Solve the System
All, Some, or None
Word Problems
Balance that Hanger
100
Solve the system of equations.
y=x-3
y=-x+5
(4,1)
100
How many solutions does this system of equations have?
Infinite solution
100
Nikkie and Alejandra are each saving money.
- Nikkie starts with $110 and saves $4 every week.
- Alejandra starts with $95 and saves $9 every week.
After 4 weeks, who has more total money?
Alejandra
Nikkie saved $126
Alejandra saved $131
100
Here is a balanced hanger. If triangles are 5 oz. and squares are 6 oz., how much do circles weigh?
Circles are 2 oz.
200
Solve the system of equations.
y=-2x+9
y=4x-3
(2,5)
200
How many solutions does this system of equations have?
No solution
200
Mary and Kevin are each saving money.
- Mary starts with $80 and saves $12 every week.
- Kevin starts with $120 and saves $5 every week.
After 5 weeks, who has more total money?
Kevin saved more.
Mary saved $140
Kevin saved $145
200
Here is a balanced hanger. If squares are 3 grams and circles are 2 grams, how much do triangles weigh?
Triangles are 7 grams.
300
Solve the system of equations.
y=1/2(8x-4)
y=3x+9
(11, 42)
300
How many solutions does this system of equations have?
y=2x-8
y=2(x-4)
Infinite solutions
300
Vicente and Dennis are each saving money.
- Vicente starts with $75 and saves $10 every week.
- Dennis starts with $90 and saves $5 every week.
After how many weeks will they have the same total amount saved?
After 3 weeks, they will both have $105 saved.
300
Here is a balanced hanger. If triangles are 7lbs and circles are 3lbs, how much do the squares weigh?
Squares are 5lbs.
400
Solve the system of equations.
13x-5y=7
y=2x+1
(4,9)
400
How many solutions does this system of equations have?
y=1/3(9x+18)
y=3x-18
No solution
400
Jacob and Sean are each saving money.
- Jacob starts with $82 and saves $14 every week.
- Sean starts with $117 and saves $9 every week.
After how many weeks will they have the same total amount saved?
After 7 weeks, they both saved $180.
400
Here is a balanced hanger. If circles weigh 6 kilograms and triangles way 9 kilograms, how much do squares weigh?
Squares are 13kg
500
Solve the system of equations.
6x+2y=21
2x-2y=3
(3,1.5)
500
How many solutions does this system of equations have?
6x+9y=4
y=-x+13
One solution
500
Leo and Shawna are each saving money.
- Leo starts with $125 and saves $17 every week.
- Shana starts with $90 and saves $22 every week.
After how many weeks will they have the same total amount saved?
After 7 weeks, they saved $244.
500
Here are two balanced hangers. If squares are 3lbs, how much do circles and triangles weigh?
Circles are 5lbs and triangles are 2lbs.