Page 244 - Algebra 1

22. Multiple Choice What are the odds against spinning a B on the spinner?
(33) A 1:2 C 2:1
B 1:3 D 3:1
A B
A
A
A B
23. Multi-Step Steve has $300 in the bank. Each week he spends $10. Mario has $100 in (18) the bank and deposits $5 each week.
a. Write expressions to represent how many dollars each person has in the bank after w weeks.
b. Write an expression that represents how many dollars they have altogether. c. After 6 weeks, how much money do they have?
24. Identify the independent variable and the dependent variable in the following (20) statement: The fire was very large, so many firefighters were there.
25. Multi-Step The measure of angle B is three times the measure of
(23) angle A. The sum of the angle measures is 128°. Find the value of x.
(x + 2)° A
26. Piano Lessons A piano student has a $250 scholarship and an additional $422 saved (23) for piano lessons. If each lesson costs $42, how many lessons will he have?
3(x + 2)° B
_2 0 27. Simplify 4x z .
(32) 2x3z
3 4
28. Meteorology Meteorologists sometimes use a measure known as virtual
(26) temperature (Tv) in kelvins (K) to compare dry and moist air. It can be calculated
as Tv = T(1 + 0.61r), where T is the temperature of the air and r is the mixing ratio of water vapor and dry air. For temperatures of T = 282.5 K and Tv = 285 K, find the mixing ratio to the nearest thousandth.
29. Measurement For a science project, Joe must measure out 5 samples of a liquid. The (27) graph shows the size of his samples. Why might the data require smaller intervals
on the graph?
Sample Measures
5 4 3 2 1 0
30. Justify Solve the equation 34 - 2(x + 17) = 23x - 15 - 3x. Write out and justify (28) each step.
Lesson 36 229
Sample 1 Sample 2 Sample 3 Sample 4 Sample 5