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    Josue Mat160-Test1-2021

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    blober55

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    Josue Mat160-Test1-2021

    Uploaded by

    blober55
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    Copyright:

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    2 views4 pages

    Josue Mat160-Test1-2021

    Uploaded by

    blober55

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 4

    MAT- 160: Test 1

    Professor S. Kha Total Points (100) Time- 90 minutes

    Name of The Student:……………………………………………………..


    Q.1)
    a. Simplify:

    √3 56 a16 b8 2a5b2 3√ 7ab2


    b. Solve for x. x = √ 1 ─ 4 x ─5 x=-2

    5
    c. √
    4

    2m
    Rationalize the denominator. 4√40m3

    2m
    Q.2) Perform the following below as indicated:
    1 1 17 1
    a. Solve for p. 2
    (p+1) ─ = + (2p ─5) 1/6=1/6
    3 12 4
    1
    b. Solve for b 2. A = 2 h (b 1 +b 2) 2A/b1+b2

    Q.3) Determine the domain of each relation and determine whether each
    relation describes y/f(x) as a function of x.
    a. x= y 3 (−∞,∞)
    2
    x +x ─ 2
    b. y= 2 [-1,2]
    x ─ x─2

    1 3
    c. f(x) = x+7 + x+9
    [-9,-7]

    1
    Q.4) a. Find the equation of the line containing the points
    (─4 8) and (3, 5). Write your answer in slope intercept form

    as well as standard form. y=-3/7x+44/7 - y=-(4)

    (7)x+8

    b. Graph the linear equation 8x ─ 4y = 12 by finding x and y


    intercepts and one other point. -3,1.5 -1,1

    c. Find the equation of the line perpendicular to ─3x +y=2


    containing the point (9, 4). Write the equation in standard
    form as well as point -slope form. y-4=1/3 (x-9), y=x/3+1/3

    Q.5) Let f(x) = ─4x+7 and g(x) = x² +9x ─2 find the function values
    a. f (h ─7)f=4h
    b. g (t² -3t +7) g=t4+9t2-6t+12
    c. The longer leg of a right triangle is 7 cm more than the shorter
    leg.The length of the hypotenuse is 3cm more than twice the length of the
    shorter leg. Find the length of the hypotenuse. 13cm
    Q.6) Perform as indicated below.
    2
    a. If g (x) = 3 x + 1 find x so that g (x) = 5
    −3 10 −3
    8x y
    b. Simplify: ( −3
    ) 125x12/8y39
    20 x y

    Q.7) Factor completely if possible:


    a. 54q² ─144q +42 ,6 (3q-1)x(3q-7)

    2
    b.. solve for t : 15t³+40t =70t² t=0, t=2/3 or t=4

    Q.8)

    a. Write the rational expression in lowest form.


    r ³ ─ 3 r ²+2r ─ 6
    21 ─ 7 r
    - r2+2/7
    −1 ─1
    W ─V
    b. Simplify. ─ 2 +¿V vw-w2/2v+w2
    −1

    2W ¿

    Q.9) a. Simplify.
    2
    1+
    d−3
    d-1/5d-d2
    −2 d
    ─d
    d−3

    b. Solve for n.
    3 n 2
    n+4
    = n+6
    ─ 2
    n +10 n+24
    n=-5 or n=4

    Q.10) Perform the indicated operation:


    1 x 4
    a. x+ y + 2
    x ─y
    2 ─
    2x ─ 2 y
    -x2 -3xy+3y3 +x3/x3-x2y2-xy2+y4
    2
    x +2 xy + y ² 7 x +7 y
    b. Divide: 3 y−12 ÷ xy−4 x +3 y−12

    3
    x3+2xy+xy2+3x2-15y+3y2-21x/3xy+9y-12x-36

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