1. Solve

1
1.) Solve graph the inequality 4x 2 lt 3(x4)

• 4x 2 lt 3x 12
• 4x-3x 2 lt 3x-3x12
• x 2 lt 12
• x 2-2 lt 12-2
• x lt 10

0
5
10
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2.) Graph -4 lt x lt 2

• -4 lt x lt 2

0
2
4
6
-2
8
-4
Open Dot
Closed Dot
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3.) Solve -6 lt -4x - 8 lt 2

• -6 lt -4x - 8 lt 2
• -6 8 lt -4x - 8 8 lt 2 8
• 2 lt -4x lt 10
• 2/-4 lt -4x/-4 lt 10/-4
• -1/2 lt x lt -5/2

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4.) Solve x5 gt 2
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• x5 lt -2
• x5-5 lt -2-5
• x lt -7

• x5 gt 2
• x5-5 gt 2-5
• x gt -3

x5 lt -2 x5 gt 2
x lt -7 or x gt -3
Remember lt is and , gt is or
5
5.) Graph x 2 gt 3

• x 2 gt 3
• x 2-2 gt 3-2
• x gt 1

• x 2 lt -3
• x 2-2lt -3-2
• x lt -5

x 2 gt 3 x 2 lt -3
-5 gt x gt 1
0
2
4
6
-2
-4
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6.) Graph 2x - y gt -5

• 2x -y gt -5
• 2x - 2x -y gt -2x -5
• -y gt -2x -5
• -y/-1 gt (-2x -5)/-1
• y lt 2x 5

Graph it
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6.) Graph y lt 2x 5
Sketch y 2x 5
Y
Now pick a point on one side of the dotted line
(0,0)
X
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Test a Point
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• Take the point (0,0) and plug in the values in y
  lt 2x 5
• y lt 2x 5
• 0 lt 2(0) 5
• 0 lt 5

True
Since its True, Shade the (0,0) side.
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6.) Graph y gt 2x 5
Y
y 2x 5
X
(0,0)
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7.) Graph y -2x 6 -2x
y 2
Y
-2x y 2
y -2x 6
X
Solution (1,4)
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8.) If you solve by substitution, what is your
first step?

• x 2y 15x - 4y -23

• The first step is to solve for x by subtracting
  2y from each side
• x 2y - 2y 1 - 2y
• x 1 - 2y

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9.) Solve by linear combination
-x2y 12 x6y 20

• -x2y 12 x6y 20
• 8y 32
• 8y/8 32/8
• y 4

• x 6y 20
• x 6(4) 20
• x 24 20
• x24-2420-24
• x -4

(-4,4)
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10.) Determine if the systemhas no solutions,
one solutions, or many solutions.
Since they are the same equations, there are many
Solutions

• 4x - 6y 182x - 3y 9
• 2(2x - 3y 9)
• 4x - 6y 18

When would there be No Solutions?
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11.) Determine the solution to the system of
inequalities
x 2y lt 42y lt x 4

• x 2y lt 4
• x-x2y lt 4-x
• 2y/2lt(-x4)/2
• y lt -?x 2

• 2y lt x 4
• 2y/2lt(x4)/2
• y lt ?x 2

Now graph them!
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y lt -?x 2y lt ?x 2
(11)
Y
Now pick a point on one side of both lines (0,0)
X
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Test a Point
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• Take the point (0,0) and plug in the values in y
  lt -?x 2
• y lt -?x 2
• 0 lt -?(0) 2
• 0 lt 2

True
Since its True, Shade the side (0,0) is on.
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y lt -?x 2y lt ?x 2
(11)
Y
X
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12.) Simplify 62 65

• 62 65
• (66) (66666)
• 625
• 67

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13.) Simplify (53)2

• (53)2
• (53)(53)
• 523
• 56

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14.) Simplify the product (5r2s3)4

• (5r2s3)4
• (5r2s3)(5r2s3)(5r2s3)(5r2s3)
• 54r8s12

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15.) Simplify the product a6 a-4

• a6 a-4
• a6 1/a4 a6/a4
• aaaaaa aaaa

• a6-4 a2

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16.) Rewrite using positive exponents 7-2

• 7-2 1/72 1/49

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17.) Multiply 22 6 70

• 22 6 70
• 4 6 1
• 24

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18.) Rewrite using positive exponents 7A-2B

• 7A-2B
• 7B/A2

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19.) Which is equivalent to 39/34

• 39/34 39-4 35

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20.) Simplify (-42x3y2)/(36xy5)

• (-42x3y2)(36xy5)
• -7x2/6y3

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21.) Write in Scientific Notation 83,470,000

• 83,470,000
• Move the decimal point 7 places to the left so
  that the value is between 1 and 10.
• 8.347 x 107

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22.) Write 0.00000573 in Scientific Notation

• 0.00000573
• Move the decimal point 6 places to the right so
  that the value is between 1 and 10.
• 5.73 x 10-6

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23.) Simplify 6 10

• 6 10
• 60 2235

• 2 15

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24.) Simplify8 ( 3 6)

• 24 48
• 2 6 4 3

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25.) Simplify 80 20

• 80 20
• 445 225

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• 4 5 2 5
• 6 5

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26.) Whats the perimeter of the triangle.

• a2 b2 c2
• 122 52 c2
• 144 25 c2
• 169 c2
• 13 c

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12
5
Perimeter 1251330
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27.) Solve 4x2 144

• 4x2/4 144/4
• x2 36
• x2 36
• x 6

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28.) Graph y x2 6
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29.) Solve by the Quadratic formula x2 6x -16
0

• x -b b2 - 4ac 2a
• x -6 (6)2 - 4(1)(-16)
  2(1)

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29.) Solve by the Quadratic formula x2 6x -
16 0

• x -6 36 64 2
• x -6 100 -6 10 2
  2

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29.) Solve by the Quadratic formula x2 6x -
16 0

• x -610 -6-10 2 2
• x 4 -16 2 2
• x 2 x -8

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30.) Simplify (7b3 - 4) - (2b2 - 3) (3b3
b2)

• 7b3 - 4 - 2b2 3 3b3 b2
• 7b3 3b3 - 2b2 b2 4 3

• 10b3 - 3b2 1

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31.) Multiply (x4)(x-7)

• (x4)(x-7) foil

• x2

-7x
4x
- 28

• x2 -11x - 28

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32.) Multiply (x2)(x2 - 3x 2)

• (x 2)(x2 - 3x 2)

- 3x2
2x
2x2
- 6x
4

• x3

• x3 - 3x2 2x2 2x - 6x 4

• x3 - x2 - 4x 4

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33.) Multiply (2f6)(2f-6)

• (2f6)(2f-6) foil

• 4f2 -12c 12c - 36
• 4f2 - 36

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34.) Factor x2 - 64

• x2 - 64
• (x - 8)(x 8)
• x2 8x - 8x - 64
• x2 - 64

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35.) Factor x2 - 12x 36

• x2 - 12x 36
• (x - 6)(x - 6)
• x2 - 6x -6x 36
• x2 - 12x 36

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36.) Factor x2 - x - 30

• x2 - x - 30
• (x - 6)(x 5)
• x2 5x - 6x - 30
• x2 - x - 30

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37.) Factor 2x2 6x - 8

• 2x2 6x - 8
• 2(x2 3x 4)
• 2(x - 1)(x 4)
• 2(x2 3x 4)
• 2x2 6x - 8

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38.) Solve x2 - 6x - 7 0

• x2 - 6x - 7 0
• (x - 7)(x 1) 0
• x - 7 0 x 1 0
• x 7 x -1

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39.) Solve g/6 5/90

• g 56 90
• 90g 30
• g 1/3

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40.)Solve x/(6x-8) 1/x

• x 16x-8 x
• x2 6x - 8
• x2 - 6x 8 0
• (x 4)(x 2) 0
• x 4 x 2

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41.) What of 12 is 4?

• is of ?
• 4 .01 12

p

• 4 .12p
• 4/.12 .12p/.12
• 33.3 p

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42.) 60 of 60 is what ?

• is of ?
• 60 .01 60

a

• a 36

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43.) 30 of what is 36?

• is of ?
• 36 30 .01

b

• 36 .3b
• 36/.3 .3b/.3
• 120 b

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44.) Five balls numbered from 1 to 5 are placed
in an urn. If one ball is selected at random,
find the probability that it is number 2.

• 1/5

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45.) Draw a BoxWhisker Plot for 28, 26, 22,
18, 29, 30, 25

• 18, 22, 25, 26, 28, 29, 30

Median 2nd Quartile
Median 1st Quartile
Median 3rd Quartile
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45.) Draw a BoxWhisker Plot for 28, 26, 22,
18, 29, 30, 25

• 18, 22, 25, 26, 28, 29, 30

26
22
29
18
30
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46.) What is the mean of60, 30, 30, 20, 40, 20,
10

• 10202030304060
• 210
• 210/7 30

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47.) What is the median of16, 25, 3, 21, 7, 0,
3, 8

• 0, 3, 3, 7, 8, 16, 21, 25

• (78)/27.5

Median
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48.) Which of the following are functions?

• A.) (1, 5), (2, 4), (3,3), (4,2)
• B.) (1, 5), (1, 4), (2,3), (2,2)
• C.) (1, 0), (2, 0), (3,0), (4,0)
• D.) (0, 0), (1, 1), (2,2), (3,3)

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49.) Find f(-2) given f(x) 7x - 5

• f(-2) 7(-2) - 5
• f(-2) -14 - 5
• f(-2) -19

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50.) Decide whether the graph represents y as a
function of x
Y
X
NO
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