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Solving Equatio ns Absolute Value Logarit hms Factor ing GCF Writing Equatio ns Factoring Trinomial s Word Problems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 of Lines 3 3

Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

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Page 1: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

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Page 2: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

A 1

4(x+2)-6=2(3x+1)Solve for x.

Page 3: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

A2

⅔x – 5 = ⅓x + 2

Solve for x.

Page 4: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

A3

34Solve for x.

56

x+ = x+1

Page 5: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

A 4

Solve for x.

3x-1

7x-1

+4 =

Page 6: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

|x-3|=17

Solve for x.

Page 7: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 2

3|x+6|=36

Solve for x.

Page 8: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B3

|⅔x-6|=42

Find x.

Page 9: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B4

4|2x-7|+5=9

Find x.

Page 10: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C1

2x + 12y + 8z

Factor

Page 11: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C2

aaa 98 23 Factor.

Page 12: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C3

25324 246 zyxzyx

Factor.

Page 13: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C4

5416485312 rttrrt Factor.

Page 14: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D1

Log7x = 25

Solve for x.

Page 15: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D2

3log7x = 12

Solve for x.

Page 16: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D3

5ln(x-3) = 10

Solve for x.

Page 17: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D4

Solve for x.

53x+4 = 14

Page 18: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E1

Write an equation of the line with slope 3 and y intercept –2.

Page 19: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E2

Write the slope intercept form of the line with slope 3 and passes through (3,2).

Page 20: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E3

Write an equation of the line with that passes through (-2,4) and (3,3).Use the point (-2,4).

Page 21: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E4

Write an equation of the line that passes through (3,1) and is perpendicular to the line y = 4x+5.

Page 22: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F1

x2 + 3x + 2

Factor.

Page 23: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F2

x2 - 16

Factor.

Page 24: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F3

x2 + 8x - 20

Factor.

Page 25: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F4

2x2 + 5x - 3

Factor.

Page 26: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G1

(4x-5y+2)-(3x-8y-3)

Page 27: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G2

37

35

25

60

cab

cba

Page 28: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G3

x

y

xy

yx

3

4

15

27 4

Page 29: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G4

21

93

9

652

2

x

x

xx

Page 30: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

4x+8-6 = 6x+2

x=0

A 1

Page 31: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

2x-15 = x+6

x = 21

A 2

Page 32: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

A 3

9x+10 = 12x + 12

x = -⅔

Page 33: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

A 4

3+4x-4 = 7

x = 2

Page 34: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

|x-3|=17X-3=17 x-3=-17

x=20 x=-14

Page 35: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 2

3|x+6|=36 |x+6|=12x+6=12 x+6=-12x=6 x=-18

Page 36: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 3

|⅔x-6|=42⅔x-6=42 ⅔x-6=-42X=72 x=-54

Page 37: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 4

4|2x-7|+5=9|2x-7|=12x-7=1 2x-7=-1x=4 x=3

Page 38: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C 1

2x + 12y + 8z2(x+6y+4z)

Page 39: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C 2

)98(

982

23

aaa

aaa

Page 40: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C 3

)4(6

246323

25324

zyxzyx

zyxzyx

Page 41: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

C 4

)423(4

16812324

54453

rtrttr

rttrrt

Page 42: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D 1

log25

log7= 1.654

Page 43: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D 2

Log7x = 4

x= 2401

Page 44: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D 3

ln(x-3) = 2

eln(x-3) = e2

(x-3) = e2

x = 10.389

Page 45: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

D 4

Log55 3x+4 = log514

3x+4 =

X = -.787

log14log5

Page 46: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

y = 3x - 2

Page 47: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 2

y – 2 = 3(x - 3)y – 2 = 3x – 9 y = 3x - 7

Page 48: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 3

5

1

32

34

m

)2(5

14 xy

5

33

5

1 xy

Page 49: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 4

y – 1 = -¼(x - 3)

y – 1 = -¼x+¾

y = -¼x+1¾

Page 50: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F 1

(x+1)(x+2)

Page 51: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F 2

(x+4)(x-4)

Page 52: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F 3

(x+10)(x-2)

Page 53: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

F 4

(3x-1)(x+2)

Page 54: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G 1

x + 3y + 5

Page 55: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G 2

24

4

5

12

cb

a

Page 56: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G 3

y

x

5

7 4

Page 57: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

G 4

7

2x

Page 58: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

x2 + 5x + 4

Page 59: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

x2 – 11x + 24

Page 60: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

x2 – 9x - 22

Page 61: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

2x2 + 11x + 12

Page 62: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

What is the sale price of an item that is 15% off and costs $24.80?

Page 63: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

If the of elevation of a kite is 76º and the kite string is 120ft, how high is the kite?

Page 64: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

A play sold 380 tickets and made $1380, if adults costs $6 and children $3, how many adult tickets were sold?

Page 65: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

B 1

If you deposited $3,000 in an account compounded interest continuously at 4%, how much would you profit after 10 years?

Page 66: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

(x+1)(x+4)

Page 67: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

(x-3)(x-8)

Page 68: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

(x-11)(x+2)

Page 69: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

(2x+3)(x+4)

Page 70: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

$21.08

Page 71: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

Sin76=

x20

x= 116.4 ft

Page 72: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

x + y = 3806x + 3y = 138080 adult tickets

Page 73: Solving Equations Absolute Value Logarithms Factoring GCF WritingEquations FactoringTrinomials WordProblems 1 2 4 1 2 3 4 1 2 4 1 2 3 4 1 2 3 4 1 2 3

E 1

P = 3000e(.04)(10)

Total was 4475.47

Profitting:$1475.47