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Chapter 3 Math Vocabulary. Learning Goal. You will understand and use the math vocabulary of chapter 3 to solve problems. 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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Learning Goal • You will understand and use the math vocabulary of chapter 3 to solve problems.
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, …
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
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
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
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
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
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
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
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
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
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 /2x2= 3 x2 Algebra If a = b, then a x c = b x c