Page 395 - Algebra 1

13.
(57)
Error Analysis Two students are asked to find the LCM of 24x5y2 and 32x3y6. Which student is correct? Explain the error.
Student A
24x5y2 =2·2·2·3·x·x·x·x·x·y·y
32x3y6 =2·2·2·2·2·x·x·x·y·y·y·y·y·y
LCM = 2 · 2 · 2 · x · x · x · y · y LCM = 8x3y2
Student B
24x5y2 =2·2·2·3·x·x·x·x·x·y·y
32x3y6 =2·2·2·2·2·x·x·x·y·y·y·y·y·y
LCM=2·2·2·2·2·3·x5 ·y6 LCM = 96x5y6
*14.
(Inv 4)
*15.
(57)
16.
(56)
*17.
(56)
18.
(56)
Geometry Write a counterexample for the statement: If the measures of the angles in a polygon add up to 360 degrees, then the polygon is a rectangle.
Multi-Step A line of children’s shoes are designed so that every 10th pair has blinking lights, every 24th pair glows in the dark, and every 15th pair is waterproof. a. How many pairs of shoes are made before one pair blinks, glows, and is
waterproof ?
b. If 2000 pairs of shoes are made, how many blink, glow, and are waterproof ?
Tellwhetherthesetoforderedpairs(9,6),(11,8),and(22,19)representsadirect variation.
Meteorology The number of seconds between seeing a lightning flash and hearing the thunder is directly proportional to the number of kilometers between you and the lightning. When there are 27 seconds between the flash and the sound, you are 9 kilometers from the lightning. How far is the lightning if the time is 51 seconds?
Error Analysis Two students are writing an equation for a direct variation that includes the point (15, -5). Which student is correct? Explain the error.
Student A
y = kx -5 = k(15)
- _1 = k
3 _1 y = -3k
Student B
y = kx
15 = k(-5)
-3 = k
y = -3k
19.
(54)
20.
(42)
Data Analysis A box-and-whisker plot shows the number of
signatures in yearbooks at the end of the school year. Identify the median, upper and lower quartiles, upper and lower extremes, and the interquartile range.
Use a proportion to find what percent of 108 is 81.
Signatures in Yearbooks
0 10 20 30 40 50 60 70
380
Saxon Algebra 1