8/2/2019 Mat 093 Final Review

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Name______________________________________________________ Date_________

Final Review

1. Order of operations

a. -12 + 3( -3+5) b. -4(-2+7) + 4( 5-32

) c. (5-2) 5(-2+4)+3)3(

2. Find all factors

a. 50 b. 38

3. Find the prime factorization

a. 36 b. 100

4. Fractions

a.5

3

3

2 b.

5

21

3

12 c.

5

34 d.

3

12

5

4

5. Solving for a variable:

i. BE + C=R for E: ii. AB2

=D for B: iii. 2y+ 3x= 11 by y:

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6. Solve the following equations

a. 2(x+4)= 26 b. 4x-2(x+2) = 50

c. 6x +14 = 4x + 40 d. -2(x+4) = -2(2x+10)

e. -4x+30 = -4(x + 5) f. 75

1x

g. 733

2x h. 5

3

2

2

xx

7. Inequalities solve if needed and graph on the number line

a. x + 12< 35 b. -2x > 18

c. -4x -10 32 d. -2 < x 8

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e. -16< 2x + 6 < 20 f. -10 >3

1x + 2 > 10

8. Absolute value Equations

a. |2x+4|= 18 b. |3x+7|= -7 b. |x+4|- 5 = 11

9. Percentage

a. What percent of 89 is 17?

b. 56 is 24% of what number?

c. What is 38% of 208?

d. In a study of 560 men with prostate cancer 8% had a poor diet, how many men with prostate

cancer did not have a poor diet?

f. Vomar bought an i-pod for $299, if the taxes in Illinois are 9.25%. How much did he pay in

total?

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10 Plot the following points in the coordinate plane.A (2,-3) B(0,-5) C(-4,0) D( -5, -3) E( -4, 4) F( 5,6)

11 Are these equations lines?

a. x+ y = 5b. 2 2x + y=7c.

5

1

3

2 xy

12 Find the slope

a. (-1, -2) (3,1) b. ( 0, -2) (5,4) c. ( 5, 0) ( 5, -5)

13 Graph y= 32 x

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17 Write an equation for a line that passes through ( -1, 4) and ( 1,1))(

11xxmyy

Solving systems by graphing

2

32

x

xy

23

33

1

xy

xy

16 Solve the following systems

52

42

yx

xy

62

123

yx

yx

Also review your homework from Rules of Exponents and possible radicals and possible radicals