Algebraic Expression and Real Numbers
Evaluate
(2x+3y)/(x+1), x=-2 and y = 4
What is
-8
?
Simplify:
(-3x^4y^6)^3
What is
-27x^12y^18
?Evaluate:
sqrt(25-16)
What is 3?
Perform the indicated operations and state the degree:
(5x^2-7x-8)+(2x^2-3x+7)-(x^2-4x-3)
What is
6x^2-6x+2
and with 2?Factor completely:
x^2-2x-15
What is
(x-5)(x+3)
?Evaluate
x^2-3(x-y), x=8 and y=2
What is 46?
Simplify:
(11x^5)(9x^12)
What is
99x^17
?Use the product rule to simplify the expression:
sqrt(2x^2)*sqrt(6x)
What is
2xsqrt(3x)
?Find the product:
(8x^3+3)(x^2-5)
What is
8x^5-40x^3+3x^2-15
?Factor completely:
6x^2-11x+4
What is
(3x-4)(2x-1)
?List all numbers from the given set that are rational numbers:
-9, -4/5, 0, 0.3, sqrt3, pi, sqrt49
What is
-9, -4/5, 0, 0.3, sqrt49
?
Simplify:
((-15a^4b^2)/(5a^10b^-3))^3
What is
(-27b^15)/a^18
?
Use the quotient rule to simplify:
(sqrt(200x^3))/(sqrt(10x^-1))
What is
2x^2sqrt5
?Find the product:
(3x+2)^2
What is
9x^2+12x+4
?Factor completely:
9x^2-25y^2
What is
(3x+5y)(3x-5y)
?Determine whether the given statement is true or false:
sqrt5 <= sqrt5
What is true?
Multiply:
(3xx10^4)(2.1xx10^-8)
What is
6.3xx10^-4
?
Rationalize the denominator:
7/(sqrt5-2
What is
7sqrt5+14
?Find the product:
(x-2)^3
What is
x^3-6x^2+12x-8
?Factor completely:
4x^2+4x+1
What is
(2x+1)^2
or
(2x+1)(2x+1)
?Evaluate:
(|x|-|y|)/(x-y), x=2 and y=-5
What is
-3/7
?Divide:
(8.4xx10^-2)/(4xx10^6)
What is
2.1xx10^-8
?
Simplify using properties of exponents:
(125x^9y^6)^(1/3)
What is
5x^3y^2
?Find the product:
(1-y^5)(1+y^5)
What is
1-y^10
?Factor completely:
64x^3+27y^3
What is
(4x+3y)(16x^2-12xy+9y^2)
?