Math Concept and Vocabulary Check

The set of numbers whose decimal representations are neither terminating nor repeating is called the set of ____________ numbers.

(ab)c

If x represents a rectangle's width and 4x represents its length, the perimeter of the rectangle can be represented by _________________________________________.

2x+2*4x or 2*4x+2x or 10x

For (x+5)(2x+3), the product of the first terms is _________, the product of the outside terms is _________, the product of the inside terms is __________, and the product of the last terms is __________.

2x^2; 3x; 10x; 15

Solving a formula for a variable means rewriting the formula so that the variable is _______________________.

isolated on one side

The notation 2 < 5 means that 2 is to the ___________ of 5 on a number line.

left

Terms that have the same variable factors, such as 7x and 5x, are called ___________ terms.

like

In solving an inequality, if you eliminate the variable and obtain a false statement such as 0>1, the solution set is _________________.

not 0 or empty set

In the rectangular coordinate system, the point of intersection of the horizontal axis and the vertical axis is called the ___________.

origin

If two distinct non vertical lines have the same slope, the lines are ____________.

parallel

Two fractions whose product is 1, such as 2/3 and 3/2, are called ___________ of each other.

reciprocals

The first step in solving 3x-9x+30=15-2x-4 is to _____________________________________.

simplify each side and combine like terms

By replacing x with 60 in 2.5x, we are ____________ 60 for x. The process of finding 2.5x60 is called ___________ 2.5x for x=60.

substituting, evaluating

In order to solve y=mx+b for x, we first _____________________ and then _____________________.

subtract b, divide by m

The addition property of equality lets us add or _______________ the same number on both sides of an equation without changing the equation's _______________.

subtract, solution

The equation 5x+2=17 can be solved by first ______________________ from both sides and then ______________________.

subtracting 2, dividing 5

The equation 7x=5+6x can be solved by _______________________ from both sides.

subtracting 6x

Two angles with measures having a sum of 180 degrees are called _______________.

supplementary

A simplified polynomial that has three terms is called a/an _________________.

trinomial

The graph of the equation x=-2 is a/an ______________ line.

vertical

The first number in an ordered pair such as (3,8) is called the _____________. The second number in such an ordered pair is called the _______________.

x-coordinate; y-coordinate

The point (4,0) lies along a line, so 4 is the ___________________ of that line.

x-intercept

Given the equation Ax+By=C, to find the y-intercept (if there is one), let ______=0 and solve for _________.

x;y

The ordered pair (3,2) is a/an ________________ of the inequality x+y>1 because when 3 is substituted for _______ and 2 is substituted for ______, the true statement _________ is obtained.

x;y;5>1

In order to graph equations of the form Ax+By=C using the slope and y-intercept, we begin by solving the equation for _________.

y

The slope-intercept form of the equation of a line is _____________________, where m represents the ____________ and b represents the ___________________.

y=mx+b; slope; y-intercept

The solution set of x<5 can be expressed in interval notation as _______.

(-infinity,5)

The slope of the line whose equation is y=-4x+3 is _________. The slope of any line parallel to y=-4x+3 is _________.

-4;-4

The quotient of 0 and a negative number is ______________.

0

The slope of a horizontal line is _________.

0

The sum of the measures of the three angles of any triangle is __________.

180 degrees

To perform the division __________________________, divide each term of _________________________ by __________.

20x^8-10x^4+6x^3/ 2x^3; 20x^8-10x^4+6x^3; 2x^3

The number 3 2/5 can be converted to 17/5 by multiplying ____________ and ____________, adding __________, and placing the result over ___________.

3 and 5, 2, 5

If x represents a number, six subtracted from four times the number can be represented by _____________.

4x-6

To multiply (4x+7)(x^2+8x+3), begin by multiplying each term of x^2+8x+3 by ___________. Then multiply each term of x^2+8x+3 by _________. Then combine __________ terms.

4x; 7; like

The coefficient of the monomial ax^n x y^m is ________ and the degree is ____________.

A; n+m

(A+B)^2= __________________. The square of a binomial sum is the first term ____________ plus 2 times the __________________________________ plus the last term.

A^2+2AB+B^2; squared; product of the terms

True or False: The monomials 7xy^2 and 2x^2 x y can be added. _____________

False

True or False: (x+5)(x-5)= x^2-25._____________

True

True or False: 1/5^-2=5^2. ______________.

True

True or False: 4^-2= 1/4^2.

True

True or False: The graph of the linear equation 2x-3y=6 is used to graph the linear 2x-3y>6. ___________________.

True

The volume, V, of a rectangular solid with length l, width w, and height h is given by the formula ____________.

V=lwh

A positive number is written in scientific notation when it is expressed in the form a x 10^n, where a is _______________________________________________________________ and n is a/an ______________.

a number greater than or equal to 1 and less than 10; integer

The products-to-powers for exponents states that (ab)^n= ___________. When a product is raised to a power, raise each, _____________ to the power.

a^n x b^n; factor

If a and b are real numbers, the commutative property of multiplication states that _____________ =ba.

ab

The negative multiplication property of inequality states that if a<b and c is negative, then __________.

ac>bc

Pairs of real numbers that are the same number of units from zero on the number line, but are on opposite sides of zero, are called opposites or ______________

additive inverses

The product rule for exponents states that b^m x b^n= ___________. When multiplying exponential expressions with the same base, ___________ the exponents.

b^m+n; add

In the expression b^n, b is called the ___________ and n is called the _____________.

base, exponent

To simplify the expression 36-24/4*3, first ____________________.

divide

Consider the following division problem: 20x^6 y^4/ 10x^2 y= 2x^4 x y^3 The polynomial in the numerator, 20x^6y^4, is called the _______________. The polynomial in the denominator, 10x^2y, is called the ____________. The answer to the problem, 2x^4y^3, is called the __________________.

dividend; divisor; quotient

A statement that expresses a relationship between two or more variables, such as T=0.3x+40, is called a/an ___________. The process of finding such statements to describe real-world phenomena is called mathematical ____________. Such statements, together with the meaning assigned to the variables, are called mathematical _____________.

formula, modeling, models

The degree of a polynomial is the ____________ degree of all the terms of the polynomial.

greatest

The graph of y=3 is a/an _________________ line.

horizontal

The set {...,-4,-3,-2,-1, 0, 1, 2, 3, 4,...} is called the set of ___________.

integers

The set {1,2,3,4,5,...} is called the set of _________ numbers.

like

The equation x/7=13 can be solved by ___________________ both sides by ____________.

multiplying, 7

The product off three negative numbers is a/an ______________ number.

negative

If a line rises from left to right, the line has __________ slope.

positive

Among the numbers 1,2,3,4,5,..., a number greater than 1 that has only itself and 1 as factors is called a/an ______________ number.

prime

The process of finding the number or numbers that make an equation a true statement is called _______________ the equation.

solving

A polynomial is a single term of the sum of two or more terms containing variables with exponents that are _________ numbers.

whole

A linear equation that is true for all real numbers is called a/an ___________________.

identity