Axioms & Order of Operations
Solving Linear Equations
Slope and Equations of Lines
Parallel and Perpendicular Lines
100
State the Transitive Property.
If a=b and b=c then a=c.
100
Solve the following linear equation:
-3x-4(4x-8)=3(-8x-1)
x=-7
100
Find the slope of the line passing through the points (-3,-1) and (-4,2).
m=-3
100
Find the relationship between the lines y=3x+5 and 5x+15y=25 .
They are perpendicular.
200
State the Multiplicative and Additive Identities and Inverses for a number a.
Additive Identity = 0
Additive Inverse = -a
Multiplicative Identity = 1
Multiplicative Inverse = 1/a
200
Solve the following linear equation:
\frac{4x-4}{8}-\frac{4x-2}{6}=1/2
x=-4
200
Find the slope and the y-intercept of the line depicted here:
m=-4/3
b=-1
200
Find the relationship between the lines 4x-3y=2 and -8x+6y=9 .
They are parallel.
300
Evaluate
([(-16)÷(-4)]^3-(-11))*(-6)+(-6)
-456
300
Solve the following linear equation for x:
2/3(x+y)=3(x+a)
x=\frac{2y-9a}{7}
300
Find the slope and the y-intercept of the line
-x+4y=-16
m=1/4
b=-4
300
Find the relationship between the lines 2x-3y=4 and 2x+3y=4 .
They are intersecting but not perpendicular.
400
Evaluate
[((-4)^2+10)x-(-4x)]-9x+(-2x)
19x
400
Solve the following linear equation:
\frac{x+2}{2x+2}-1/2=-\frac{x+4}{4x+4}
x=-6
400
Build the standard-form equation of the line depicted here:
-7x+3y=15
400
Build the equation of a line that is parallel to the line y=4x-2 and passes through the point (6,1).
y=4x-23
500
Evaluate
[(-11x)+\frac{-18x}{-9}]*(-3)^2-(-2x)+[-9x+(-15/5)x] *(-2)
-55x
500
If a gardener has $600 to spend on a fence which costs $10 per linear foot and the area to be fenced is a rectangle that is twice as long as it is wide, what are the dimensions of the largest fenced-in area?
w=10ft
l=20ft
500
Build the slope-intercept-form equation of the line passing through the points (5,-4) and (-5,2).
y=-3/5x-1
500
Build the equation of a line that is perpendicular to the line 6x+y=5 and passes through the point (-3,5).
y=1/6x+11/2