# Algebra 1

1. How many solutions does the linear system have ?
3x - y = 4
-3x + 11y = 2

2. A line passes through the points (6,4) and (5,-3). What is the equation of the line in point-slope form ?
a. x - 6 = 7(y-4)
b. y - 4 = 7(x-6)
c. y + 6 = 7(x+4)
d. y - 6 = 7(x-4)

3. A line passes through the point (4,-3) and has a slope of -3. What is the equation of the line in standard form ?

4. Which point is a solution of the system of linear inequalities ?
y < -2x
y > 3x+5

a. (2,-1) b.(-4,1) c. (-1,4) d.(1,-2)

5. To solve the linear system below, which substitution of unkowns is proper?
a.sub 5x - 16 for y in the first Eqn
b.sub 5x + 12 for y in the first Eqn
c.sub 5x + 16 for y in the first Eqn
d.sub 7y - 4 for x in the second Eqn

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1. 1. since the lines are not parallel, they must intersect somewhere. And only one somewhere.

2.
(y-4)/(x-6) = 7/1
y-4 = 7(x-6)

3.
(y+3) = -3(x-4)
3x-y = -9

4.
y < -2x
y > 3x+5
-2x > y > 3x+5
-2x > 3x+5
-1 > x

x < -1, so (-4,1)

5. ?

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