Understanding Graphs
Solving Systems By Elimination
Solving Systems By Substitution
Systems of Inequalities
Mixed Review
100
What is the slope of the line? 3x - y = 2
3
100
Solve by elimination 2x + 3y = 7 -2x + 5y = 1
(2, 1)
100
Solve by substitution 4w + 2p = 8 p = 2w +1
(0.75, 2.5)
100
Should the line be dashed or solid? y > 3x - 2
Dashed
100
What is the slope of each of the lines in the system? What are the y and x-intercepts of each of the lines in the system? -9x + 2y = 4 2x + 9y = -6
m = 9/2 and m = -2/9 b = 2 and b = -2/3 x = -4/9 and x = -3
200
What is the y-intercept of each of the lines in this system? 4x + y = 1 x + 4y = -11
1 and -2.75
200
x + 2y = -1 x - y = 8
(5, -3)
200
Solve by substitution 2x - 3y = 6 x + y = -12
(-6, -6)
200
Should the graph of this line be shaded above or below the line? -4x + 2y ≥ -16
Above
200
Solve by elimination 4x + 2y = 4 6x + 2y = 8
(2, -2)
300
What is the x-intercept of each of the lines in the system? 3x + y = 5 7x - y = 15
5/3 and 15/7
300
Solve by elimination 5x - y = 4 2x - y = 1
(1, 1)
300
Solve by substitution 2m = -4n - 4 3m + 5n = -3
(4, -3)
300
Solve this system of inequalities 2x + y < 1 y > -2x + 3
No solution
300
Solve by substitution 3x + 2y = 10 6x + 4y = 15
No solution
400
What is the solution of the system? 3x + 2y = 4 2x - 4y = 8
(2, -1)
400
Solve by elimination 3x + 4y = 10 2x + 3y = 7
(2, 1)
400
Solve by substitution 2x - 3y = -1 3x + 4y = 8
(20/17, 19/17)
400
Should the line be dashed or solid? Should the graph of this line be shaded above or below the line? What is the solution of the system of inequalities? x + 2y ≤ 10 x + y ≤ 3
Solid. Below. (-4, 7).
400
Should the line be dashed or solid? What is the solution of the system of inequalities? x + y ≥ 2 2x + y ≤ 5
Solid. (3, -1).
500
What is the slope of each of the lines in the system? What are the y and x-intercepts of each of the lines in the system? Where does the system intersect? -3x + 2y = 8 x + 2y = -8
m = 3/2 and m = -1/2 b = 4 and b = -4 x = -8/3 and x = -8 (-4, -2)
500
Solve by elimination x - y = -4 3x + 2y = 7
(-1/5, 19/5)
500
Solve by substitution 4y = 2x 2x + y = x/2 + 1
(0.5, 0.25)
500
Your mom wants to plant at least 50 petunias and sunflowers in her garden, but no more than 20 sunflowers. Write a system of inequalities to model the situation.
p + s ≥ 50 s ≤ 80
500
You have some one dollar bills and five dollar bills in your wallet. You have a total of fifteen bills that are worth fortyseven dollars. How many of each bill do you have?
Seven one dollar bills and eight five dollar bills.
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