Solving by Graphing
Solving Equations
Creating Inequalities
Creating Equations
Random
100
What is the solution?
(-1,1)
100
Solve the systems of equations:
-3x + 4y = -2
y = -5
(-6, -5)
100
Dana shops for school supplies with a spending limit of $50. All notebooks are $2 each, and all packs of pens and pencils are $0.25 each.
Which inequality shows the possible number of notebooks, x, and the number of packs of pens and pencils, y, that Dana can afford to buy?
2x+0.25y<=50
100
The sum of two numbers is 36. Twice the first
number minus the second is 6.
x + y = 36
2x - y = 6
100
What is it called when you have 2 or more equations with 2 or more variables?
A system of equations
200
Solve using Graphing
y= 2x + 1
y= -x + 7
(2, 5)
200
Solve the systems of equations:
-5x - 5y = 10
y =-x - 2
No Solution
200
- There are two groups, middle school and high school, for which he needs prizes.
- He wants to buy at least 14 prizes but to spend no more than $50.
- Drew finds fun middle school prizes for $2 each and high school prizes for $3 each.
x+y>=14
2x+3y<=50
200
A diner serves two lunch specials each day: a meat special and a vegetarian special. Each special sells for the same price each day. Consider the sales for the specials on Monday and Tuesday at the diner.
- Monday: 30 meat specials and 15 vegetarian specials for a total of $285
- Tuesday: 45 meat specials and 20 vegetarian specials for a total of $455
30x+15y=285
45x+20y=455
200
What would a system of equations with infinite solutions look like on a graph?
One line.
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
A dance club plans to buy sweatshirts for its team members. A black sweatshirt costs $18, and a white sweatshirt costs $20. The club plans to spend no more than $230 and buy a total of at least 12 sweatshirts.
x+y>=12
18x+20y<=230
300
One night a theater sold 548 movie tickets. An adult’s ticket cost $6.50 and a child’s ticket cost $3.50. In all, $2881 was taken in.
6.50x+3.50y=2881
x+y=548
300
What would a system of equations with one solution look like on a graph?
Two lines that intersect at one point.
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Leland works part time at a car wash and earns $10 an hour. He also babysits and earns $8 an hour. Leland plans to save more than $50 and to work for at most 10 hours in a month.
10x+8y>50
x+y<=10
400
Rob has $1.65 in nickels and dimes. He has 25 coins in all.
x+y=25
0.05x+0.10y=1.65
400
Solve the following System of Equations using ANY method:
x = 3y - 5
2x - 3y = -4
(1, 2)
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
A teacher has $160 to spend on food for a school fundraiser. The teacher will purchase a combination of hamburgers and hot dogs for the fundraiser.
- Hamburgers cost $4 each.
- Hot dogs cost $2 each.
4x+2y<=160
500
Your math teacher tells you that the next test is worth 100 points and contains 38 problems.
Multiple-choice questions are worth 2 points each and word problems are worth 5 points.
x+y=38
2x+5y=100
500
What would a systems of equations with no solution look like on a graph?
Parallel Lines