Solving Systems
Writing Equations
Word Problems
Look at this graaaaph
Nonsense Teacher Drew says
100
How many solutions does this system of equations have?
Infinite
Both simplify to y = 3x - 1
100
What is the inequality to the line shown?
y<= 3/2 x - 3
100
Annie wants to buy every stuffed stuffy thats a dog or a cat. Her mom says she can 3 maximum. Write an equation to show show Annie's predicament. Remember she also cannot get a negative number of toys.
d = number of dog toys
c = number of cat toys
d + c <= 3
d + c >= 0
Other variables welcome.
100
Alex and his little brother Andy went on a 30 minute on a jog. Andy got a half-mile head start. What are the two boys' rate in mph for the jog?
Andy: 7.5 mph
Alex: 10 mph
100
Yellow
What's Teacher Drew's favorite color?
200
Would elimination or substitution be the more efficient way to find the solution to the system below?
4x + 2y = 8
5x - y = 10
Elimination; both equations are in standard form. If you multiply the bottom equation by 2, you will additive inverses of 2y and -2y.
200
Which inequalities create the graph below?
y<3-2x
y<5x-4
200
Lilith makes soap and lotion. It takes her 20 minutes to make a batch of soap and 35 minutes to make a batch of lotion. The costs of producing each batch are $5 for the soap and $15 for the lotion. Lilith has 20 hours available to make soap and lotion. The materials to make the soap and lotion must cost at most $325. The system of linear inequalities represents this situation.
What does the solution (53, 4) represent?
Something to the effect of: "Lilith can make a maximum of 53 batches of soap and 4 batches of lotion."
200
Which of the following is a solution to the shown system of inequalities?
(2, -3) (2, 4) (0, 0) (0, 3) (6, 9) (-2, 0)
(2,4) (0, 0) (0, 3)
200
1, 2, 3 ... , 👀 ... , 4 ...
Y'all are yappin too much
300
What is a solution to this system of inequalities?
(0, 0) (0, -10) (-10, 0) (4, 1)
(0, -10)
-10 < 5(0) + 4
-10 < -2(0) + 3
300
Jim has a farm with only goats and chickens, but he's not sure how many of each he has. He knows there are 82 animals total, and he has counted 254 legs. Write a system Jim can use determine how many goats (g) and chickens (c) he has.
c + g = 82
2c + 4g = 254
300
Write a system of equations to represent the following scenario:
A satellite TV company offers two plans. One plan costs $115 plus $30 per month. The other plan costs $60 per month.
t = total cost
m = months
t = 115 + 30 m
t = 60m
300
Andy and his little brother Alex went on a jog. Andy got a half-mile head start. What are the equations of the two lines?
Andy: y=0.5 + 7.5x
Alex: y=10x
300
Sprout
What's the name of Tr. Drew's dog? / What's the name of the best dog?
400
Solve the system of equations:
4x + 2y = 8
5x - y = 10
(2, 0)
400
A company is buying new computers. The company needs no more than 220 desktops and at least 50 laptops. A total of at least 200 computers must be bought. Write a system of linear inequalities to represent the constraints of this situation. Let x represent the number of desktops, and let y represent the number of laptops.
x = number of desktops
y = number of laptops
x<=220
y>=50
x+y>=200
Other variables welcome
400
A satellite TV company offers two plans. One plan costs $115 plus $30 per month. The other plan costs $60 per month. How many months must Alfia have the plan in order for the first plan to be the better buy?
4 months
400
What are the equations for the inequalities shown?
x<=2
y<=x+3
y> -x-2
y>x-4
400
:) Y'all are so smart
Literally anything. Y'all ARE so smart. And hard working.