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**Chapter 3 Math Vocabulary**

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

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**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, …

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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**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

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