Infinite Algebra 1 - HW33 - Mixed Review #4

Honors Algebra 1

Name___________________________________ ID: 1

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HW33 - Mixed Review #4

Date________________ Period____

Find the mode, median, and mean for each data set. 1)

Hours Slept

5 6 7 8 9 Hours

Solve each equation. 2) -7n - 24 = -8(n + 3) - 6

3) 15 - 8n = 3(1 - 2n)

4) -8(-4a + 1) = -8 + 3a

5) -2(-3 - x) = 2x + 9

Simplify. Your answer should contain only positive exponents. -3 4 3

6) (4a b

8)

(3r 2) 3

)

4 -2 3

7) (3a b

9)

r

)

(2n) 3

(3n 3) 2

Worksheet by Kuta Software LLC

-1-

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Find each product. 10) (-5v + 1)(-v - 4)

11) ( x 2 - x - 6)(2x + 7)

Sketch the graph of each linear inequality. 13) 4x - 5 y < -20

7 12) y £ x - 2 2

y 6

y

5

6

4

5

3

4

2

3

1

2 -6 -5 -4 -3 -2 -1

1

1

2

3

4

5

6 x

-1 -6 -5 -4 -3 -2 -1

1

2

3

4

5

6 x

-2

-1

-3

-2

-4

-3

-5

-4

-6

-5 -6

Solve each compound inequality and graph its solution. 14) 3v - 10 ³ -10 and 6 - 3v > -21 -3 -2 -1

0

1

2

3

4

5

6

7

8

9

15) 2 + 10v £ -88 or 4v - 5 ³ -5 -12

10

-10

-8

-6

-4

-2

0

2

4

Find the slope of each line. 16)

17)

y

x

y

x

Worksheet by Kuta Software LLC

-2-

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Find the slope of the line through each pair of points. 18) (17, -11), (6, 0)

19) (-10, 17), (20, -4)

Write the slope-intercept form of the equation of each line. 20)

21)

y

y

4

4

2

2

-5 -4 -3 -2 -1

1

2

3

5 x

4

-5 -4 -3 -2 -1

1

-2

-2

-4

-4

2

3

5 x

4

Write the slope-intercept form of the equation of each line given the slope and y-intercept. 22) Slope = -2, y-intercept = -4

7 23) Slope = - , y-intercept = 3 5

Sketch the graph of each line. 25) 2x + 5 y = -5

7 24) y = x + 3 4

y 6

y

5

6

4

5

3

4

2

3

1

2 -6 -5 -4 -3 -2 -1

1

1

2

3

4

5

6 x

-1 -6 -5 -4 -3 -2 -1

1

2

3

4

5

6 x

-2

-1

-3

-2

-4

-3

-5

-4

-6

-5 -6

Worksheet by Kuta Software LLC

-3-

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Answers to HW33 - Mixed Review #4 (ID: 1) 1) Mode = 7, Median = 7 and 2) {-6} Mean = 7.4 5) No solution. 4) {0} 8) 27r 5

9)

3) {6} 64b 12 6) a9 10) 5v 2 + 19v - 4

8 9n 3

11) 2x 3 + 5x 2 - 19x - 42

12)

13)

y

-6

-4

27a 12 7) b6

y

6

6

4

4

2

2

-2

2

4

6 x

-6

-4

-2

2

-2

-2

-4

-4

-6

-6

4

6 x

14) 0 £ v < 9 : -3 -2 -1 0

1

2

3

4

5

6

7

8

9 10

15) v £ -9 or v ³ 0 : -12

-10

1 6 20) y = 2x - 3 16) -

24)

y

-6

-4

-8

-6

-4

-2

0

2

4

17) 2

18) -1

1 21) y = - x + 2 2 25)

22) y = -2x - 4

6

4

4

2

2 2

4

6 x

-6

7 10

7 23) y = - x + 3 5

y

6

-2

19) -

-4

-2

2

-2

-2

-4

-4

-6

-6

4

6 x

Worksheet by Kuta Software LLC

-4-

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