Irrational and Rational Numbers
Square root of 32
Irrational
Because it does not end and does not have a pattern.
5x2 - 9 when x = -2
11
-2-2y-1-2xy
-2xy-2y-3
14x+1= 10x-19
x = -5
Expand 2x4
2x times x times x times x
-5.68686868...
Rational- there's a pattern
10w+10x when w=8 and x=6?
140
-2y+2x2-x-x
2x2-2x-2y
9x+7 = 5x+ 31
x = 6
Expand (2x)4
2x times 2x times 2x times 2x
Square root of 70
Irrational
Because it does not end and does not have a pattern.
3z2 - 4z + 10 when z= 6
94
2.4h + 5.5 + 8.3h + 8.8
10.7h+14.3
-5(2x-2) + 5x + 1 = -14
x=5
At the beginning of a snowstorm, Kadeesha had 8 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. How much snow would Kadeesha have on her lawn after t hours of snow falling?
8 + 0.5t
0.245256244555...
Irrational.
It does not repeat and does not end.
3y2 - 4y + 8 when y = -3
47
A triangle has sides (5n + 3p), (9n+8q), and (6q+9p). What expression represents the perimeter?
12p + 14q+ 14n
x = -5
Emily is taking a multiple choice test with a total of 20 points available. Each question is worth exactly 2 point. What would be Emily's test score (out of 20) if she got 4 questions wrong? What would be her score if she got x questions wrong?
20-2x
20-2(4) = 12 points
8.9996
Rational. The number terminates (ends).
-(-2x)5 when x = -2
-1024
The width of rectangle is (9b-8c) and the length is (7b+6c). What is the expression for the perimeter?
32b-4c
-2/5 - (-2x+1) = 1/5
x = 4/5
Leah is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $1.75 per mile driven. How much would a taxi ride cost if Leah is riding for 5 miles? How much would a taxi ride cost that is m miles long?
2 + 1.75m
2+1.75(5)=$10.75