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Solving Systems of Equations
by Graphing
Solving Systems of Equations
by Substitution
Solving Systems of Equations
by Elimination
Systems of Linear Inequalities
Miscellaneous
100
Solve the system of linear equations by graphing. y = 2x + 5 y = 1/2x - 1
Solution: (-4, -3)
100
Solve the system of equations by substitution. y = 2x + 3 y = 5x
5x = 2x + 3 y = 5(1) Solution: (1, 5) 3x = 3 y = 5 x = 1
100
Solve the system of equations by elimination. x + 3y = -2 x - 3y = 16
2x = 14 7 + 3y = -2 Solution: (7, -3) x = 7 3y = -9 y = -3
100
Tell whether the ordered pair is a solution of the system of linear inequalities. y < 5 (-1, 5) y > x - 4
5 is not less than 5 No
100
The name of Gaston's sidekick in Beauty and the Beast
Who is LeFou
200
Solve the system of equations by graphing. y = -x - 4 y = 3/5x + 4
Solution: (-5, 1)
200
Solve the system of equations by substitution. y = x - 4 y = 4x - 10
x - 4 = 4x - 10 y = 2 - 4 Solution: (2, -2) 10 - 4 = 4x - x y = -2 6 = 3x 2 = x
200
Solve the system of equations by elimination. -5x + 2y = 13 5x + y = -1
3y = 12 5x + 4 = -1 Solution: (-1, 4) y = 4 5x = -5 x = -1
200
Graph the system of inequalities. Find at least one solution. y < 3 (less than or equal to) y > x + 2
Ex: One solution is (-3, 1)
200
The first Disney feature length animated film
What is Snow White
300
Solve the system of equations by graphing. y = 1.5x - 2 y = -x + 6
Solution: (3, 3)
300
Solve the system of equations by substitution. y - x = 0 2x - 5y = 9
y = x 2x - 5x = 9 y = x Solution: (-3, -3) -3x = 9 y = -3 x = -3
300
Solve the system of equations by elimination. -6x + 5y = 25 -2x - 4y = 14
-6x + 5y = 25 -2x - 4(-1) = 14 Solution: (-5, -1) 6x + 12y = -42 -2x + 4 = 14 -2x = 10 17y = -17 x = -5 y = -1
300
Graph the system of linear inequalities. Describe the solution. 2x + y < -1 2x + y > 3
No solution
300
Aladdin steals this at the beginning of the movie
What is a loaf of bread
400
Solve the system of equations by graphing. x - y = 7 0.5x + y = 5
Solution: (8, 1)
400
Solve the system of equations by substitution. 4x - 2y = 14 y = 1/2x - 1
4x - 2(1/2x - 1) = 14 y = 1/2(4) - 1 4x - x + 2 = 14 y = 2 - 1 3x + 2 = 14 y = 1 3x = 12 x = 4 Solution: (4, 1)
400
Write a system of linear inequalities represented by the graph shown.
y < 1/2x + 4 (or equal to) y > 3/2x + 1
400
The city in the movie the Princess and the Frog
What is New Orleans
500
Write a system of equations for the following situation. Then solve by graphing. A kicker on a football team scores 1 point for making an extra point and 3 points for making a field goal. The kicker makes a total of 8 extra points and field goals in a game and scores 12 points. Write and solve a system of linear equations to find the number x of extra points and the number of field goals. Explain what the solution means.
System: x + y = 8 Solution: (6, 2) x + 3y = 12 The kicker made 6 extra points and 2 2 field goals.
500
Write a system of equations for the situation. Solve the system by substitution. There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. How many students are in the drama club? the yearbook club?
x + y = 64 y + 10 + y = 64 x = 27 + 10 2y + 10 = 64 x = 37 x = y + 10 2y = 54 y = 27 drama: 37 students yearbook: 27 students
500
Write a system of equations for the situation. Solve by elimination. A landscaper buys 4 peonies and 9 geraniums for $190. Another landscaper buys 5 peonies and 6 geraniums for $185. Write and solve a system of linear equations to find the cost of each peony.
4x + 9y = 190 Solution: x = 25; $25 per peony 5x + 6y = 185
500
Write a system of linear inequalities for this situation. Graph the inequalities. You can spend at most $21 on fruit. Blueberries cost $4 per pound and strawberries cost $3 per pound. You need at least 3 pounds to make muffins. Is it possible to buy 4 pound of blueberries and 1 pound of strawberries in this situation?
x = pounds of blueberries x + y > 3 (or equal to) y = pounds of strawberries 4x + 3y < 21 ( or equal to) Yes this is more than 3 pounds and costs $19, which is less than $21.
500
The names of the three type of ships used to destroy the Death Star in Star Wars episode 4
X-Wing, Y-Wing, Millennium Falcon