Graphing
Use a graphing calculator to solve the system.
y=3x-7
y=2x+10
(17, 44)
Solve the system by substitution.
y=6x+7
3x-8y=4
(-4/3, -1)
Find the solution using elimination.
x+y=7
2x-y=2
(3,4)
Is the ordered pair (3, 5) a solution to the inequality y>x+1?
Yes
Solve the equation.
2(11+2x) = 4x+22
What is the solution to the system of equations? Solve by graphing.
y=-3x-3
y=-0.5x+2
(-2,3)
What is the solution to the system of equations? (Use substitution)
y=3x+1
6x-2y=-2
Infinitely many solutions
Solve using elimination.
x+3y=7
2x+2y=6
(1, 2)
Graph the inequality on your calculator.
y<x-6
Shaded under the line y=x-6.
Write the equation in slope-intercept form that goes through the points (2,0) and (4,6).
y=3x-6
Use a graph to solve the system of equations.
y=3x-1
y=-2x+3
(0.8, 1.4)
Solve using substitution.
x+y=5.5
8x-4y=3.5
(2.125, 3.375) = (2 1/8, 3 3/8) = (17/8, 27/8)
Solve using elimination.
8x-2y=-8
5x-4y=17
(-3, -8)
Graph the solution to the system of inequalities.
y>-x+2
y<-x-2
The lines are parallel and shaded in opposite directions, so there is no shaded solution area.
The slopes of two perpendicular lines are opposite __________.
reciprocals
Approximate the solution of the system of equations by graphing.
y=5x+4
y=-3x-8
(-1.5, -3.5)
At a hot air balloon festival, Mohamed's balloon is at an altitude of 40 m and rises at 10 m/min. Dana's balloon is at an altitude of 165 m and descends 15 m/min.
In how many minutes will they be at the same altitude?
5 minutes
Solve using elimination.
Ella is a landscape photographer. One weekend at her gallery she sells a total of 52 prints for a total of $2,975. Ella sells her small paintings for $50 and large paintings for $75. How many of each size print did she sell?
She sold 37 small paintings and 15 large paintings.
Kendra earns $10 per hour babysitting and $15 per hour providing tech support. Her goal is to save at least $1,000 by the end of the month while not working more than 80 hours. Write and graph a system of inequalities that shows how many hours Kendra could work at each job to meet her goal.
BONUS 400 points: What is the fewest number of hours she could work and still reach her goal?
66 2/3 hours. 0 hour babysitting and 66 2/3 hours providing tech support
What is the domain and range of the function?
{(4,1), (2,3), (0,4), (5,3)}
Domain: {0, 2, 4, 5}
Range: {1, 3, 4}
Kiyo is considering two catering services for a party. A+ Food charges $35 per person and $75 to setup. Super Cater charger $38 per person with no setup fee. Write and solve a system of equations to represent the charges for catering by each company.
(25, 950)
They are the same price when catering to 25 people, and the cost is $950.
The sum of two numbers if 4. The larger number is 12 more than three times the smaller number. What are the numbers?
-2 and 6
Determine the value of n that makes a system of equations with a solution that has a y-value of 2.
5x+6y=32
2x+ny=18
n=7
How many inequalities are in a system of inequalities?
Two or more
Write the explicit formula for the sequence.
2, 6, 10, 14, 18, ...
an = 4(n-1) + 2
an = 4n - 2