Word Problems
Nina bought 4 cups of coffee and 2 muffins for $10.00. Patrick bough 3 cups of coffee and 5 muffins for $14.50. One of the equations is 4c+2m=10.00. What is the other equation?
3c+5m=14.50
This is where you locate the solution to a system on a graph.
where the lines intersect
To solve this system, you would plug in ________ in place of _______.
2y - x = 4
x = 6
6 in place of x
Add or subtract?
x + 5y = 12
-x +y = 0
What is add ?
(1,3) is the solution to the following system.
x + y = 4
y - x = 2
What is yes ?
Alexa purchased 20 notebooks and 30 packs of pencils for her classroom for $125. Brad purchased 10 notebooks and 10 packs of pencils for $47.50. One of the equations is 20n+30p=125. Write the other equation.
10n+10p=47.50
When locating a solution on a graph, the ____ (x or y) value comes first.
x
To solve this system, you would plug in ________ in place of _______.
y = 6x - 11
-2x - 3y = -7
6x - 11 in place of y
Add or subtract?
-4x - 2y = -12
4x + 8y = -24
What is add?
True or False: There are infinite solutions to the following system.
y = 3x + 4
y = 3x - 5
What is false?
The sum of two numbers is 27. Their difference is 13. Write the system of equations.
x+y=27
x-y=13
A graph with infinite solutions looks like...
lines overlap/on top of each other
If you've found the value of one variable, you find the other variable by...
Add or subtract?
5x + 2y = 9
10x + 2y = -18
What is subtract?
(2, 1) is a solution to the system
2x + y = 4
x + y = 7
What is No?
Find the value of two numbers if their sum is 12 and their difference is 4.
What is (8,4) ?
A graph of a system with no solution looks like...
parallel lines/lines never intersect
The solution to the system
x + y = 2
y = 3
What is (-1,3)?
The solution to the system
x + 2y = 9
x + y =6
What is (3, 3)?
(4,5) is the solution to the following system.
4x - y = 12
x + 6y = 13
What is No?
Harold had a summer lemonade stand where he sold small cups, x, of lemonade for $1.25 and large cups, y, for $2.50. Harold sold a total of 155 cups of lemonade and collected a total of $265. One of the equations is x+y=155. What is the other equation?
1.25x+2.50y=265
How many solutions does this system have?
y=2x+4
y=2x+10
What is no solution?
The solution to the system
x = 3y
x + 2y = 15
What is (9,3) ?
The solution to the system
3x + 2y = 7
-3x + 4y = 5
What is (1,2)?
(1, 4) is the solution to the system.
y = 4x
x + 2y = 9
What is yes?