Factoring
factor: X2+5x+6
(x+3)(x+2)
What is the slope of a line that passes through the points (1,6) and (3,8)?
m=1
A car rental company charges a flat fee of $30 per day plus $0.20 per mile driven. Write an equation to represent the total cost, C, for renting the car for dd days and driving mm miles.
C=0.20x+30
solve:x2-5x+6=0
x=2
x=3
x+y=10
x−y=2
x=6
y=4
Factor: x2-9
(x-3)(x+3)
Write the equation of a line in slope-intercept form that has a slope of 2 and passes through the point (1,4).
y=2x+2
A store sells two types of phones: a basic model for $120 and a premium model for $180. If a customer buys 3 basic phones and 2 premium phones, how much will the total cost be?
720
2x2+3x−5=0
x=2.5
x==1
2x+3y=10
4x+y=20
x=5
y=0
Factor : 2x2+8x
2x(x+4)
Find the slope of the line passing through (2,3) and (4,7).
m=2
The sum of a number and twice its value is 30. What is the number? Write and solve the equation to find the value of the number.
x+2x=30
x=10
x2−4=0
x=2
x=-2
4x-3y=12
4x+3y=12
x=3
y=0
Factor completly: 3x2+12x+9
3(x+3)(x+1)
Given the equation y=−3x+5, what is the slope of the line?
-3
A swimming pool is being filled with water at a rate of 2 gallons per minute. After 15 minutes, the pool contains 30 gallons of water. Write an equation and determine how long it will take to fill the pool with 120 gallons of water
y=2x
x=60
3x2−7x=0
x=0
x=7/3
6x+4y=26
2x-3y+25
x=8
y=-3
Factor by grouping: 4x2+8x+3x+6
4x(x+2)+3(x+2)
(4x+3)(x+2)
Find the equation of the line that passes through the point (2,1) and has a slope of 1/2
y=1/2x
A company sells two types of tickets for a concert: adult tickets for $25 and student tickets for $15. If the total revenue from 200 tickets sold is $4,500, how many adult and student tickets were sold? Set up and solve the system of equations
x+y=200
25x+15y=4500
x=150
y-50
x2+6x+9=0
x=-3
-5x+2y=20
5x-3y=15
x=-18
y=-35