Chapter 3 Math Vocabulary

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

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, …

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

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, 32 x2 x2 x2 x2 x2

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

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

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

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

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

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

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

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

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 2 x 3 = 6, so 2 x 3 - 4 = 6 – 4 Algebra If a = b, then a – c = b – c

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 2 x 3 = 6, so 2 x 3 + 4 = 6 + 4 Algebra If a = b, then a + c = b + c

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 4 x 2 = 8, so 4 x 2 / 2 = 8 / 2 Algebra If a = b, and c = 0, then a / c = b / c

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 6 / 2 = 3, so 6 / 2 x 2 = 3 x 2 Algebra If a = b, then a x c = b x c