Maths Solutions help

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Solve the following equation involving absolute value:

-3│4x – 7│+ 15 = 0

  1. {2/3, 3}
  1. {1/4, 6}
  1. {1/2, 3}
  1. {1/5, 3}

 

 

 

 

 

 

 

Solve the following linear equation:

7(x – 2) = 4(x + 1) – 21

  1. x = 0
  1. x = -1
  1. x = -3
  1. x = 3

 

Solve the following linear inequality:

-3  ≤ 2x + 5

3

 < 6

 

  1. [-7, 13/2)
  1. [-12, 7/2)
  1. [-3, 8/3)
  1. [3, 6/5)

 

Solve the following absolute value inequality:

│3x + 2│ ≥ 3

  1. (-∞, -5/3] ∪ [1/3, ∞)
  1. (-∞, -6/7] ∪ [5/6, ∞)
  1. (-∞, -4/7] ∪ [1/2, ∞)
  1. (∞, -6/7] ∪ [1/3, ∞)

 

Solve the following linear equation:

2x – 3

4

 = x -4

2

 – x + 1

4

 

  1. 2
  1. 3
  1. -6
  1. -8

 

Solve the following radical equation:

√(x-3) + 5 = x

  1. {2}
  1. {5}
  1. {9}
  1. {7}

 

Solve the following formula for the specified variable:

V = 1/3 lwh for h

  1. h = 3V/lw
  1. h = 5V/lw
  1. h = 2V/ w
  1. h = 7V/lw

 

Solve the following linear equation:

-10 – 3(2x + 1) – 8x – 1 = 0

  1. x = -2
  1. x = 4
  1. x = -1
  1. x = -2

 

Solve. Write the solution in interval notation.

|x + 4| ≤ 6

  1. (–∞, –10) ∪ (2, ∞)
  1. (–∞, –10] ∪ [2, ∞)
  1. (–10, 2)
  1. [–10, 2]

Solve the following linear inequality:

x/6 + 1/8 ≤ x/2 – 3/4

  1. [21/8, ∞)
  1. [12/3, -∞)
  1. [4,-∞)
  1. (-∞, ∞)

Solve the following quadratic equation:

2x2 + 5x – 3 = 0

  1. {-1/2,2}
  1. {1/2,3}
  1. {2,4}
  1. {-1/3,5}

Solve the following quadratic equation:

(x + 3)2 + 25 = 0

  1. {-4 – 6i, -1 + 4i}
  1. {-4 – 6i, -2 + 5i}
  1. {-3 – 5i, -3 + 5i}
  1. {-6 – 5i, -2 + 4i}

Solve the following equation quadratic in form:

x2/3 – 9x1/3 + 8 = 0

  1. {1, 219}
  1. {1, 328}
  1. {1, 129}
  1. {1, 512}

Solve:

9x + 8 = 2x + 8

  1. –1
  1. 0
  1. 1
  1. 2

 

Which statement is FALSE?

  1. d ∉ {a, b, c}
  1. Ø ∈ {a, b, c}
  1. Ø ⊂ {a, b, c}
  1. a ∈ {a, b, c}

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