Equations/Inequalities (Ch.1&2)
Solve the Equation:
3(2x-6)=-18
x=0
What makes a relation a function?
Each input has exactly one output
Write an equation in slope-intercept form that has the given characteristics:
has a slope of -3 and goes through (-8,4)
y=-3x-20
Solve the system of equations.
y=-3x+8
y=-2x+8
(0,8)
Simplify:
4x-2
4/x2
Solve the Equation:
6(4x+24)-14=8(3x+16)+2
Infinitely Many Solutions
Determine if the relation is a function:
(0,5),(-2,-1),(9,-1),(6,5)
Yes. Each input has exactly one output.
Write an equation in slope-intercept form that has the given characteristics:
Goes through (6,2) and (16,7)
y=0.5x-1
Solve the system of equations.
x=5x+2
2x+y=28
(-1/2,29)
6x-3/2x-1
3/x2
Solve the Inequality:
7(-6x+3)-18x>201
x<-3
What is Schultz's favorite color?
BLUE!
Write an equation in slope-intercept form that has the given characteristics:
passes through (4,6) and is parallel to y=0.5x+17
y=0.5x+4
2x+3y=14
5x-9y=2
(4,2)
(3x-2y3z0)-3
x6/27y9
Charley went to the store to buy a CD player and CD's. The CD player cost $19.99 and each CD costs 5.95. If Charley spent a total of $91.39 on a CD player and CDs, write an equation AND solve it to find out how many CDs were purchased.
19.99+5.95c=91.39
12 CDs
solve for x if f(x)=-3
f(x)=-4x-3
x=0
Write an equation in slope-intercept form that has the given characteristics:
passes through (3,12) and is perpendicular to y=3x+4
y=-1/3x+13
Solve the system of equations.
3x+4y=-3
-7x+3y=7
(-1,0)
Compare the function to it's parent graph:
y=-0.5(3)x+3-2
The function is
-reflected over the x-axis
- has a vertical shrink of 1/2
- shifted 3 units to the left
-shifted 2 units down
If the three angle measurements of a triangle are 3x+1, x+10, and 3(x-2), what is the value of x?
x=25
Solve for f(x) if x=-5
f(x)=-x2-2
f(x)=-27
Write an equation in slope-intercept form that has the given characteristics:
perpendicular to the line that passes through (8,2) and (9,4)
y=-1/2x+6
Charlie sold $15.85 necklaces and $9.99 earrings at a market downtown earning a total of $250.81. She sold twice as many earrings as she did necklaces. Write AND solve a system of equations to determine how many necklaces and earrings she sold.
15.85n+9.99e=250.81
2n=e
7 necklaces
14 earrings
Without graphing, what is the range of the function below:
y=2(3)x-2+3
y>3