Quadratic
Choose a strategy to solve the following for x:
(2x + 3)(10x - 5) = 0
x = -1.5 and 0.5
Solve for x:
3x = 32x-8
x = 8
When a variable is multiplied by a number, we can __ both sides by that number to isolate the variable.
divide
Solve for x:
(x/2) + (3/2) = (6/2)
x = 3
How many solutions does 3x2 - 4x + 4 = 0 have?
No real solutions
Choose a strategy to solve the following for x:
x2 - 4x - 12 = 0
x = -2 and 6
Solve for x:
80.5x = 87
x = 14
How can we check to see if we got the right solution to an equation?
Substitute the x value back into the original equation and see if you get a true statement.
Solve for x:
(x/4) + (7/2) = 6
x = 10
How many solutions does x2 - 14x + 49 = 0 have?
One
Choose a strategy to solve the following for x:
3x2 - 9x - 54 = 0
x = 6 and -3
Solve for x:
230 = 64x-1
x = 6
Describe a correct way to solve the equation. There might be multiple correct strategies.
3x + 5 = 17.
1. Subtract 5 from both sides
2. Divide both sides by 3
x = 4
Solve for x:
(5x/3) - (x/9) = (-84/18)
30x-2x=-84
x = -3
How many solutions does (x+4)2 = 32 have?
Choose a strategy to solve the following for x:
20x2 - 3x - 2 = 0
x = -0.25 and 0.4
Solve for x:
73 = 3433x+1
x = 0
Describe how to solve the equation using the undoing method. Write down the correct answer.
5(x - 4) = 15
1. Divide both sides by 5 first.
2. Then solve x - 4 = 3
x = 7
Solve for x:
(6/2x) - (8/x) = 5
x = -1
How many solutions does (x+2)2 = -122 have?
No real solutions
Choose a strategy to solve the following for x:
50000x2 - 200000 = 0
x = 2 and -2
Solve for x:
556 = 625x+4
x = 10
Describe how to solve the equation using the looking inside method. Write down the correct answer.
5(x - 8) = 15
Since 5 times 3 is 15, x - 8 must equal 3.
Therefore, x = 11
Solve for x:
6(0.5x + 3.5) = 9
x = -4
Describe why we plug into b2 - 4ac when trying to figure out how many solutions a quadratic has.
Answers may vary