1. Unit 6 Vocabulary
By: Claire Riddell

2. Constant Term
A constant term is a large amount that stays the same and does not change.

3. 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.

4. Equation
A number sentence that has an equal sign in it. Example: 5 = Example: 14 = 7 + 7

5. Equivalent Equations
Different equations that have the exact same solution to the problem.
Example: 5 + y = 7 and 6 + y = y=2
Both of the equations have 2 for the solution.
Example: 8 – z = 5 and 19 – z = z=3
Both of the equations have 3 for the solution.

6. Inequality A sentence that uses the ≤, ≥, >, <, = or ≠
Example: 45 > 31
Example: 5 < 23

7. 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

8. 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

9. 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)

10. 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

11. 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

12. 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.

13. 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

14. Relation symbol A symbol that shows relationship between two amounts.
Example: = means its equal to a number.
Example: > means its greater than a number.

15. Repeating Decimals
A repeating decimal is a decimal, when multiplied or divided, equals to a decimal that keeps repeating itself.
Example: is a repeating decimal.
Example: is a repeating decimal.

16. Solution A part in a number model that makes the model true.
Example: 2 + z = is the solution to this set
Example: 5 + a = 7. 2 is the solution to this set

17. 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

18. Terminating decimals A decimal that always ends.
Example: 0.2 is a terminating decimal
Example: 0.12 is a terminating decimal

19. 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.

20. 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