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Over Lesson 1–2 5-Minute Check 1 A.naturals (N), wholes (W), integers (Z) B.wholes (W), integers (Z), reals (R) C.naturals (N), wholes (W), rationals (Q), reals (R) D.naturals (N), wholes (W), integers (Z), rationals (Q), reals (R)
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Over Lesson 1–2 5-Minute Check 2 A.naturals (N), wholes (W) B.reals (R) C.rationals (Q), reals (R) D.integers (Z), reals (R)
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Over Lesson 1–2 5-Minute Check 3 A.Associative Property of Addition B.Distributive Property C.Substitution Property D.Commutative Property of Addition Name the property illustrated by a + (7 + c) = (a + 7) + c.
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Over Lesson 1–2 5-Minute Check 4 A.Associative Property of Addition B.Identity Property C.Distributive Property D.Substitution Property Name the property illustrated by 3(4 + 0.2) = 3(4) + 3(.02).
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Over Lesson 1–2 5-Minute Check 5 A.3c 2 + 5cd + c B.3c 2 + 11cd + c C.3c 2 + 10cd D.3c 2 + c Simplify (2c)(3d) + c + 5cd + 3c 2.
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Over Lesson 1–2 5-Minute Check 6 Which equation illustrates the Additive Identity Property? A.5 + 0 = 5 B.5(1) = 5 C.5 + (–5) = 0 D.
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Then/Now Can you translate verbal expressions into algebraic expressions & equations? Can you solve equations using the properties of equality?
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Example 1 Verbal to Algebraic Expression A. Write an algebraic expression to represent the verbal expression 7 less than a number. Answer: n – 7
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Example 1 Verbal to Algebraic Expression B. Write an algebraic expression to represent the verbal expression the square of a number decreased by the product of 5 and the number. Answer: x 2 – 5x
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Example 1a A.6x B.x + 6 C.x 6 D.x – 6 A. Write an algebraic expression to represent the verbal expression 6 more than a number.
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Example 1b A.x 3 – 2 B.2x 3 C.x 2 – 2 D.2 + x 3 B. Write an algebraic expression to represent the verbal expression 2 less than the cube of a number.
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Example 2 Algebraic to Verbal Sentence A. Write a verbal sentence to represent 6 = –5 + x. Answer: Six is equal to –5 plus a number.
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Example 2 Algebraic to Verbal Sentence B. Write a verbal sentence to represent 7y – 2 = 19. Answer: Seven times a number minus 2 is 19.
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Example 2a A.The difference of a number and 3 is 7. B.The sum of a number and 3 is 7. C.The difference of 3 and a number is 7. D.The difference of a number and 7 is 3. A. What is a verbal sentence that represents the equation n – 3 = 7?
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Concept
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Example 5 What is the solution to 25 = 3(2x + 2) – 5(2x + 1)? A.–6 B. C. D.6
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Example 6 Solve for a Variable Surface area formula Subtract πr 2 from each side. Simplify.
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Example 6a GEOMETRY The formula for the perimeter of a rectangle is where P is the perimeter, and w is the width of the rectangle. What is this formula solved for w? A. B. C. D.
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