Irrational Numbers
What is the square root of 196?
14
Solve for x.
x - 3 = -17
-14
Solve for x.
3x - 8 + 2x = 7
x=3
How many solutions will this equation have?
5x - 2 = 3x + 2x - 2
Infinitely Many or All Read Numbers
Name the 4 transformations we are learning about.
Translation, Reflection, Rotation, Dilation
What is the negative square root of 81?
-9
Solve for x.
x/-5 = 3
x = -15
Solve for x.
3(-2x + 1) = 15
How do you know if an equation will have one solution?
If you are able to isolate the variable and find a solution.
See Picture Question #1
Translation and then reflection
Between which two integers will you find the square root of 2?
1 and 2
Solve for x.
2x -7 = -13
x = -3
-9x + 11 = -3x -1
x = 2
How many solutions does this equation have?
5(2x + 2) - 3x = 7x + 2
No solution
Write the following verbal description into algebraic.
Left 4, up 3
(x -4, y + 3)
The square root of 210 is closest to which integer?
14
Solve for x.
25 = -7x -24
x = -7
Solve for x.
4x - 9 - 3 = 6x - 4 + 2x
x = -2
How many solutions will this equation have?
3x - 7 - 3 = 2(4x -1)
One Solution
M( 3, 7) --> M prime ( -2, 4)
Describe the translation.
Left 5, Down 3
9
Solve for x.
3/4x -3 = 15
x = 24
Solve for x.
-2/3(12 + 15x) = 5x + 2
x = -2/3
How many solutions will this equation have?
3/4(8x -1) = 6x - 8 + 7
No Solution
See Picture Question #2
Reflection then rotation