Free Printable Feb 14th Returning Period Assignment

1.

Given the function:
f(x) = x³ - 4
What is the domain of this function?

a)

4 ≤ x ≤ ∞

b)

-4 ≤ x ≤ ∞

c)

-∞ ≤ x ≤∞

d)

1.5 ≤ x ≤∞

2.

a)

I

b)

II

c)

III

d)

IV

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

Identity property of multiplication

b)

Inverse property of multiplication

c)

Commutative property of multiplication

d)

Associative property of multiplication

8.

Factor x²-11x-60

a)

(x-12)(x-5)

b)

(x-15)(x+4)

c)

(x-15)(x-4)

d)

(x+12)(x-5)

9.

Given the function f(x) = log(x-2), find the domain.

a)

-∞ ≤ x≤ ∞

b)

2 ≤ x ≤∞

c)

-2 ≤ x ≤ ∞

d)

0 ≤ x ≤∞

10.

a)

A

b)

B

c)

C

d)

D

11.

Factor
x³ - 125

a)

(x + 5) (x - 5)

b)

(x - 5)(x² + 5x + 25)

c)

(x - 5)(x² - 5x + 25)

d)

(x - 5)³

12.

The graph of a parent function is shown. Which function belongs to the same family?

a)

(x - 2) ²

b)

I x - 2 I

c)

(x - 2)³

d)

√(x-2)

13.

Simplify the expression completely.

a)

-x - 1

b)

x + 1

c)

1

d)

-1

14.

Simplify completely.

a)

b)

c)

d)

15.

Solve the equation by factoring:
5x² - 35x + 60 = 0

a)

3, -4

b)

-3, 4

c)

3, 4

d)

-3, -4

16.

What is the increasing interval for the following function?
f(x) = 3x² - 9

a)

0 ≤ x ≤∞

b)

-9 ≤ x ≤∞

c)

-∞ ≤ x ≤ -9

d)

-∞ ≤ x ≤∞

17.

Which of the following is a factor of the polynomial shown?

a)

b)

c)

d)

18.

Solve 3x² - 11x + 10

a)

1.7 or 2

b)

1 or 2

c)

1.5 or 2

d)

-1.7 or 2

19.

a)

A

b)

B

c)

C

d)

D

20.

a)

A

b)

B

c)

C

d)

D

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

A

b)

B

c)

C

d)

D

23.

Which is a solution to this system of equations?

y = 2x

y = 9x - 7

a)

(4, 8)

b)

(1, 2)

c)

(3, 20)

d)

(2, 1)

24.

What is the solution of this system of equations?

x + 2y = 23

4x - y = -7

a)

(1, 11)

b)

(-11, 1)

c)

(-1, -11)

d)

(11, 1)

25.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

26.

a)

y = 4

b)

y = 0

c)

y = -1

d)

y = -10

27.

a)

b)

c)

d)

28.

a)

-4

b)

0

c)

8

d)

10

29.

a)

b)

c)

d)

30.

a)

b)

$8x^5-165$

c)

$8x^4-4$

d)

$8x^4-19$

31.

a)

b)

c)

d)

32.

a)

(-4,0)

b)

(-2,0)

c)

(-1,0)

d)

(1,0)

e)

(4,0)

33.

(a)

34.

a)

b)

c)

d)

35.

a)

b)

c)

d)

36.

a)

b)

c)

d)

37.

a)

b)

c)

d)

38.

a)

0

b)

1

c)

2

d)

3

39.

a)

b)

c)

d)

40.

a)

b)

c)

d)

41.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

42.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

43.

Simplify: ∛? = 3∛5

a)

32

b)

135

c)

45

d)

27

44.

a)

A

b)

B

c)

C

d)

D

45.

a)

A

b)

B

c)

C

d)

D

46.

Range 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.

47.

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.

48.

This graph belongs to which Parent?

a)

Exponential Parent Function

b)

Logarithmic Parent Function

c)

Irrational Parent Function

d)

Rational Parent Function

49.

Are the graphs inverses?

a)

yes

b)

no

50.

Which is the inverse of the table?

a)

b)

c)

d)

51.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

52.

a)

(-4,0)

b)

(-2,0)

c)

(-1,0)

d)

(1,0)

e)

(4,0)

53.

a)

b)

c)

d)

54.

a)

b)

$8x^5-165$

c)

$8x^4-4$

d)

$8x^4-19$

55.

a)

34%

b)

50%

c)

68%

d)

95%

56.

(a)

57.

a)

b)

c)

d)

58.

a)

-4

b)

0

c)

8

d)

10

59.

a)

b)

c)

d)

60.

a)

y = 4

b)

y = 0

c)

y = -1

d)

y = -10

61.

a)

b)

c)

d)

62.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

63.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

64.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

65.

State what type of variation the equation represents.

a)

Direct

b)

Inverse

c)

Joint

d)

None

66.

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

a)

12 g

b)

6 g

c)

27 g

d)

54 g

67.

The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?

a)

308.05 ft

b)

295.75 ft

c)

296.09 ft

d)

253.5 ft

68.

The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?

a)

44.96 ft³

b)

49.96 ft³

c)

40.96 ft³

d)

32.96 ft³

69.

Determine the type of variation.

a)

Direct

b)

Inverse

c)

None

70.

If f varies jointly as q² and h, and f = 96 when q = 4 and h = 3, find q when f = 48 and h = 6.

a)

4

b)

2

c)

6

d)

3

71.

If m varies directly as p, and m = 35 when p = 5, find m when p is 6.

a)

42

b)

36

c)

25

d)

49

72.

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

a)

7

b)

9

c)

5

d)

21

73.

The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per

second. Find the frequency of a 5 foot string.

a)

105 cycles

b)

291.7 cycles

c)

2625 cycles

d)

332 cycles

74.

The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the

velocity. If a wind blowing at 50 mph exerts a force of 75 pounds on a surface of 500 ft², how much force will a

wind of 75 mph place on a surface of 10 ft²?

a)

2.25 pounds

b)

3.375 pounds

c)

0.67 pounds

d)

1 pound

75.

The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the

shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?

a)

6.5 hours

b)

7.75 hours

c)

8.9 hours

d)

10.2 hours

76.

HyVee found that the demand for Coke products varies inversely as the price of the product. When the price of a Coke product is $2.75, the weekly demand is 1250. Find the weekly demand if the price is raised to $4.00.

a)

859.4

b)

1818.2

c)

1604.4

d)

723.5

77.

Determine the type of variation.

a)

Direct

b)

Inverse

c)

None

78.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

79.

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

80.

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

81.

a varies inversely as the square of b. If a is 1 when b is 3, find a when b is 5.

a)

0.36

b)

9

c)

25

d)

36

82.

If f varies jointly as q² and h, and f = 96 when q = 4 and h = 3, find q when f = 48 and h = 6.

a)

4

b)

2

c)

6

d)

3

83.

Suppose p varies directly as r, and p varies inversely as t.
t = 20 when p = 4 and r = 2.
Find t when r = 10 and p = -5.

a)

80

b)

-80

c)

4

d)

-20

84.

Suppose f varies directly as g, and f varies inversely as h.
f = -12 when h = 4 and g = -3.
Find g when f = 28 and h = 8.

a)

14

b)

-14

c)

16

d)

-16

85.

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

a)

5.33 hours

b)

6.75 hours

c)

12 hours

d)

10 hours

86.

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

a)

y = 4x

b)

y = 144x

c)

y = 4/x

d)

y = 144/x

87.

The volume, V, of a cone varies directly the height, h, of the cone and the square of radius its base, r.

Which of the following represents the relationship between V, h and r?

Isi padu, V, bagi sebuah kon berubah secara langsung dengan tingginya, h, dan kuasa dua jejari tapaknya, r.

Antara yang berikut, yang manakah menunjukkan hubungan antara V, h dan r?

a)

V ∝ h²r

b)

V ∝ r²/h

c)

V ∝ hr²

d)

V ∝ h/r²

88.

Given that the relationship between q, r and s is represented by the diagram, where t and u are constant.

If q varies directly as the cube of r and inversely as the square of S, the values of t and of u are

Diberi hubungan antara q, r dan s diwakili oleh persamaan di dalam rajah, dengan t dan u ialah pemalar.

Jika q berubah secara langsung dengan kuasa tiga r dan berubah secara songsang dengan kuasa dua s, nilai t dan nilai u ialah

a)

t = 3, u = 2

b)

t = 3, u = - 2

c)

t = -3, u = 2

d)

t = - 3, u = -2

89.

Given that v ∝ w²/x and v = 7 when w = 3 and x = 9, express v in terms of w and x.

Diberi v ∝ w²/x dan v = 7 apabila w = 3 dan x = 9, ungkapkan v dalam sebutan w dan x.

a)

v = 5w²/x

b)

v = 6w²/x

c)

v = 7w²/x

d)

v = 8w²/x

90.

Given that a ∝ y/z³ and a = 7 when y = 7 and z = 4.

Express a in the terms of y and z.

Diberi a ∝ y/z³ dan a = 7 apabila y = 7 dan z = 4.

Ungkapkan a dalam sebutan y dan z.

a)

a = 46y/z³

b)

a = 46yz³

c)

a = 64y/z³

d)

a = 64yz³

91.

The table shows the values of y, z and a.

If y varies directly as square root of z and inversely as the cube of a, the variation in equation form is

Jadual menunjukkan nilai bagi y, z dan a.

Jika y berubah secara langsung dengan punca kuasa dua z dan berubah secara songsang dengan kuasa tiga a, hubungan ini dalam bentuk persamaan ialah

a)

b)

c)

d)

92.

The table shows the values of P, Q and R. Given that PR²/Q = k, where k is constant.

Find the value of a.

Jadual menunjukkan nilai-nilai bagi P, Q dan R. Diberi PR²/Q = k, di mana k ialah pemalar.

Cari nilai a.

a)

1

b)

2

c)

3

d)

4

93.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

94.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

95.

What is the solution to this system?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

96.

Based on the equations for each line, determine how many solutions the system would have.

y=2x+3

y=-4x+3

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

97.

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

98.

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

99.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

100.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

101.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

102.

The solution to this system is...

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

(-4, -2)

103.

Solve the system given:
3x - y = 7
2x + y = 3

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

104.

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

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

105.

Match the following graphs to the systems of equations

a)

1.

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

$y=\frac{2}{3}x-2$

b)

2.

$y=-x+7$ $y=2x+1$

c)

3.

$y=-2x+4$ $y=-2x+4$

106.

Which of the following graphs would fit the system of equations?

$y=2x-4$

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

a)

b)

c)

107.

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

a)

b)

c)

108.

Which of the following is NOT a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

109.

a)

10

b)

-10

c)

10i

d)

-10i

110.

(3 + 2i) + (4 - 5i)

a)

7 + 7i

b)

1 - 3i

c)

1 - 7i

d)

7 - 3i

111.

(4 - 2i) - (3 + 6i)

a)

7 - 4i

b)

1 + 4i

c)

1 - 8i

d)

7 - 8i

112.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

113.

√-36

a)

6

b)

-6

c)

-6i

d)

6i

114.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

115.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

116.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

117.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

118.

-6i+3i

a)

3i

b)

-3i

c)

-2i

d)

-3i²

119.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

120.

How do you write a complex number?

a)

a-bi

b)

a+bi

c)

ai+b

d)

ai-b

121.

3i+5i+2i+10

a)

10

b)

10i+10

c)

10i

d)

100i

122.

(3i)(5i) (Hint: $i^2$ =-1)

a)

15

b)

-15

c)

15i

d)

-15i

123.

$i=\sqrt[]{-1}$

a)

True

b)

False

124.

a)

10

b)

-10

c)

10i

d)

-10i

125.

a)

5i

b)

-5i

c)

5+i

d)

-5

126.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

127.

Simplify:
i⁷

a)

i

b)

-i

c)

1

d)

-1

128.

Solve
3x² - 5 = -446

a)

±√-147

b)

7i√3

c)

±7i√3

d)

-7√3

129.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

130.

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

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

131.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

132.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

133.

Simplify
(-6 - 2i)²

a)

32

b)

36-4i

c)

36+24i

d)

32+24i

134.

a)

A.

b)

B.

c)

C.

d)

D.

135.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

136.

Simplify:
(7 + 2i)(9 - 6i)

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

137.

What does i² = ?

a)

-1

b)

√-1

c)

1

d)

-√1

138.

Simplify
3i - (4 + 7i)

a)

-4 + 10i

b)

21 - 12i

c)

4 - 10i

d)

-4 - 4i

139.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

140.

Multiply
(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

141.

Multiply
(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

142.

Multiply:
(4 – 3i)(7 + 2i)

a)

A. 22 - 13i

b)

B. 28 - 19i

c)

C. 34 - 13i

d)

D. -34 - 29i

143.

The expression (2 + 3i)² is equal to

a)

-5

b)

-5 + 12i

c)

13

d)

13 + 12i

144.

(-5 + 10i)(-5 - 10i) = 125

a)

True

b)

False

145.

What letter represents an imaginary number?

a)

a

b)

i

c)

j

d)

x

146.

(4-5i)(4+5i)

a)

41

b)

-9

c)

41+40i

d)

-9+40i

147.

(-7+6i)²

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

Feb 14th Returning Period Assignment

Total questions: 147

Worksheet time: 37hrs 45mins

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