(x+1)²(x+2)(x+4)

c)

f(x) = (x-4)(x-1)²(x-2)(x+4)

d)

f(x) = (x+4)(x+1)²(x-2)(x-4)

109.

What are the x-intercepts?

a)

x= 2/3

b)

x= 4, x = -2

c)

x= -8, x = 1

d)

x= -4, x = 2

110.

What are the asymptotes?

a)

x=1, x= 2, y =1, y= 2

b)

x= 2, x=-2, y = 1

c)

x=2 y =-1

d)

x=1 y =2, y =-2

111.

What is the horizontal asymptote to this function?

a)

y=4

b)

y=0

c)

y=-2

d)

y=1

112.

Where is the removable discontinuity?

a)

x=2

b)

x=2 and x=3

c)

x=-3

d)

x=3

113.

Find the horizontal asymptote:

a)

y = 0

b)

y = 1

c)

None

d)

y = 3/2

114.

Graph the function.

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

a)

b)

c)

d)

115.

Find the domain of the function:

f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}

a)

$D:\ \ all\ Real\ numbers,\ x\ne2,3$

b)

$D:\ \ all\ Real\ numbers,\ x\ne-3,-2$

c)

$D:\ \ all\ Real\ numbers,\ x\ne-3,1$

d)

$D:\ \ all\ Real\ numbers,\ x\ne-1,3$

116.

Find the vertical asymptotes of the function:

f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}

a)

$x=2,3$

b)

$x=-3,-2$

c)

$x=-3,1$

d)

None

117.

Find the x-intercepts of the function:

f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}

a)

$-3,1$

b)

$2,3$

c)

$-1,3$

d)

$-1$

118.

Find the y-intercept of the function:

f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}

a)

$-1$

b)

$-3$

c)

$1$

d)

$-3,1$

119.

Find the domain of the function:

f\left(x\right)=\frac{x^2-12x+20}{3x^3+24}

a)

$D:\ \ all\ Real\ numbers,\ x\ne-2$

b)

$D:\ \ all\ Real\ numbers,\ x\ne2$

c)

$D:\ \ all\ Real\ numbers,\ x\ne2,10$

d)

$D:\ \ all\ Real\ numbers,\ x\ne-10,-2$

120.

What is the equation of the slant asymptote?

a)

y = x + 1

b)

y = x + 2

c)

y = x + 3

d)

y = x

121.

What is the equation of the graph?

a)

b)

c)

d)

122.

What is the equation of the graph?

a)

b)

c)

d)

123.

Which statements are true for the given rational function. Select all that apply.

a)

The horizontal asymptote is at y = 0.

b)

There is a hole at (6, ¾ ).

c)

The vertical asymptote is at x = -2.

d)

The x and y intercepts are at the origin.

e)

The domain is all real numbers except -2.

124.

Solve for r

a)

5

b)

- 5, 4

c)

- 5

d)

5, 4

125.

Solve the equation for x.

a)

7

b)

6

c)

14

d)

0

126.

Solve.

a)

x = 4.5

b)

x = -4.5

c)

x = 3

d)

x = -3

127.

Solve for v

a)

- 7/6

b)

- 9/5

c)

9/5

d)

-3

128.

Simplify $\frac{7n}{3n-18}+\frac{n+3}{3}$

a)

$\frac{8n+3}{3n-15}$

b)

$\frac{n^2+4n-18}{3\left(n-6\right)}$

c)

$\frac{7\left(n+3\right)}{3\left(3n-18\right)}$

d)

$\frac{7n+n+3}{3n-18+3}$

129.

$\frac{4x}{x-5}-\frac{3}{x-6}$ Simplify

a)

$\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$

b)

$\frac{4x-3}{2x+1}$

c)

$\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}$

d)

$\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}$

130.

$2-\frac{7}{x^2+x-30}$ Simplify

a)

$\frac{2x^2-2x-67}{\left(x-6\right)\left(x+5\right)}$

b)

$\frac{-5}{\left(x+6\right)\left(x-5\right)}$

c)

$\frac{-5}{x^2+x-30}$

d)

$\frac{2x^2+2x-67}{\left(x+6\right)\left(x-5\right)}$

131.

$\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$

a)

$\frac{2}{m-64m^2}$

b)

$\frac{16m^2}{8m^2\left(m-8\right)}$

c)

$\frac{2}{64m^4\left(m-8\right)}$

d)

$\frac{2}{m-8}$

132.

The frequency of a violin string varies inversely as its length. Suppose a violin string 0.65 meters long vibrates 4.3 times per second. What frequency would a string 0.5 meters long have?

a)

5.59 Times Per second

b)

5.9 Times per second

c)

2.15 Times per second

d)

2.795 Times per Second

133.

The volume V of a special coolant liquid varies inversely as the pressure P on it. If the volume is 240 cm^3 under pressure of 30 kg per cm^2 what pressure has to be applied to have a volume of 160 cm^3 ?

a)

45 kg per cm^2

b)

15 kg per cm^2

c)

60 kg per cm^2

d)

None of the options are correct

134.

The equation
xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

135.

If y varies inversely as x, and y = 32 when x = 3, find x when y = 15.

a)

3/5

b)

8/5

c)

16/5

d)

32/5

136.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

Precalc S1 Final Review

Total questions: 136

Worksheet time: 5hrs 55mins

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