Summer Math Packet 2017 For students entering Advanced Algebra or Math8 Students taking Advanced Algebra with Mrs. Dunfield or Mrs. Neils will have an assessment over this material the first week of school. See "Summer Packet Reminders" for links to video tutorials and examples for selected topics.

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7) Use the distributive property to simplify each expression. Combine like terms if needed. a) -3(2 + n)

b) -2x + 4x(5 – x)

c) 10 + 3(5 – m)

 

d) -9h  h 

5   36 

9) Graph the equations either using a table of values or by plotting the y-intercept and using the slope for at least 2 other points. (See “reminders” page for more information.)

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1) For each line, write an equation in the form y = mx + b (where m = slope and b = y-intercept) (See “reminders” page for more information)

4)

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6) Evaluate. a) 112

b) 53

c)

169

d)

3

64

7) Simplify by using the distributive property and/or combining like terms. a)

b)

c)

10) For each table, write a linear equation in the form y = mx + b.

11) Solve the equations using symbolic method.

x –5=2 4

a) 3x – 5x + 8 = 0

b) -5x + 4 = -6

c)

d) 3x – 4x + 8 = 12

e) 4(2x – 6) = 16

f) 10x – 5 – 4x – 6 = 25

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Evaluate the expressions WITHOUT using a calculator. Show work when necessary. 1) -19 + -12

2) -21 – (-34)

3) 6.32 – (-7.41)

4) -6(19)

5) -56  (-7)

 2  9  6)       3  4 

7) -13 – 9

8) 27 – 100

  12  2  9)      4  4 

10) -10  (-3  6)

11) (-5)2

12) (-2)3

13) 4  12 + 8 – 10  5

14) 8(7) – 3  2  (12 – 9)

15) [52 + (12 – 8)2] – 17

16)

17)

18)

19)

20)

21)

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1) For each graph, write an equation in slope-intercept form (y = mx + b). a)

b)

c)

2) For each table, write an equation in slope-intercept form (y = mx + b). a)

a)

b)

b)

c)

c)

d)

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Evaluate the expressions WITHOUT using a calculator. Show work when necessary. 1)

7 1  9 4

5)

8

9)

1 3  4 10

3  2    16  5 

2)

6)

10)

9 1  10 3

2

3)

2 4  5 5

1  5   1  12  18 

7)

5

1 3 10  8 6 4

11)

1 9  2 16

2

1  3   2  2  5

4)

8)

1  5 5   2  9  6

12)

7 1  8 12

3  20 5

13) Complete the following table by evaluating each expression for the given values.

14) For each graph, write an equation in slope-intercept form (y = mx + b). a)

b)

c)

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1) Calculate the slope of the line passing through the given points. You may use the slope equation or put the points in a table and find the slope by calculating the y-change and writing it over the x-change. a)

(-1, 4) & (5, 1)

b) (-2, -5) & ( 2, 3)

c) (-3, 4) & (2, 4)

2) Graph the equations either using a table of values or by plotting the y-intercept and using the slope for at least 2 other points.

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