Identify the Solution
Interpret the Solution
Is it a solution?
Find the SLOPE
100
A cyclist is already 2 miles from home when a ride begins. The cyclist travels an additional 3 miles each hour.
Name a Solution of the equation.
What is points on the line...
100
A cyclist is already 10 miles from home when the ride begins. The cyclist travels an additional 2 miles each hour.
A solution is (10, 30)
Interpret the solution in context.
What is
after 10 hours, the cyclist was 30 miles from home?
100
Is (3,5) a solution of the equation
y = 3x+8
No.
5 = 3(3)+8
5 = 9+8
5=17 NO!
100
What is the slope of the line that passes through
(2, 5) and (8, 17)?
Slope = 2
(17-5)/(8-2) = 12/6= 2
200
A school club pays a one-time fee of $25 to rent a booth at a fair. Each item the club sells costs $2 to produce.
Name a solution of the equation.
The answer is on the line....
200
Sage saved up about $800 last month. But they wanted to buy lunch at McDonalds for $5.50 every week.
A solution is (100, 250).
Interpret the Solution from the context.
What is...
After 100 weeks, Sage only has $250 in their account
200
Is (6, 7) a solution of
12x+3y = 36
no.
12(6) + 3(7) = 36
72 +21 = 36
93 = 36
NO!
200
What is the slope of the line that is made by the equation
y = -3/2x+10
Slope is
-3/2
300
At sunrise, the temperature is 18oC. The temperature increases by 2oC each hour.
Name a solution of the equation.
Anything on the graph:
300
A plant is 12 centimeters tall when it is placed in sunlight. Its height increases by 4 centimeters each week.
A solution is (13, 64)
Interpret the Solution in context.
What is
After 13 weeks, the plant is 64 centimeters tall.
300
Is (-2, 32) a solution of
y = -8x+16
32 = -8 (-2)+16
32 = 16+16
32 = 32
YES!
300
Find the slope of the following
-2
400
A plant is 12 centimeters tall when it is placed in sunlight. Its height increases by 4 centimeters each week.
Name a solution of the equation.
Any of the solutions on the graph:
400
Mr. Gorislavsky was preparing for the Friday's night football game against Smith-Cotton. If he was hosting a watch party with his roommates, he wanted to buy pizza slices, x, for $13 each and sodas, y, for $2 each. If he only had $75 for the party.
A solution of the equation would be (3, 18)
What is
Mr. G might buy 3 pizzas and 18 sodas.
400
Is (10, -3) a solution of
3x+5y = 15
YES!
3(10) + 5(-3) = 15
30 + -15 = 15
15 = 15
YES
400
Find the slope of the following table:
Slope is
-5/3
500
Mr. Freitag wanted to throw a party! He had to buy 8 tablecloths and 10 streamers. He spent $95 on the party supplies.
Name a possible solution of this equation.
Anything on the line
500
Boby bought 12 bananas and 3 apples. He spent $36.
A solution of the equation would be (2, 4)
What is
Bananas cost $2 per banana and Apples cost $4 per apple.
500
2x + 3y -5z = -30
Is (2, 5, 10) a solution.
NO!
2(2) + 3(5) - 5(10) = -30
4 + 15 -50 = -30
19 - 50 = -30
-31 = -30
NO!
500
Find the slope of the following
Slope is 3