Page 117 - Algebra 1

*22. Multi-Step Tamatha picks 10 peaches a minute for x minutes. Her grandmother (18) picks 12 peaches a minute for 3 fewer minutes.
a. Write an expression to represent the number of minutes the grandmother picks peaches.
b. Write an expression for the number of peaches they pick together and then simplify.
23. Geometry Translate the Pythagorean Theorem into symbols. In a right triangle, (17) the sum of the squares of the legs of the triangle is equal to the square of the
3 4 24. (17)
hypotenuse. Let a and b be the legs of the triangle and c be the hypotenuse. Measurement A railing is being built around a rectangular deck.
w
l
a. Write an expression to represent the number of feet of railing needed.
b. The width is doubled. The length is tripled. Write an expression to represent the
number of feet of railing needed.
25. Multiple Choice Simplify the expression 7(10 - y). Which expression is correct?
(15)
26. Justify Simplify the expression -m(mn2 - m2n) and explain your method for (15) simplifying.
27. Probability A number is chosen at random from the numbers 1 through 5. What is (14) the probability that an odd number will be chosen?
28. Carpentry A new company buys 140 square feet of carpet to cover the floor in one (13) of its square offices. The carpet is 4 square feet too small. What is the length of
the office floor?
29. Verify The Commutative Property states that 6 · 4 = 4 · 6. Show that the
(12) Commutative Property does not apply to division.
30. Error Analysis Two students translate the phrase “the sum of the squares of 8 and p”
(17) into an algebraic expression. Which student is correct? Explain the error.
A 70 - y B 70 - 7y C 70-7+y D 70y-7y
Student A
(p + 8)2
Student B
p2 + 82
102 Saxon Algebra 1