Linear Setup
Simplify the following expression
7(2x + 3) - 6
Best Answer:
14x + 15
Define Solution
Value for the variable that makes the equation true
Add the following equations
4x - 7y=42
9x + 7y=-16
13x=26
(Bonus Knowledge: x=2)
Solve for y
2x + 5y=20
-2x + 3y=-4
8y=16
y=2
True or False: (-4, 4) is the solution to...
–2x + y=12
–2x − y=4
TRUE!!
Simplify the following expression
4y + 3(8x - y) + 2y
Best Answer:
24x + 3y
Evaluate when x=3
8(x - 2) + 4x
20
Subtract the following equations
14x + 3y=28
14x + 11y=-12
-8y=40
(Bonus Knowledge: y=-5)
Bonus Question (300): What is the goal when adding/subtracting equations?
Solve for y, use the system below and x=5
9x + 5y=–5
6x + 5y=–20
y=-10
True or False: (0, -4) is the solution to...
4x + 5y=–20
9x + 5y=5
FALSE!!
Evaluate the expression when x=-3
3x + 14
5
Solve for x
7x + 8=22
x=2
Combine the equations to eliminate a variable
9x + 5y=46
4x +5y=31
5x=15
(Bonus Knowledge: x=3)
Solve for x, use the system below and y=-9
10x + 10y=10
10x + 9y=19
x=10
Which of the following is the solution to...
9x + 5y=2
–9x − 7y=8
A. (-1, 3) B. (3, -5) C. (0, 2)
B. (3, -5)
Evaluate the expression when x=12
3(x + 4) - 2x
24
Solve for y when x=2
y=40x + 25
y=105
Combine the equations to eliminate a variable
8x + 7y=-22
-8x + 3y=22
10y=0
(Bonus Knowledge: y=0)
Bonus Question (400): How do we know when to add or subtract the equations?
Solve for y, use the system below and x=-1
3x − 2y=1
3x + 7y=–17
y=-2
Which of the following is the solution to...
10x − 2y=–8
10x − y=1
A. (0, 4) B. (-2, -6) C. (1, 9)
C. (1, 9)
Bonus Points (400): A line represents all of the solutions to an equation. What does the solution to a system represent?
Evaluate the expression when x=2 and y=5
3(x + y) - 4y + 7
8
Solve for x when y=4
3x - 3y=15
x=9
Combine the equations to eliminate a variable
x + y=18
x - y=14
2x=32
2y=4
(Bonus Knowledge: x=16, y=2)
Solve for x, use the system below and y=-1
6x − 6y=–12
6x − y=–17
x=-3
DOUBLE POINTS!!! Find the solution
–4x − 10y=12
4x + 6y=–20
(-8, 2)