Combo with "Algebra I - Unit 1: Foundations of Algebra Quiz 3: Properties of the Real Numbers" and 1 other
What are terms separated by?
+ or -
What is the additive inverse of 1/2?
- 1/2
Simplify 3x + (-12x) - 5x.
-14x
Simplify (5b)(-3a).
-15ab
What is the multiplicative inverse of 1/2?
-2
Simplify -2[9 - (x + 7)].
-4 + 2x
Simplify -4(N + 9).
-4N - 36
Simplify -12x + 5x.
-7x
Simplify -3 xy to the 3rd power + 7 xy to the 3rd power + (- xy to the 3rd power ) + (-3 xy to the 3rd power ).
0
Match each step with the property used to get to that step. (Note: The steps in the left column are listed in the correct order needed to simplify the expression.) (6x + 3) - 5x 1. commutative 2. distributive 3. associative 4. subtraction 5. multiplicative identity
1. (3 + 6x) - 5x 2. 3 + (6 - 5)x 3. 3 + (6x - 5x) 4. 3 + (1)x 5. 3 + x
Simplify 11(2x + 3).
22x + 33
Simplify 8(3 - 2x).
24 - 16x
Select all of the terms that are "like."
2xy -xy 1/2xy
Simplify 2x + x.
3x
Simplify 3x + 3 + 2.
3x + 5
How many terms are in the expression 5m to the 2nd power - mn + 4n + 7?
4
Simplify and determine the coefficient of (-2/3x)(3y)(-2x).
4
Simplify 4 n to the 5th power + 3.5 n to the 5th power + (-2.1 n to the 5th power ).
5.4 n to the 5th power
Simplify 6(x + 2) + 7.
6x + 19
Which of the following expressions is equal to 5 - 2m?
7 - 2(m + 1)
Simplify 81.56 + n - 2.55.
79.01 + n
Simplify 6(x + y) + (x - y).
7x + 5y
Simplify 5x + 4x + 1.
9x + 1
Simplify (ab)(ab)(ab)(ab).
A to the 4th power, B to the 4th power
What is the order of operations?
PEMDAS- Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction
Define variable.
a letter or symbol used to represent an unknown
Define algebraic expression.
a mathematical expression containing one or more variables
Define expression.
a mathematical phrase that cannot be determined true or false
What is algebra?
a method used to solve for unknown quantities
Define natural number.
a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on
Define integer.
a number belonging to the set made up of the whole numbers and their opposites
Define whole number.
a number belonging to the set made up of zero and the natural numbers
Define term.
a number or a variable, or an indicated product of a number and variable(s)
Define rational number.
a number that can be written as a ratio of two integers in the form A/B with B ≠ 0
Define irrational number.
a number with an infinite decimal representation that does not repeat
Define constant.
a number; a term containing no variables
Define associative property.
a property of the real numbers which states that how numbers are grouped in a sum or product does not change the value
Define commutative property.
a property of the real numbers which states that the order in which numbers are added or multiplied does not change the value
Define distributive property.
a(b + c) = ab + ac, or a(b - c) = ab - ac
A natural number is always/sometimes/never a rational number.
always
A negative number raised to an odd power is always/sometimes/never negative.
always
Whole numbers are always/sometimes/never integers.
always
Expressions are -------- ------------.
incomplete sentences
What sets of numbers does 0 belong to?
integers, rational, and whole
What mathematical terms mean 'opposite of'?
negative, additive inverse, and minus
Irrational numbers are always/sometimes/never integers.
never
Does an algebraic expression have a definite value?
no
Are subtraction/division operations commutative? What about multiplication/addition?
no, yes
Define substitution.
replacing a quantity with its equal
Rational numbers are always/sometimes/never integers.
sometimes
Define like terms.
terms that have the same variable(s), with each variable raised to the same exponent
Define exponent.
the (superscript) number in an exponential expression; it tells how many times a factor is repeated
Define coefficient.
the constant preceding the variables in a product
Another names for the natural numbers are?
the counting numbers
Define additive identity.
the number 0 (for the real numbers)
Define multiplicative identity.
the number 1 (for the real numbers)
Define base.
the number which is repeated as a factor in an exponential expression
Define additive inverse.
the opposite or negative of a number; the sum of a number and its additive inverse is zero
What is the number line a graph of?
the real numbers
Define multiplicative inverse.
the reciprocal of a number; if x is a number other than zero, then 1/x is the multiplicative inverse; the product of a number and its multiplicative inverse is 1
Define evaluate.
to find the numerical value of
Distance is never negative. True or False?
true
Integers are a subset of Rational Numbers. True or False?
true
Integers contain the whole numbers. True or False?
true
The product of twenty-one negative integers is negative. True or False?
true
Variables possess real number properties. True or False?
true
What is the only number that does not have a multiplicative inverse?
zero