Starts with "s"
Graphing Technique
Substitution/Elimination Technique
Choose your own adventure
Word Problems
100
The point of intersection of graphs on coordinate plane.
Also known as the values of the variables that make both/all the equations true.
What is the SOLUTION to a system of equations?
100
The solution to this system
What is (0,-2)?
100
The solution to this system (use Substitution)
x=2y-6
3x+4y=32
What is (4,5)?
100
The solution to this system
(you choose the method you think would be the most efficient)
3x+4y=29
x+2y=11
What is (7,2)?
100
The two numbers in the situation below.
Two numbers that have a sum of -2 and a difference of -7.
What are -4.5 and 2.5?
200
A group (2 or more) of equations that are solved together.
What is a SYSTEM of equations?
200
The solution to this system
What is no solution?
200
The solution to this system (use Elimination)
4x+3y=-5
2x+3y=-1
What is (-2,1)?
200
The solution to this system (you choose the method you think would be the most efficient)
2x+2y=17
(4x+1)/6=1/2
What is
(1/2,8)?
200
The measures of the angles in the diagram.
What is 85 degrees (A), 40 degrees (B), 55 degrees (C) and 125 degrees (D)?
300
The ratio that compares the change in y-values to the change in x-values and is needed if going to solve a system using the graphing technique.
What is SLOPE?
300
The solution to this system
(and yes there are 2 lines graphed)
What is infinite solutions?
300
The solution to this system (use Elimination)
-2y-4x=6
-18-12x=6y
What is infinite solutions?
300
The solution to this system (choose the method you think would be the most efficient)
1/2x+2/3y=8
y=1/2x+2
What is (8,6)?
300
The cost of a hamburger in the situation below.
Ben bought 5 cheeseburgers and 3 hamburgers for a total of $21. Carl bought 4 cheeseburgers and 1 hamburger for a total of $14.
What is $2.00?
400
You may be interested in doing this when using the elimination technique to make the original equations look easier. For example, the equation
6x + 6y = 8400 could be ________ to x + y = 1400 if you divide both sides by 6.
What is SIMPLIFY?
400
The solution to this system (use the Graphing method)
y=2/3x+3
y=-x+8
What is (3,5)?
400
The solution to this system (use Elimination)
2x+4y-z=22
x+3y+2z=31
x+y+3z=27
What is (4,5,6)?
400
The solution to this system (you choose the method you think would be the most efficient)
3x+5y+2z=3
2x+5y+3z=2
x+3z=-3
What is (0,1,-1)?
400
The speed of the plane in still air and the speed of the wind in the situation below.
Flying against the wind, a plane flew 2000 miles in 5 hours. The return trip, flying with the wind, took 4 hours.
What is 450 mph and 50 mph?
500
The most efficient technique to use when you have a variable already isolated on one side of an equation.
What is the SUBSTITUTION technique?
500
The solution to this system (use Graphing method)
4x+y=2
x-2y=5
What is (1,-2)?
500
The solution to this system (use Substitution)
x+y+z=7
z+5=x
y=2x
What is (3,6,-2)?
500
(GOLD) The solution to this system (choose the method you think would be the most efficient)
(x+3)(y-12)=xy
(x+2)(y-10)=xy
What is (2,20)?
500
The original fraction in the situation below.
The denominator of a fraction is 5 more than twice the numerator. When the numerator and the denominator are both decreased by 1, the resulting fraction is equal to 1/5.
What is
3/11?