# Bergen

Topics: Inequality, Elementary algebra, Algebra Pages: 8 (833 words) Published: December 6, 2012
Algebra 1 Practice by Kareem Gouda

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Algebra Revision Worksheet with Answers
Solve each equation. 1) n + 7 + 5n + 5 = 7(5n + 3) − 3(n + 3) 2) 5(2m + 6) + 8m = −7(1 − m) + 4

3) −7(2r − 6) = 3(r + 4) − 2r

4) 8( x + 1) = 7(3 + x)

5) 6(6n − 6) − 4n = −n + 6(1 + 6n)

6) −4 10v − 6 = −16

7) 6 − 6b − 2 = 64

8) 6 6 − 6 x = 108

9)

9n − 7 3

=3

10) 4 − 7a + 9 = 27

Solve each inequality and graph its solution. 11) 6 k − x − 4 4 6 5 4 3 2 1 −6 −5 −4 −3 −2 −1 0 −2 −3 −4 −5 −6 1 2 3 4 5 6

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53) y ≥

1 x−3 3
6 5 4 3 2 1

54) y <

1 x+1 2
6 5 4 3 2 1

−6 −5 −4 −3 −2 −1 0 −2 −3 −4 −5 −6

1

2

3

4

5

6

−6 −5 −4 −3 −2 −1 0 −2 −3 −4 −5 −6

1

2

3

4

5

6

55) y ≤

3 x−1 2
6 5 4 3 2 1

−6 −5 −4 −3 −2 −1 0 −2 −3 −4 −5 −6

1

2

3

4

5

6

Solve each system by graphing.

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56) 4 x + 3 y = −6 2 x − 3 y = −12
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

57) 4 x + y = 4 x + y = −2
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

(−3, 2)
58) 5 x − y = 2 x − y = −2
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

(2, −4)
59) x − y = 2 x − y = −4
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

(1, 3)

No solution

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60) 2 x + y = −3 2x + 3 y = 3
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

(−3, 3)
Sketch the solution to each system of inequalities. 61) x + 2 y ≥ 4 2 x + y < −1 5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5 −5 −4 −3 −2

62) x − 2 y > 4 2x + y < 3
5 4 3 2 1 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

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63) x + 2 y ≥ 2 x − 2 y ≤ −6
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

64) 5 x + y ≤ 3 x− y>3
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

65) x − 3 y < −9 x + y > −1
5 4 3 2 1 −5 −4 −3 −2 −1 0 −1 −2 −3 −4 −5 1 2 3 4 5

Write an inequality for each graph. 66)
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7

67)

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

x ≤ −4

x > −1

68)

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

69)

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

a>2

a≥6

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70)

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

p ≥ −4

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