Irrational vs. Rational
Is 3.412341234123... a rational number?
Yes, a repeating decimal is rational.
(d3)(d4) = ?
d7
How many solutions are there when you take the square root of a number?
2 -- a positive and negative solution
-2x + 7 = 15
x = -4
Is the equation y = -4x linear? Is it proportional? (2 part question)
Yes to both!
-0.123456789..... is rational. True or False
False, it is non-repeating and non-ending
(k)(k3)/k2
k2
A square has a side length of 8 cm. What is its area?
4(x+4) - 10 = 18
x = 3
What point must a proportional line go through?
The origin/(0,0)
15/23 is rational. True or false?
True, all ratios are rational
(p0g3)/g4
1/g
A cube has a side length of 6 ft. What is the volume?
216 ft3
-(x+5) + 10 = 2x + 35 + 7x
x = -3
What do linear functions have that non-linear functions do not?
SLOPE!!!!!! Constant rate of change
True or false: If a value doesn't end, it is automatically irrational
False, repeating numbers don't end but are rational
j-2(f4)5
f20/j2
A square has an area of 25 inches. What is its volume?
125 in3
-3(x+6) + 10x = 2(3x + 40) - 15
x = 83
4x + 7y = 22
Is the above equation linear?
Yes
Is the cube root of -729 rational or irrational?
Rational, -729 is a perfect cube
(y0d5h2)/d3h6
d2/h4
A cube has a volume of 1 m3. What is the area of one of its faces?
1 m2
4x + 19 + 6x - 5 = 3(x - 7) + 2x - (x + 7)
x = -7
y = 2/x + 9
Is the above equation linear?
No