# Multiple Choice Questions.

Question 1

10 points

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Multiply: a) ( x - 15)( x + 21). b) (W - 8 )( W + 8 )

[ Hint: for a), see page 287 and for b) see example 23 on page 292 ]

a.

a) X2 + 6X + 315. b) (W2 - 16 )

b.

a) X2 - 6X - 315. b) (W2 - 64 )

c.

a) X2 + 6X - 315. b) ( W2 - 64 )

d.

a) X2 - 6X + 315. b) (W2 + 64 )

Question 2

10 points

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Evaluate; ( -2.34 X )3

[Hint; all the factors inside the parenthesis, -2.34 and X should be cubed ]

a.

12.81 X3

b.

-2.34 X3

c.

-12.81 X3

d.

-12.81X2

Question 3

10 points

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Convert to Scientific Notation: 57,000,000,000,000

[Hint; see page 248 ]

a.

570 x 10-10

b.

5.7 x 1013

c.

57 x 10-11

d.

5.7 x 1015

Question 4

10 points

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The sum of 1010 and five times a number is 4185. What is the number?

[ Hint: Let, that number be X, then five time the number is 5X, ... ]

a.

635

b.

432

c.

529.17

d.

421

Question 5

10 points

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Solve for X: 10(10X + 11) = 10

a.

X = 10

b.

X = 1

c.

X = -10

d.

X = - 1

Question 6

10 points

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Find the Slope of the line that goes through the following points on the X, Y-axis plane: A(x1 = 8, y1 = 6) and B(x2 = 6, y2 = -1).

[Hint; use the formula down the page 208 for Slope! ]

a.

Slope is zero

b.

Slope is undefined

c.

Slope is 7/2

d.

Slope is 6/8 or 3/4

Question 7

10 points

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Factor: Y2 - 8Y - 20

[Hint; see page 331 ]

a.

( Y + 2 ) ( Y - 10 )

b.

( Y + 10)( Y - 2 )

c.

( Y - 4)( Y + 5 )

d.

( Y - 1 )( Y + 20 )

Question 8

10 points

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Find the value of Polynomial; 27X2 + 54X - 2 when X = 2

a.

216

b.

0

c.

81

d.

214

Question 9

10 points

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Determine whether the graphs of the Lines with the given Equations are Parallel, Perpendicular or neither. Eq#1 2X + 3Y = 4 and

Eq#2 Y = - 2/3 X + 8

[Hint; find the slope of each line and then compare them]

a.

Lines are Parallel

b.

Lines are Neither

c.

Lines are Perpendicular

d.

Can not be determined

Question 10

10 points

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Two angeles are Supplementary. Find the measurement of each if the larger angle is 7 times of the smaller one! (by definitions; the sum of two supplementary angles is 180 degrees).

[Hint; if one angle is X the other one is 7X and the total is 180 so, find the X which is the smaller angle]

a.

150? and 30?

b.

144? and 36?

c.

157.5? and 22.5?

d.

160? and 20?

Question 11

10 points

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Determine whether (X=3, Y=-2 )is a solution of the System of Equations:

(1) - 3X + 3Y = -15 (2) 5X - Y = 17

[Hint; see example #1 page 531]

a.

The Ordered pair Satisfies none of the Equations.

b.

Can not be determined in this way!

c.

The Ordered pair Satisfies the both Equations!

d.

The Ordered Pair Satisfies only one Equation!

Question 12

10 points

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Solve for x: x2 + 2x - 24 = 0

[Hint; first, factor the equation, then find the answers ]

a.

Can not be determined

b.

X = - 6 and X = 4

c.

X = 8 and X = 3.

d.

X = - 8 and X = 3.

Question 13

10 points

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Solve for Y: Y2 = 289

[Hint; at first review page 643. take square root from the both sides. Find the closest answer ! ]

a.

Y = 18

b.

Y= -17

c.

Y = 289

d.

Y = 144.5

Question 14

10 points

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Three consecutive even numbers add to 204, what are they?

[Hint; if the first number is X then next would be X+2 and the third one is X+4. This sum is 204 so, find X ! ]

a.

66 , 68 , 70

b.

67 , 68 , 69

c.

66 2/3 , 67 2/3, 68 2/3.

d.

66 1/3 , 67 1/3, 68 1/3.

Question 15

10 points

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Solution A is 80% Alcohol and Solution B is 30% Alcohol. How many Liters of each Solutions should be mixed in order to make 200 liters of a Solution that is 62% Alcohol ?

[Hint; see example 3 page 557 ]

a.

128 Liters of Solution A and 72 Liters of Solution B.

b.

160 Liters of Solution A and 40 Liters of Solution B.

c.

150 Liters of Solution A and 50 Liters of Solution B.

d.

40 Liters of Solution A and 160 Liters of Solution B.

Question 16

10 points

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Find the Slope and Y-Intersection of a Line that has the following equation. 3Y = 2X - 8

[hint; first, convert the equation into form of y = mX + b. Then, m is the slope and b is the Y-Intercept ]. See example 1 page 484 !n,

a.

Slope; m = - 3/4, Y- Intercept; ( -1, 8/3)

b.

Slope; m = 2/3, Y- Intercept; ( 0, - 8/ 3 )

c.

Slope; m = 2/3, Y- Intercept; ( 0, 3 )

d.

Slope; m = -2/3, Y- Intercept; ( 0, 3)

Question 17

10 points

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Y varies directly as X. When Y is 10, X is 15. Find Y, when X is 32.

[Hint;see example 2on page 510 ]

a.

When X = 32 then Y is; 21 1/3

b.

When X is 32 then Y = 165

c.

Can not be determined

d.

When X is 32 then Y = 5

Question 18

10 points

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Given the function of; g(x) = 5x -120 find:

a) g( 5 ) and b) g( -1 )

a.

g (5) = 95 and g(-1) = - 125

b.

g (5) = 95 and g(-1) = 125

c.

g (5) = - 95 and g(-1) = - 125

d.

g (5) = - 95 and g(-1) = 125

Question 19

10 points

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Factor Completely the following Expression: 27X4 - 108 X2

[Hint; see example 3 on page 324 ]

a.

27X2 (X2 - 4 )

b.

27X2 ( X - 2 ) ( X + 2 )

c.

27X2 (X2 + 4 )

d.

27X2 (X2 - 4 ) ( X + 2 )

Question 20

10 points

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Solve for x;

a.

X = -7

b.

X = -14

c.

X = 7

d.

X = - 4

Question 21

10 points

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The sum of three consecutive numbers is - 537. What are these numbers?

[Hint; If the first number is X then the next one is X+1 and the third one is X+2. the sum of these numbers is -537 so, find X first] .

a.

177, 179, 181

b.

-177, -179, -181

c.

-178, - 179, -180

d.

178, 179, 180

Question 22

10 points

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Find the LCM for the following Terms; 12X3Y, 6X2 Y3, 18X4Y2

a.

36X3 Y2

b.

72X4Y

c.

36X4Y3

d.

108X4Y3

Question 23

10 points

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Find the X and Y- Intercept of the linear equation: Y = 6X + 3.

[Hint; see example #1 on page 197 ]

a.

X-Intercept: (- 2, 0) Y-Intercept: ( 0, 6 )

b.

X-Intercept: ( -. 5, 0) Y-Intercept: ( 0, 3 )

c.

X-Intercept: ( 0, - 0.5 ) Y-Intercept: ( 3, 0 )

d.

X-Intercept: (- 6, 0) Y-Intercept: ( 0, -2 )

Question 24

10 points

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Solve: x2 - 1024 = 0

a.

X = -32 and X = 32

b.

X = 256 and X = 4

c.

X = 512 and X = -512

d.

X = 32

Question 25

10 points

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Solve; 5X2 - 8 X + 3 = 0 using the quadratic formula [Hint see example 1, on page 662 ]

a.

X = 3 and X = - 1/3

b.

X = -1 and X = 1/5

c.

X = 1 and X = 3/5

d.

X = 1 and X = - 2/5

#### Solution Summary

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