Unit 6 VocabularyBy: 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 + 2Example: 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=2Both of the equations have 2 for the solution.Example: 8 – z = 5 and 19 – z = 16 z=3Both 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 integerExample: 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