Rational vs. Irrational
Order of Operations
Adding/Subtracting Polynomials
Multiplying Polynomials 1
Multiplying Polynomials 2
100
Is 0.67676767 a rational or irrational number?
Rational
100
Simplify: (-4)2 + 32(4)
144
100
Simplify:
3x2 + 5x - 2 + (4x2 - 6x - 8)
7x2 - x - 10
100
Simplify:
(x + 4)(x + 4)
x2 + 8x +16
100
Simplify:
(a2+ 5)2
a4+10a2+25
200
The sum of an irrational and rational number is always rational or is always irrational?
Always Irrational
200
Simplify: (-5)2 - 52 + 6(2)
-15
200
Find the sum of x2 +3x - 5 and -3x2 - 4x +20
-2x2 - x + 15
200
Simplify:
(2x + 3)(3x + 4)
6x2 + 17x + 12
200
Simplify:
(3b2 - 4)2
9b4 - 24b2 +16
300
Is
sqrt49/14
a rational or irrational number?
Rational
300
-13
300
Find the difference between:
-x2 + 4x - 7 and 8x2 + 6x - 4
-9x2 - 2x - 3
300
Simplify:
(3x + 5)2
9x2 + 30x +25
300
Simplify:
(x - 5)(4x2 - 7x + 10)
4x3 - 27x2 + 45x - 50
400
When talking about humans, what would be the best measure? Irrational numbers, rational numbers, integers, or whole numbers?
Whole numbers
400
15
400
Subtract -3x2 +5x - 6 from 4x2 + 7x + 17.
7x2 + 2x + 23
400
Simplify and give in standard form:
(2m - 5)2
4m2 - 20m + 25
400
Simplify:
(x+3)(x+4)(x+2)
x3 + 9x2 + 26x + 24
500
Is the product of
sqrt169
and 15 a rational or irrational number? Explain.
Rational number because the product can be written as a fraction.
500
Solve when x = 2
(x^2/4 + 4x - 3)/(4 + x^3)
1/2
500
-3x2 - 18x + 19
500
Simplify:
(a + 5)(2a2 + 3a - 6)
2a3 + 13a2 + 9a - 30
500
Simplify:
(2x - 5)(x + 3)(3x - 1)
6x3 + x2 - 46x + 15