Graphing overview
Find the intercepts of the following equation and graph:
2x+y=4
x=(2,0)
y=(0,4)
Solve by substitution:
3x+2y=3
−2x− y=-1
x=-1
y=3
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
small box of oranges: $7, large box of oranges: $13
Find the domain and write it in interval notation:
f(x)=x^3-4
(-inf,inf)
Graph the following and then find where the equations intersect:
y=3
x=-2
(-2,3)
Solve by elimination:
3x+2y=−1
4x− 5y=14
x=1
y=-2
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
(1.25,2.5)
x = the price of 1 soft taco
y= the price of 1 burrito
Find the domain of the following function and write in interval notation:
f(x)=1/x+5
(-inf,-5) U (-5,inf)
Graph the following equation and find where they intersect:
y=-3x+4
y=3x-2
(1,1)
Solve the following using elimination:
x/3 - y/2 = 1
x/4 + y = 2
(0,-2)
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
(35,52)
35 hot dogs and 52 sodas were sold
Find the domain and write it in set notation:
y= *square root*(2x+8)
{x|x greater than or equal to -4}
Graph the following and find where they intersect:
4x+2y=10
x-y=13
(6,-7)
Solve by substitution:
2x - y = -4
6x - 3y = -12
infinite number of solutions
Each polio vaccination consists of 4 doses, and each measles vaccination consists of 2 doses. Last year, Doctor gave a total of 60 vaccinations that consisted of a total of 184 doses. How many polio vaccinations and how many measles vaccinations did Doctor give last year?
Doctor gave 32 polio vaccinations and 28 measles vaccinations.
Find the domain and write it in interval notation:
y=*square root*(x^2-25) / 3x-24
(-inf,-5] U [5,8) U (8,inf)
Graph the following equations and find where they intersect:
y=-2/3x-2
y=-8/3x+4
(3,-4)
Solve the following using substitution:
3x−2y=7
y=3/2x + 5
no solution
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
1500 children and 700 adults
Find the domain and write in set notation:
y=*square root*(9-x^2) / (x^2+7x+10)
{x|-3 less than or equal to x less than or equal to 3, x cannot equal -2}