Vocab
What do you call the answer to a multiplication problem?
Product
Simplify
4(3+2) - 5(6-3)
5
Evaluate
x-xy if x = -2 and y = 3
4
a + b = b + a
Find the greatest common factor of
4x^2y^3z-8y^2xz^3
4xy^2z
What is another word for multiplicative inverse?
Reciprocal
Simplify by adding like terms
3x-x-y+5-2y-3x-10-8y
-x-11y-5
Solve
4/m = 21/5
m = 20/21
What is the distributive property?
a(b+c)=ab+ac
Factor the greatest common factor of
2ax+2ac
2a(x+c)
What is the definition of perimeter?
The measure around a figure
Simplify by adding like terms
2x^2y+3yx^2+x^2y^2-x^2y-4x^2y^2
4x^2y-3x^2y^2
Add
4/7 + 1/8 + 1/2
67/56
What is the product rule for exponents?
x^n * x^m = x^(m+n
Simplify (factor if necessary)
(9x^2-3x)/(3x)
3x-1
What is a prime number?
A prime number is a whole number greater than 1 whose only factors are 1 and the number itself
Simplify
-3^3 - (-3)^2 + (-2)^2
-32
If x- 5 = 7, what is the value of x + 4?
16
What is the trichotomy axiom?
For any two numbers a and b,
a<b, a=b, or a>b
Find the least common multiple of 14, 20, and 30
420
For the following set of numbers, please find the range, median, mode, and mean
86, 93, 60, 66, 95, 83, 85, 78
Range: 35
Median: 84
No Mode
Mean: 80.75
Simplify. Write the answers with all variables in the numerator.
(m^4p^3z^10d)/(m^-2p^4z^-6d^-2
m^6p^-1z^16d^3
Add
a/c^2+3/(4c^3)+m/(3c^4)
(12ac^2+9c+4m)/(12c^4)
What is the quotient rule for exponents?
x^m/x^n=x^(m-n)
Factor the greatest common factor of
4x^2y^5p^2-3x^5y^4p^2
x^2y^4p^2(4y-3x^3)