1. Chapter 3 Math Vocabulary

2. Learning Goal
You will understand and use the math vocabulary of chapter 3 to solve problems.

3. Term Each number in the pattern Examples 1, 4, 7, 10, …
You will understand and use the math vocabulary of chapter 3 to solve problems.
Term
3-1
Each number in the pattern
Examples
1, 4, 7, 10, …

4. Conjecture A prediction about what may happen Examples 1, 4, 7, 10, …
You will understand and use the math vocabulary of chapter 3 to solve problems.
Conjecture
3-1
A prediction about what may happen
Examples
1, 4, 7, 10, … 13 16 19

5. Sequence A set of numbers that follow a pattern Examples
You will understand and use the math vocabulary of chapter 3 to solve problems.
Sequence
3-1
A set of numbers that follow a pattern
Examples
1, 2, 4, 8, 16, x2 x2 x2 x2 x2

6. You will understand and use the math vocabulary of chapter 3 to solve problems.
Numerical Expression
3-2
A mathematical phrase with only numbers and operation symbols (+, -, x, /)
Examples
(8+5) – 2
4 x 3 / 6

7. Variable A symbol that can represent one or more numbers Examples
You will understand and use the math vocabulary of chapter 3 to solve problems.
Variable
3-2
A symbol that can represent one or more numbers
Examples
4 b = 20
3 c + 6

8. You will understand and use the math vocabulary of chapter 3 to solve problems.
Algebraic Expression
3-2
A mathematical expression with one or more variables
Example
4 b = 20
3 + c = 24

9. You will understand and use the math vocabulary of chapter 3 to solve problems.
Evaluate
3-2
When you replace the variable with a number in an algebraic expression (solve)
Examples
3 n = 18 n = 6
4 + w = 10 w = 6

10. Equation A mathematical sentences that has an equal sign Examples
You will understand and use the math vocabulary of chapter 3 to solve problems.
Equation
3-4
A mathematical sentences that has an equal sign
Examples
8 + 4 = 3 x 4
10 x 2 = 40 / 2

11. Open Sentence An equation with one or more variables Examples
You will understand and use the math vocabulary of chapter 3 to solve problems.
Open Sentence
3-4
An equation with one or more variables
Examples
X – 4 = 19
11 b = 33

12. You will understand and use the math vocabulary of chapter 3 to solve problems.
Solution
3-4
A solution of an equation is the value (answer) of the variable that makes the equation true
Examples
3 n = 18 n = 6
4 + w = 10 w = 6

13. Inverse Operations Operations that undo each other Examples
You will understand and use the math vocabulary of chapter 3 to solve problems.
Inverse Operations
3-5
Operations that undo each other
Examples
Addition undoes Subtraction
Subtraction undoes Addition
Multiplication undoes Division
Division undoes Multiplication

14. Subtraction Property of Equality
You will understand and use the math vocabulary of chapter 3 to solve problems.
Subtraction Property of Equality
3-5
When you use inverse operations to solve equations
Examples
If you subtract the same value from each side of an equation, the two sides remain equal
Arithmetic x 3 = 6, so 2 x = 6 – 4
Algebra If a = b, then a – c = b – c

15. Addition Property of Equality
You will understand and use the math vocabulary of chapter 3 to solve problems.
Addition Property of Equality
3-6
When you use inverse operations to solve equations
Examples
If you add the same value from each side of an equation, the two sides remain equal
Arithmetic x 3 = 6, so 2 x = 6 + 4
Algebra If a = b, then a + c = b + c

16. Division Property of Equality
You will understand and use the math vocabulary of chapter 3 to solve problems.
Division Property of Equality
3-7
When you use inverse operations to solve equations
Examples
If you divide the same value from each side of an equation, the two sides remain equal
Arithmetic x 2 = 8, so 4 x 2 / 2 = 8 / 2
Algebra If a = b, and c = 0, then a / c = b / c

17. Multiplication Property of Equality
You will understand and use the math vocabulary of chapter 3 to solve problems.
Multiplication Property of Equality
3-7
When you use inverse operations to solve equations
Examples
If you multiply the same value from each side of an equation, the two sides remain equal
Arithmetic / 2 = 3, so 6 / 2 x 2 = 3 x 2
Algebra If a = b, then a x c = b x c