Vocabulary
Graphing
Substitution
Elimination
Word Problems
100
The answer to an equation or system of equations
Solution
100
What is the solution?
Infinite Solutions
100
The solution to the system
x = 4y
2x + 3y = 22
(8,2)
100
The solution to the system
x + y = -6
x - y = -10
(-8,2)
100
A puppy named Cricket started out at 2 pounds and gained 4 pounds every month. Write an equation that shows the relationship between the age and the weight .
y = 4x + 2
200
These types of lines have no solution
Parallel lines
200
Find the solution.
(-2,2)
200
The solution to the system
y = x - 2
3x - y = 16
(7,5)
200
The solution to the system
8a + 5b = 9
2a - 5b = -4
(1/2, 1) or (0.5, 1)
200
A plumber charges $79 to visit a client's home, plus an additional $84 per hour. If a plumber's visit lasted 8 hours, how much would it cost? Write and solve an equation to find the answer.
$751
300
The equation y= mx + b is more formally known as
slope-intercept form
300
Solve by Graphing.
y = 3x + 1
-6x + 2y = 8
No solution
300
The solution to the system
y = 3x - 1
7x + 2y = 31
(3,8)
300
The solution to the system
2a - 4b = 12
-8a + 16b = -48
Infinite Solutions
300
A person can pay $39 for a membership to the art museum and then go to the museum for just $2 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $49? Write and solve an equation to find the answer.
y = 2x + 39
x = 5 visits
400
The ratio of rise to run
Slope
400
Solve by graphing
y = 2/3x + 3
y = 2x - 6
(6,6)
400
The solution to the system
3s - 2t = 4
t = 2s - 1
(-2, -5)
400
The solution to the system
5x - 4y = 18
x + y = -9
(-2, -7)
400
A puppy named Cricket started out at 3 pounds and gained 6 pounds every month. At how many months did Cricket weigh 51 pounds? Write and solve an equation to find the answer.
y = 6x + 3
x = 8 months
500
-3x and +3x is an example of a
zero pair
500
Solve by graphing.
5x+ 2y = 4
9x + 2y = 12
(2, -3)
500
The solution to the system
t + u = 12
t = (1/3)u
(3,9)
500
The solution to the system:
2x + 3y = 6
3x + 5y = 15
(-15, 12)
500
John needs to weigh 150 pounds to qualify for his wrestling match. He is currently 157 pounds, he has started a workout plan and will loose half of a pound each week. Write and solve and equation to find how many weeks it will take John to reach his goal weight.
y = 157 - 0.5x , 12 weeks
y = -0.5x + 157 , 12 weeks