Infinite Algebra 1 - HW7 - Mixed Review #1

Honors Algebra 1

Name___________________________________ ID: 1

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HW7 - Mixed Review #1

Date________________ Period____

Solve each equation. 1) 2x + 13 = -3(1 + 2x)

2) 5k - 1 = -10 + 8k

3) 82 = 2(1 - 5v)

4) 12 = -(n - 4) + 8(1 + 6n)

Solve each compound inequality and graph its solution. 5) 63 < 9 - 9x < 72 -14

-12

-10

6) 8n + 5 £ 53 or 4n + 3 ³ 31 -8

-6

0

-4

1

2

3

4

5

6

7

8

9

10 11 12

Worksheet by Kuta Software LLC

-1-

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Sketch the graph of each linear inequality. 7) y > -3x

8) 2x - y < 3 y

y

6

6

5

5

4

4

3

3

2

2

1

1

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

1

2

3

4

5

6 x

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

1

-1

-1

-2

-2

-3

-3

-4

-4

-5

-5

-6

-6

2

3

4

5

6 x

Find the slope of each line. 9)

10)

y

y

x

x

Find the slope of the line through each pair of points. 11) (-5, -3), (12, -16)

12) (9, 7), (14, 12)

Worksheet by Kuta Software LLC

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Write the slope-intercept form of the equation of each line. 13)

14)

y

y

4

4

2

2

-5 -4 -3 -2 -1

1

2

3

4

5 x

-5 -4 -3 -2 -1

-2

-2

-4

-4

1

2

3

4

5 x

Write the slope-intercept form of the equation of the line through the given point with the given slope. 15) through: (5, -5), slope = -

8 5

16) through: (-1, -4), slope = 2

Write the slope-intercept form of the equation of the line through the given points. 17) through: (-2, -2) and (-4, 1)

18) through: (-1, 2) and (1, 0)

19) through: (-1, -3) and (0, -2)

20) through: (0, -3) and (4, -1)

Worksheet by Kuta Software LLC

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Answers to HW7 - Mixed Review #1 (ID: 1) 1) {-2}

3) {-8}

5) -7 < x < -6 : -14

7)

y

9) -

6

1 3

11) -

-12

-10

-8

-6

-4

13 17

4 2 -6

-4

-2

2

4

6 x

-2 -4 -6

13) y = 2x + 3

8 15) y = - x + 3 5

3 17) y = - x - 5 2

19) y = x - 2

Worksheet by Kuta Software LLC

-4-

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