Solving
Equations
Equations
___________ operations allow us to identify how to move a term from one side of the equation to the other.
inverse or opposite
________ is the rise/run.
Slope
Solving inequalities is very similar to solving equations except for ___________________.
Multiplying or dividing BOTH sides by a negative.
What is the slope-intercept form of the following equation: 7y + 2x = 14
y = -2/7x + 2
The absolute value of a number is it's ____________.
distance to zero
10-(8p+3)=9(2p-5)
p=2
m = -1/2
Solve: 35 > x - 5
x < 40
What is the slope-intercept form of the equation: 7x - 3y = 21 ?
y = 7/3 x - 7
|2x-4|=2
x=3, x=1
5(x+3)-4=10
x=-1/5 or -0.2
Describe the movement for a slope of -2/3.
down 2 and right 3, OR up 2 and left 3.
Solve: 5 - 4x < 17
x > -3
Solve y = mx + b, for "b".
b = y - mx
-7|9-2x| + 9 = -12
x=3, x=6
Solve: 2(2x + 3) + 5(x + 4) = 4(2x + 5) + 8
x = 2
A horizontal line in the form y = 2 has what type of slope?
zero
Solve the compound inequality: x-5>0 or 3x-1<8
x>5 or x<3
Solve the equation c = 2nr, for "r".
r = c/2n
When solving absolute value equations, we must isolate the ____________ before we create 2 equations.
Absolute value bars
When solving an equation and the variable x disappears, but we are left with a true statement like 5=5, what do we write for the solution?
Infinite solutions
What is the slope between the points (4, -2) & (4, 3)
5/0 means undefined
4 - 6x < 2(2x + 3)
x > -1/5
Solve the equation A = 2rh + 2B, for "B".
B = (A - 2rh)/2
9 -2|4x+1| >3
x>-1 and x<1/2 (-1 < x < 1/2)