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1). What is the x intercept of -1/2x-5y=-10?

A). 2

B). 20

C). 1/2

D). 5


2). Line p passes through the points (5,1) and has a slope of -4/5. What is the equation of the line p in standard form?

A). 4x+5y=29

B). 4x+5y=25

C). 5x+4y=25

D). 5x+4y=29


3). Which inequality is equivalent to 5(2x-3)-6x ≤ 30?

A). 16x-15<_30

B). 4x-15<_30

C). 4x-3<_30

D). 10x-21<_30


4). What is the domain of the function f(x)=x-3/2x-5?

A). all real # except 3

B). all real # except -5/2

C). all real # except -3

D). all real # except 5/2


5). Which expression is the simplest form of 5/√2?

A). 5√2/2

B). √7/2

C). √10/2

D). √2/5

Verified Answer :

Panoyin
  1. ⁻¹/₂x - 5y = -10
            -2(⁻¹/₂x - 5y) = -2(-10)
      -2(⁻¹/₂x) - 2(-5y) = 20
                  x + 10y = 20
               x + 10(0) = 20
                     x + 0 = 20
                           x = 20
    The answer is B.

    2.              y - y₁ = m(x - x₁)
                      y - 1 = ⁻⁴/₅(x - 5)
                      y - 1 = ⁻⁴/₅(x) - ⁴/₅(-5)
                      y - 1 = ⁻⁴/₅x + 4
                        + 1          + 1
                           y = ⁻⁴/₅x + 5
                     -5(y) = -5(⁻⁴/₅x + 5) 
                       -5y = -5(⁻⁴/₅x) - 5(5)
                       -5y = 4x - 25
                -4x - 5y = 4x - 4x - 25
                -4x - 5y = -25
          -1(-4x - 5y) = -1(-25)
    -1(-4x) - 1(-5y) = 25
                4x + 5y = 25
    The answer is B.

    3. 5(2x - 3) - 6x ≤ 30
    5(2x) - 5(3) - 6x ≤ 30
         10x - 15 - 6x ≤ 30
         10x - 6x - 15 ≤ 30
                  4x - 15 ≤ 30
                      + 15 + 15
                         4x ≤ 15
                          4      4
                           x ≤ 3³/₄
    Solution Set: {x|x≤ 3³/₄}, (-∞, 3³/₄]
    The answer is B.

    4. \(f(x) = \frac{x - 3}{2x - 5}\)
        2x - 5 ≠ 0
            + 5 + 5
             2x ≠ 5
              2     2
              x ≠ 2¹/₂
    (-∞. 2¹/₂) ∨ (2¹/₂, ∞)
    The answer is D.

    5. \(\frac{5}{\sqrt{2}} = \frac{5}{\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}} = \frac{5\sqrt{2}}{\sqrt{4}} = \frac{5\sqrt{2}}{2}\)
    The answer is A.

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