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Graphing
Elimination
Substitution
Inequalities
Systems
100
When 2 lines intersect, what does the intersection represent?
Solution set
100
What variable would you eliminate most easily in the following system of equations? 3x -7y = 12 and 7x + 7y = 96
Y
100
In the equation 2x + y = 14, solve for y
y = -2x + 14
100
Give the signs used for graphing dashed lines
< and >
100
Describe the format the inequality should be in to easily graph it?
Y-intercept format; y isolated and single
200
How do you represent the solution to a linear equation?
(x,y)
200
What would you do to use elimination in the following system of equations? 2y + 3x = 41 and x - y = 22
Multiply #2 by 2 and add the equations together
200
Frind the y-intercept in the following linear equation: 2y = 3x - 23
-23/2
200
What point do you usually use to determine where to shade an inequality?
Origin
200
How many ways can you graph a linear equation?
one line
300
Provide the coordinates for the y-intercept
(0,b)
300
Which variable would you eliminate and why? 2x -9y = 23 and x - y = 14
Multiply 2nd equation by -2 and then add and it eliminates the x term or multiply the second equation by -9 and it eliminates the y term.
300
Solve for either variable in the following equation: 2x/3 + 4y/7 = 1
y = 21/12 - 14x/12= 7/4 - 7x/7 x =21/14 - 12y/14 = 3/2 - 6/7
300
How many solutions does an inequality have?
Infinite
300
How many solutions does a linear equation contain?
Infinite number
400
Put the following equation into the standard form for slope intercept: 2x - y = 3x + 4
y = -x - 4
400
Solve the following using elimination. Show your work in order to get it right! x - 4y = -24 and 3y - 2x = 13
(4,7)
400
What variable would you substitute in the following SOE? x+y = 23 and 7x -4y = 97
x = 23-y or y = 23-x
400
Describe the graph of x>13
Everything to the right of x = 13
400
When 2 inequalities are graphed, what does the intersection of the graphs represent?
Solutions to both inequalities
500
Prove that (7, -4) is a solution to the following equation: 2x-3y = 26
2(7) -3(-4) = 14+ 12 = 26
500
What do you need to do to both equations in order to use elimination? DO NOT SOLVE. Explain how you would set it up for elimination: 3x - 4y = 17 and 2x + 7y = 21
Multiply #1 by 2 and #2 by 3 and solve for y by eliminating x or Multiply #1 by 7 and #2 by 4 and solve for x
500
Explain when you would want to use substitution as a procedure to solve SOE.
If it is easy to isolate a variable, e.g. coefficient of one variable is already one.
500
When does the graph of an inequality include the points on the line as part of the solution?
Solid line rather than a dashed line
500
Write a system of inequalities that would completely shade Quadrant I and only Quadrant I.
x> 0 and y?0