1) Find the equation of a line passing through the points (1, 4) and (3, 10). An
ID: 2981150 • Letter: 1
Question
1) Find the equation of a line passing through the points (1, 4) and (3, 10). Answer a) y = 3x + 1 b) y = 2x + 3 c) y = 4x - 1 d) y = 5x - 2 2) Find the equation of a line passing through the point (0, 3) with an undefined slope. Answer a) y = 0 b) x + y = 3 c) x = 0 d) y = 3 3) Determine which one of the following points is a solution for the system of the linear inequalities: x + y > 4 and x > 0 Answer a) (3, - 3) b) (- 5, - 1) c) (3, 1/2) d) (1, 6) 4) Perform the indicated operations: 2 [1 2 -3 0] + 3 [ 2 -3 4 2] Answer a) 5 [ 1 2 -3 0] b) [ 8 -13 -14 6] c) [ 3 -6 1 2] d) [ 8 -5 6 6] 5) Write the slope-intercept form of the equation of the line for y + 1 = - (x + 1). Answer a) y = - x - 2 b) y = - x + 2 c) y = 2x - 1 d) y = - 2x - 1 6) Solve for x: 2 (x - 7) = - 30 Answer a) x = 7 b) x = 8 c) x = - 8 d) x = -22 7) What is the simple interest on a loan of $8,650 at 8 1/2% for 4 years? Answer a) $73,525.00 b) $865.00 c) $2,941.00 d) $735.25 8)Explanation / Answer
1)
y - 4 = (10-4)/(3-1) (x - 1)
or
y - 4 = 3x - 3
or
y = 3x + 1
option a) y = 3x + 1
2)
eq. is c) x = 0
3)
x + y > 4 and x > 0
i.e y>4, x>0
so, option d) (1, 6)
4)
2 [1 2 -3 0] + 3 [ 2 -3 4 2]
= [2 4 -6 0] + [6 -9 12 6]
= [8 -5 6 6]
d) [ 8 -5 6 6]
5)
y + 1 = - (x + 1)
or
y = -x - 2
a) y = - x - 2
6)
2 (x - 7) = - 30
or
2x - 14 = -30
or
2x = -16
or
x = -8
c) x = - 8
7)
$8,650 at 8 1/2% f
I = 8650 * 8.5 * 4 /100 = 2941
c) $2,941.00
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