Solving for y
Writing Systems
Solving Systems
Graphing Inequalities
Solving Inequalities
100
Solve for y
2x+y =5
y=-2x+5
100
The perimeter of a rectangle is forty inches. The length is two inches more than three times the width.
2L + 2w = 40
L = 3w + 2
100
What is the solution to the system?
(-3, -3)
100
Does y > 3x+4 have a solid or dotted line?
Dotted
100
What is the difference between ≤ and < ?
≤ means that the line is included in the solution set whereas < means the line is not included.
200
-6x+3y=36
y=2x+12
200
You have a total of 17 coins. All of your coins are nickels and dimes. The total value of the coins is $1.35. Which system of equations represents this situation?
n+d=17
.05n+.10d=1.35
200
Solve by Equal Values Method:
y=9x-2
y=7x
(1,7)
200
For y < 2x+1 , do we shade above or below the line?
Below the line
200
Is the origin (0,0), a solution to the inequality?
Yes
300
8y-24x=80
y=3x+10
300
Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?
4x + 6y = 13
3x + 7y = 13.5
300
y=-4x
2x-5y=44
(2,-8)
300
Which graph represents the inequality, y < x − 2 ?
300
Which of the following points is a solution,
(0,0) , (-4,-6) , (2,-1) or (0,3) ?
(0,3) is a solution because the line is included.
400
0.3x+0.5y=3.5
y=-3/5x+7
400
The Maplewood Symphony Orchestra sold 146 tickets and collected a total of $1036 in ticket sales. Admission was $5 for children and $8 for adults. Write two equations that would be used to solve the system.
c+a=146
5c+8a=1036
400
Solve the system of equations
-6x-10y=4
6x+10y=0
No solution
400
Write the inequality for the graph.
y >2x + 2
400
Which system of inequalities matches the graph?
a) x> -2 b) x<2 c) x ≥ 2 d) x>2
y < -4 y>4 y ≤ 4 y≤ -4
d) x > 2 and y ≤ -4
500
-5x-2y=-8
y=-5/2x+4
500
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
1.5N+0.5S=78.5
N+S=87
500
Solve by substitution:
y=4x-9
-7x-6y=-39
(3,3)
500
Which points are in the solution set for the inequality, y ≥ 1/5x+1 ?
A, B, and C
500
Identify all solutions for the graph
(2, 3)
(4, -2)
(2, -4)
(-2, 0)
(4, -2) and (2, -4)