Rational vs. Irrational
Evaluate:
-4.5 + 2
= -2.5
The following are inputs to a linear rule and the corresponding outputs. Determine the rule
input of 1 - output of 3
input of 2 - output of 5
input of 3 - output of 7
multiply by 2, add 1
Solve the following equation:
x - 1 = 10
x = 11
Identify both the BASE and the EXPONENT in the following power:
(-2)5
BASE: -2
EXPONENT: 5
Simplify the following:
2x+3x
=5x
Evaluate:
3/4 - (-1/5)
= 19/20
Draw an example of what a linear relation looks like as a graph
- see Mrs. Anderson
Solve the following equation:
3x=21
x = 7
34 x 3-1
= 33
Simplify the following:
-2(3x+5y-6z)
= -6x -10y +12z
Estimate, to one decimal place, the value of the square root of 10
~3.1 to 3.3
The following are inputs and outputs to a linear rule. Determine the rule:
Input of -2 - output of 2
Input of -1 - output of -1
Input of 0 - output of -4
Input of 1 - output of -7
multiply by -3 and subtract 4
Solve the follwoing equation:
x/4=-12
x = -48
Evaluate the following expression:
-32
= -9
Simplify the following:
3x2y - 2x2 + 5x2y +x2y - 6y2
= 9x2y - 2x2 -6y2
Estimate the value of the square root of 190.
~13.5 to 13.9
Ex:
..., (0, 5), (1, 3), (2, 1), (3, -1), (4, -3), ....
Solve the following equation:
2x+3=91
x = 44
Evaluate the following expression:
(22)3
=64
Simplify:
3x3y4(-6x + 5y5 - x3y)
= -18x4y4 +15x3y9 -3x6y5
Give an example of an irrational number.
Ex: pi, the golden ratio, a never-ending and non-repeating decimal, the square root of a non-square number, ...
Draw a line that represents the equation y=3x-1
See Mrs. Anderson
Solve the following equation:
x-7=4x-1
x = -2
Are the following expressions equal to each other?
-53 AND (-5)3
yes - they are both equal to -125
(x+2)(x-8)
=x2 -6x -16