Convert to standard form: y=x+5
x-y=-5
Convert to standard form: y+3=2(x-1).
2x-y=5
A store sells gift cards in preset amounts. You can purchase gift cards for $10 or $25. You have spent $285 on gift cards. Write an equation in standard form to represent the situation. What are three combinations of gift cards you could have purchased?
10x+25y=285
11 $25, 1 $10; 9 $25, 6 $10; 7 $25, 11 $10; more possible.
Find the x and y intercepts of x+y=9.
(9,0)
(0,9)
Find the slope of: x+y=9.
-1
Convert into standard form: y=3x+4.
3x-y=-4
Convert to standard form: y+5=-(x-2)
x+y=3
You are preparing a fruit salad. You want the total carbohydrates from pineapple and watermelon to equal 24g. Pineapple has 3g of carbohydrates per ounce and watermelon has 2g of carbohydrates per ounce. Write an equation in standard form and list two possible solutions.
x=pineapple
y=watermelon
3x+2y=24
0 pineapple, 12 watermelon; 8 pineapple, 0 watermelon; 6 pineapple, 3 watermelon
Find the x and y intercepts of: x-2y=2.
(2,0)
(0,-1)
Find the slope of x-2y=2.
-1/2
Convert into standard form: y=-2x+1.
2x+y=1
Convert to standard form: y-1=-3(x+2)
3x+y=-5
Suppose your school is having a talent show to raise money. You think that 200 students and 150 adults will attend. It will cost $200 to put on the talent show. What is an equation that describes the ticket prices you can set for students and adults to earn $1000?
x=students
y=adults
200x+150y=1200
$6 students, free adults; free students, $8 adults; $3 students, $4 adults
Find the x and y intercepts of: -3x+3y=7.
(-3/7,0)
(0,3/7)
Find the slope of -3x+3y=7.
1/7
Convert to slope-intercept: 3x+4y=20.
y=-3/4x+5
Convert to point-slope form: 3x+4y=12, and the point (0,3)
y=-3/4(x)
A media download store sells songs for $1 and movies for $12. You have $60 to spend. Write an equation and list three possible solutions.
x=songs
y=movies
x+12y=60
0 songs, 5 movies; 60 songs, 0 movies; 12 songs, 4 movies
Find the x and y intercepts of: 3x-5y=-20.
(-20/3,0)
(0,4)
Find the slope of 3x-5y=-20.
3/5
Convert to slope-intercept: x+10y=15
y=1/10x+2/3
Convert to point-slope: -x+y=2, and the point (1,3).
y-3=x-1
A store sells T-shirts for $12 each and sweatshirts for $15 each. You have $120 to spend. Write an equation and list three possible solutions.
x=shirts
y=sweatshirts
12x+15y=120
10 shirts, 0 sweatshirts; 0 shirts, 8 sweatshirts; 5 shirts, 4 sweatshirts
Find the x and y intercepts of: 7x-y=21
(3,0)
(0,-21)
Find the slope of 7x-y=21.
-7