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What is the opposite of a number?
Analyze Relationships A number is k units to the left of 0 on the number line. Describe the location of its opposite. Its opposite is k units to the right of 0 on the number line. 27. Critique Reasoning Roberto says that the opposite of a certain integer is -5. Cindy concludes that the opposite of an integer is always negative.

What is the opposite of an integer?
The opposite of an integer is the integer the same distance from zero on the other side of 0. If the integer is 5, then the opposite is 5. If the integer is 3, then the opposite is 3. For Exercises 1–4, you may want to have students take turns graphing an integer and then have another student graph the integer’s opposite on the number lines.

What is 5 times a number decreased by 7?
5 times a number, decreased by 7 is 13. When a number is subtracted from 8, the result is 10. 9 less than twice a number is 10. The sum of 50 and a number is equal to 6 times that number. 4 times a number increase by 5 exceeds the number by 10. Translate these expressions. Twice a number, increased by 8

Does 0 have its own opposite?
Clarify that left and right is used in the math concept of opposite with negative numbers to the left of 0 and positive numbers to the right. Zero is its own opposite. • Does every integer have an opposite? Explain. Yes, zero is its own opposite. For all other integers, the opposite has a different sign.

[PDF File]Translating English Words Into Algebraic Expressions
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Five is three more than a number 5 = x + 3 The product of 2 times a number is 10 2x = 10 One half a number is 10 x/2 = 10 Five times the sum of x and 2 5(x + 2) Seven is greater than x 7 > x Five times the difference of a number and 4 5(x - 4) Ten subtracted from 10 times a number is that number plus 5 10x - 10 = x + 5 The sum of 5x and 10 is equal

[PDF File]Consecutive Sums
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Theorem: The number of ways a positive integer can be written as a consecutive sum is one fewer than the number of odd factors it has. For example, 9 has three odd factors (i.e., 1, 3, 9) and there are 2 (= 3 – 1) ways a consecutive sum can be written for 9 (i.e., 2 + 3 + 4 and 4 + 5).

[PDF File]Integrated Algebra A - Lancaster High School
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Practice Use mathematical symbols to translate the following verbal phrases into algebraic language: w more than 3 r decreased by 2 The product of 5r and s The sum of t and u, divided by 6 Twice the sum of x and y Five times the sum of a number and 8 _______________________ _______________________

[PDF File]Translating Words into Algebra
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Add, Added to, the sum of, more than, increased by, the total of, plus + Add x to y x + y y added to 7 7+ y The sum of a and b a + b m more than n n + m p increased by 10 p + 10 The total of q and 10 q + 10 9 plus m 9 + m Subtraction Subtract, subtract from, difference, between, less, less than, decreased by, diminished by, take away, reduced by,

[PDF File]TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS
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Equals ( = ) equals Seven less than a number equalsten. x − 7 = 10 is Three times a number isnegative six. 3x = −6 is the same as Eight is the same astwice a number. 8 = 2x yields Twelve added to a number yields five. x + 12 = 5 amounts to Nine less a number amounts totwenty. 9 – x = 20

[PDF File]Mathematics 7 Unit 1: Integers - Nova Scotia
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N06.02 Explain, using concrete materials such as integer tiles and diagrams, that the sum of opposite integers is zero. Illustrate, using a number line, the results of adding or subtracting negative and positive N06.03 integers.

The sum of the opposite of a number and 6 is less than