Page 82 - Algebra 1

10. Error Analysis Students were asked to simplify _5 ÷ (-_3 ). Which student is correct? (11) Explain the error. 6 2
Student A
_5 ÷ ( - _3 ) 62
= _5 · ( - _2 ) 63
= - _5 9
Student B
_5 ÷ ( - _3 ) 62
= _5 · ( - _2 ) 63
= _5 9
*11. Jon has 5 marbles. His best friend gives him some more. Then he buys 15 more (12) marbles. The expression 5 + x + 15 shows the total number of marbles Jon now
has. Show two ways to simplify this expression and justify each step. __
12. Multiple Choice What is the value of (5x + x)2(6 - x) when x = 2? (9) x
A 288 B 200 C 400 D 28 *13. Find the value of (4x3y2)2 when x = 2 and y = 1.
(9)
14. Convert 588 ounces to pounds. (Hint: 1 lb = 16 oz) (8)
*15. Geometry A wall in a rectangular room is 12 feet by 8 feet. Jose calculated the area (12) using the equations A = 12 · 8 and A = 8 · 12. Explain why each expression will
give him the same answer.
*16. Interior Decorating Tim is building a picture frame that is 10 inches long and (12) 6 inches wide. He calculated the perimeter using P = 2(10 + 6). His brother
calculated the perimeter for the same frame using P = 2(6 + 10). Will the measurements be the same? Explain.
*17. Temperature ToconvertatemperaturefromCelsiustoFahrenheit,Marcusesthe (12) formula F = _9 C + 32. He also uses the formula F = 32 + _9 C. Which calculation is
55 correct? Explain.
18. Geometry A rectangle is twice as long as it is wide. If the width of the (11) rectangle measures 2.3 inches, what is the area of the rectangle?
2.3 in.
2.3 in.
19. Multi-Step In each of the first five rounds of a game; Tyra scored 28 points. In
(11) each of the next three rounds, she scored -41 points. Then she scored two rounds
of -16 points. What is the total number of points that Tyra scored? Explain. *20. Multiple Choice Order from greatest to least: _1 , 0.23, -0.24, _1 .
(10) 43 A -0.24, 0.23, _1, _1 B _1, _1, 0.23, -0.24
43 43
C -0.24, 0.23, _1, _1 D _1, _1, 0.23, -0.24 34 34
21. Sewing Maria is sewing curtains that require 124 inches of ribbon trim. She can (8) only buy the ribbon in whole yard lengths. How many yards does she need to buy?
Lesson 12
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