Unit 6 Vocabulary
By: Claire Riddell
Constant Term
• A constant term is a large amount that stays the same and
does not change.
Division of fractions property
• A fact that says, when you divide a fraction, it is equivalent to
the reciprocal of the fraction, that is multiplied.
Equation
A number sentence that has an equal sign in it.
Example: 5 = 3 + 2
Example: 14 = 7 + 7
Equivalent Equations
• Different equations that have the exact same solution to the
problem.
• Example: 5 + y = 7 and 6 + y = 8
y=2
Both of the equations have 2 for the solution.
Example: 8 – z = 5 and 19 – z = 16
z=3
Both of the equations have 3 for the solution.
Inequality
• A sentence that uses the ≤, ≥, >, <, = or ≠
• Example: 45 > 31
• Example: 5 < 23
Integers
• An integer is a number or a negative number that is in the set
of, (-4, -3, -2, -1, 0, 1, 2, 3, 4)
Example: -3 is an integer
Example: 0 is an integer
Multiplication property of -1
• A property that is in multiplication, that says, z (-1) that is
multiplied by z, equals the opposite of z.
• Example: 5 * (-1) = -5
• Example: 3 * (-1) = -3
Nested parentheses
• Nested parentheses is a set of parentheses in one set, inside
another set of parentheses.
• Example: ((5*2) + 1)
• Example: ((8 + 4) * 1 + 9)
Open sentence
• A sentence which is not true, and not false because one or
more variables, takes the place of the missing numbers.
• Example: 9 + a = 12
• Example: 3 + z = 10
Opposite of a number
• An opposite of a number can be a positive or a negative
number, depending on the number.
• Example: The opposite of 5, would be -5
• Example: The opposite of -1, would be 1
Order of operations
• Rules that show how to do operations, in order.
• Example: The first rule is, always do the numbers with
parentheses first.
• Example: The third rule is, divide or multiply, from left to right.
Reciprocal
• Also is called multiplicative inverse. Two fractions or numbers,
which there product is one.
• Example: the Reciprocal of 5/6 is 6/5
• Example: The Reciprocal of 1/3 is 3/1
Relation symbol
• A symbol that shows relationship between two amounts.
• Example: = means its equal to a number.
• Example: > means its greater than a number.
Repeating Decimals
• A repeating decimal is a decimal, when multiplied or divided,
equals to a decimal that keeps repeating itself.
• Example: .3333333 is a repeating decimal.
• Example: .888888888 is a repeating decimal.
Solution
• A part in a number model that makes the model true.
• Example: 2 + z = 10. 8 is the solution to this set
• Example: 5 + a = 7. 2 is the solution to this set
Solution Sets
• A set of all the solutions of an equation.
• Example: The solution set of X₂ = 64 is 8
• Example: The solution set of A₃ = 8 is 2
Terminating decimals
• A decimal that always ends.
• Example: 0.2 is a terminating decimal
• Example: 0.12 is a terminating decimal
Trial and error Method
• Trial and error method is a method that teaches you
from your mistakes, as you try again and again until you
get the problem right.
• Example: Timmy tried the equation (((2 * 5) +8) /2) = Z At
first, Timmy thought the answer was 40, then 1 because
he multiplied or divided it wrong. Then Timmy saw it
clearly, and figured out that the answer was 9.
• Example: Alec had to do an equation: (5 to the power of
3) +5 = A First, he thought the answer was 20, because
he did (5 * 3) + 5 = 20 instead of 5 to the power of 3. He
kept trying 3 more times, then figured out the mistake
and found out the answer was really 130.
Variable
• A variable is a letter that can substitute a number in a number
sentence or an equation.
• Example: 2 * A = 8
• Example: 5 + Z = 7