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Linear Inequalities
Writing Linear Equations
100
What is the solution to x - 2 = 0 ?
x = 2
100

What is the solution to 3(-y+6)=30

y=-4

100
Evaluate the expression 5x-12 for x=5
13
100
What's the solution to x - 3 < 0 ?
x < 3
100
Write a linear equation for a line with slope=5 and y-intercept=3
y=5x+3
200
Find the value of x that satisfies 3p-1=5(p-1)
p=2
200

Find the value of x that satisfies 11 - 13x = -54.

x = 5

200

Write the equation of a line that passes through these two points. (-5,12) (-1,12)

y=12

200

Solve the inequality: -5x + 1 > 0

x < -1/5

200

Write a linear equations for a line with a slope of 3 that passes through the point (1,2)

(y-2)=3(x-1) or y=3x-1

300
Solve: 4n - 2n = 4
n = 2
300

Solve: -1 = -3r - 2r

r = 1/5

300
Find the values for x=2, x=-1, and x=5 for the function f(x)=2x+5
f(2)=9 f(-1)=3 f(5)=15
300
Solve: -1 < 2n + 4 - 5
n > 0
300
Change the equation from standard for to slope-intercept form 3x+6y=12
y=-1/2x+2
400
Solve for r: -3(1+6r) = 14 - r
r = -1
400
Solve for n: -16 + 5n = -7(-6 + 8n) + 3
n = 1
400

Write the linear equation in slope intercept form for a line that passes through these points. 

(-5,-4) and (1,-16)



y=-2x-14

400
Roy plans to buy pens and a binder at Target. He brought $10 to the store. Pens cost $0.55 each and a binder costs $2.39. Write an inequality that could be used to find the number of pens that he can buy?
10 (greater than or equal to) 0.55x + 2.39
400

Change the equation from point-slope form to slope-intercept form -2(y-3)=4(x+1)

y=-2x+1

500
Solve the equation: 10p + 9 - 11 - p = -2(2p + 4) - 3(2p - 2)
p = 0
500
Solve the equation: 10(x + 3) - (-9x - 4) = x - 5 + 3
x = -2
500

Identify a point on the line and the slope of the line that has the equation

y-6=2(x+4)

Slope: 2


500
Solve: -2(1 - 5x) > -(x + 1) - 1
x > 0
500

Write a linear equation in slope-intercept form for a line that passes through the points (3,8) and (-5,-12)

y=2.5x+0.5