Solving Equations
Inequalities
Horizontal and Vertical Lines
Slope
Equations of Lines
100
Solve for x
8x + 20 = 4x - 44
x = -16
100
Graph the inequality:
x < -2
100
What is the equation of the vertical line through (9, 4)
x = 9
100
What is the slope of the given line:
y=(1)/2 x+6
(1)/2
100
Rearrange this equation from standard to slope-intercept form (solve for y).
-3x+4y=8
y=3/4 x+2
200
Solve for x:
8x - 4(5 - x) = -44
x = -2
200
Solve the inequality:
8(m + 3) - 2 > 78
m > 7
200
Write the equation of the horizontal line through (-3, 6)
y = 6
200
Identify the slope of the given line:
-(3)/4
200
Write the equation of the line in any form that passes through (-8, 1) and is parallel to
y=(1)/2 x+6
y-1=1/2 (x+8)
300
Solve for y
6x - 2y = 10
y = 3x - 5
300
Solve the inequality
-(7m)/2>-14
m > 16
300
Write the equation of the line through (5, 2) that is parallel to x = -3
x = 5
300
Find the slope between the two points:
(-8, 2) and (-1, 6)
4/7
300
Write the equation of the line in slope intercept form that passes through
(8, 3) and (-2, 8)
y=-(1)/2 x+7
400
When 15 - 8x = 3x - 7
Find 3x - 1
5
400
Solve and graph the inequality:
7(8r+5)>=371
400
Write the equation of a line through (-1, 8) that is perpendicular to y = -7
x = -1
400
Find the slope of the line represented in the function of
f(3)=8 and f(-2)=-12
4
400
Write the equation of a line in slope-intercept form that passes through (8, 3) and is perpendicular to
y=-(1)/2 x+4
y=2x-11
500
Solve for t:
5t - 3(t - 2) = t + 6
t = 0
500
A square has a side length of 2x + 1 and an equilateral triangle has a side length of 3x - 2. Draw a diagram. Find an equation that represents that their perimeters are equal and solve for x.
x=10
500
Find the slope of the line represented by the table:
3
500
Penelope is saving money to buy herself an electric bicycle. After 3 weeks, she has $180 in her savings and after 5 weeks, she has $260 in her account. Define your variables and write a linear function to find the amount in her savings depending on the number of weeks.
y-180 = 40(x - 3)
or
y = 40x+ 60