Unit 1
Solve the equation.
3x-7x-12=2(x-3)
x=-1
Find the slope between the two points.
(-6,1) and (4,-4)
m=-1/2
If two lines are parallel, how many solutions will they have?
None
When two fractions are set EQUAL to each other, how do we solve it?
Cross multiply
Write the inequality in interval notation.
x<=-3
(-oo,-3]
Write an equation in slope intercept form given
m=-3 b=5
y=-3x+5
Solve by substitution.
6x+2y=-26
x-6y=21
(-3,-4)
When solving an absolute value equation, how many answers should you get?
2
Solve the proportion.
2=(4)/(x+8
x=-6
Write an equation in point slope form given the two points.
(-4,3) and (2,-6)
y-3=-3/2(x+4)
y+6=-3/2(x-2)
Solve by elimination.
2x-y=11
6x-3y=15
No solution
How do you write these symbols in interval notation?
> <
( )
Parenthesis
Solve the inequality and write in interval notation.
3(x+1)>=2(x-3)
[-9, oo)
Write in slope intercept form.
2y-3x=4
y=3/2x+2
Would the given inequality have a dashed or solid line? Would it be shaded above or below?
-3y+2x>=6
Solid line
Shaded below
When solving an inequality, what happens if you divide/multiply by a negative number?
The sign flips/changes
Solve the absolute value equation.
-5|4x-4|+9=-31
x=-1,3
Write in standard form.
y=-1/3x+4
x+3y=12
Is the point (5,3) a solution to
2x+4y>=12
Yes
When you solve a system of equations and the answer is "infinite solutions", what does that mean about the lines?
They are the same.