math ra questions for r.1-r.7 test
if Z us the set of integers, W is the set of whole numbers, and N is the set of natural numbers, then which of the following is true?
NcWcZ
which of the following statements is true? r.6
it is possible to factor a trinomial with a leading coefficient not equal to one using a trial and error method
which of the following is NOT a special product formula?
(a + b)^2 = a^2 + b^2
if b > 0 and m/n is a rational number such that m is not equal to 0 and n is not equal to 0, then which of the following is NOT a valid relationship?
(b)^-m/n = the negative n square root of b to the m
using the order of operations, which of the following expressions is equivalent to the expression -3^2 x 2 - 8 x 4 - 5?
-18 - 32 - 5
which of the following expressions if NOT equivalent to (27x)^-1/3?
-3x^-1/3
which of the following expressions is NOT a monomial?
1/x
which of the following polynomials is NOT factorable using a special factoring formula and integer constants?
16 + (x-1)^2
which of the following is an example of a prime polynomial? r.6
2x^2 + 4x + 3
which of the following CANNOT factored by grouping?
2x^2y - 5y - 6x^3y -15xy
which of the following expressions is the GCF of the polynomial 12x^3y^5 - 8x^2y^3 + 24x^5y^4?
4x^2y^3
which of the following statements is NOT true about a polynomial?
a polynomial must have a least two terms
which of the following statements best describes a rational expression? r.7
a rational expression is the quotient of two polynomials such that the degree of the polynomial in the denominator is greater than or equal to 1.
if b is not equal to 0, which of the following is NOT a law of exponent?
b^-m = -b^m
which of the following statements describes how to divide two rational expressions?
divide two rational expressions by multiplying the first rational expression by the reciprocal of the second rational expression.
when using long division to divide 2 polynomials, which of the following equations can be used to verify the long division process?
dividend = (divisor)(quotient) + divisor
what is true?
every whole number is a rational number
which of the following statements describes the commutative property?
if a and b are real numbers, then ab=ba
which of the following statements describes the distributive property?
if a, b, and c are real numbers, then a(b+c) = ab + ac
which of the following statements describes the associative property?
if a, b. and c are real numbers, then a + (b+c) = (a+b) + c
for any integer greater than or equal to 2, the principal nth root of a real number b is defined as n to the sqaure root of b = a if and only if a^n = b. given this defintion, which of the following is NOT true?
if n is even and b < 0, then a < 0
to rationalize a denominator with two terms involving one or more square roots, __________________.
multiply the numerator and denominator by the conjugate of the denominator
which of the following statements describes how to multiply two rational expressions? r.7
multiply two rational expressions by multiplying the two numerators together and multiplying the two denominators together.
rationalizing a denominator with one term requires _________________.
multiplying the numerator and denominator by a radical of index n so that the radicand in the denominator is a perfect nth power
which is NOT true?
parenthesis ( ) are typically used to enclose all elements of a set
which of the following methods is not used correctly for multiplying two radical expressions? assume that x is greater than or equal to 0.
square of binomial: (4x - the square root of 10)^2 = 4x^2 - 8x the sqaure root of 10 + 10
which is NOT a rational number?
square root of 3 over 2
given the expressions -2^4, which of the following statements is true?
the base of the expression is 2 and the expression is equivalent to -16
what describes the absolute value to a number b?
the distance from b to 0 on a number line can be represented by the absolute value of a number b
which best describes the expression, 1 - 7/ x + 5/ 11 + 3/ x + 5?
the expression is called a complex rational expression.
which of the following statements is NOT true? r.3
the expression sqaure root of 108 is equivalent to the square root of -9 multiplied by the square root of -12
which of the following statements is NOT true? r.4
the product of two binomials (with all nonzero terms) written in standard forms is always a trinomial
which of the following conditions is required for two radicals to be like radicals?
the two radicals must have the same index and the same radicand
to add two like radicals, __________________.
use the distributive property
which of the following expressions is equivalent to x^3 + 1/ x + 1 for all x not equal to -1?
x^2 - x + 1