# Alzebra Assignment

Solve the following equation involving absolute value: -3│4x – 7│+ 15 = 0

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A. {2/3, 3}

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B. {1/4, 6}

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C. {1/2, 3}

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D. {1/5, 3}

Solve the following linear equation: 7(x – 2) = 4(x + 1) – 21

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A. x = 0

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B. x = -1

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C. x = -3

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D. x = 3

Solve the following linear inequality:

-3

2x + 5

3

<

6

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A. [-7, 13/2)

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B. [-12, 7/2)

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C. [-3, 8/3)

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D. [3, 6/5)

Solve the following absolute value inequality: │3x + 2│ ≥ 3

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A. (-∞, -5/3] ∪ [1/3, ∞)

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B. (-∞, -6/7] ∪ [5/6, ∞)

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C. (-∞, -4/7] ∪ [1/2, ∞)

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D. (∞, -6/7] ∪ [1/3, ∞)

Solve the following linear equation:

2x – 3

4

=

x -4

2

x + 1

4

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A. 2

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B. 3

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C. -6

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D. -8

Solve the following radical equation: √(x-3) + 5 = x

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A. {2}

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B. {5}

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C. {9}

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D. {7}

Solve the following formula for the speciﬁed variable: V = 1/3 lwh for h

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A. h = 3V/lw

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B. h = 5V/lw

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C. h = 2V/ w

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D. h = 7V/lw

Solve the following linear equation: -10 – 3(2x + 1) – 8x – 1 = 0

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A. x = -2

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B. x = 4

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C. x = -1

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D. x = -2

Solve. Write the solution in interval notation. |x + 4| ≤ 6

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A. (–∞, –10) ∪ (2, ∞)

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B. (–∞, –10] ∪ [2, ∞)

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C. (–10, 2)

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D. [–10, 2]

Solve the following linear inequality: x/6 + 1/8 ≤ x/2 – 3/4

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A. [21/8, ∞)

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B. [12/3, -∞)

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C. [4,-∞)

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D. (-∞, ∞)

Solve the following quadratic equation: 2×2 + 5x – 3 = 0

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A. {-1/2,2}

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B. {1/2,3}

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C. {2,4}

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D. {-1/3,5}

Solve the following quadratic equation: (x + 3)2 + 25 = 0

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A. {-4 – 6i, -1 + 4i}

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B. {-4 – 6i, -2 + 5i}

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C. {-3 – 5i, -3 + 5i}

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D. {-6 – 5i, -2 + 4i}

Solve the following equation quadratic in form: x2/3 – 9×1/3 + 8 = 0

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A. {1, 219}

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B. {1, 328}

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C. {1, 129}

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D. {1, 512}

Solve: 9x + 8 = 2x + 8

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A. –1

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B. 0

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C. 1

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D. 2

Which statement is FALSE?

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A. d ∉ {a, b, c}

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B. Ø ∈ {a, b, c}

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C. Ø ⊂ {a, b, c}

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D. a ∈ {a, b, c} 