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)
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)
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.
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( ) = 3(4) + 3(.02).
Over Lesson 1–2 5-Minute Check 5 A.3c 2 + 5cd + c B.3c cd + c C.3c cd D.3c 2 + c Simplify (2c)(3d) + c + 5cd + 3c 2.
Over Lesson 1–2 5-Minute Check 6 Which equation illustrates the Additive Identity Property? A = 5 B.5(1) = 5 C.5 + (–5) = 0 D.
Then/Now Can you translate verbal expressions into algebraic expressions & equations? Can you solve equations using the properties of equality?
Example 1 Verbal to Algebraic Expression A. Write an algebraic expression to represent the verbal expression 7 less than a number. Answer: n – 7
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
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.
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.
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.
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.
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?
Concept
Example 5 What is the solution to 25 = 3(2x + 2) – 5(2x + 1)? A.–6 B. C. D.6
Example 6 Solve for a Variable Surface area formula Subtract πr 2 from each side. Simplify.
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.