Download 2nd Set of Homework

Algebra Supplement Part 2
Solve the equation.
1) 153 = 10x + 13
Finite Math
Name: _______________________________
17) The area of a circle with radius r is given by
the formula A = πr2 . Find the area of a circle
with radius 9 centimeters. Use 3.14 for π.
2) 80 = 15x + 5x
18) When a ball is thrown upward at a speed of 18
m/s, its height s above the ground (in meters)
after t seconds is given by the formula
s = 18t - 4.9t2 . Find the height of the ball after
3) 13x - 7x = -12
4) -9b + 4 + 7b = -3b + 9
3 seconds.
5) 6y - 4 = -1 - 7y
Solve the formula for the indicated letter.
1
19) A = bh, for h
2
6) -5b + 9 = -7 + 8b
7)
2x x
- = 3
5
3
8)
p 3p
- = 5
8
3
9
20) F = C + 32 for C
5
21) a + b = s + r for s
22)
1 1
+ = c for b
a b
23)
1 1 1
+ = for c
a b c
9) -3.4q = -20 - 1.4q
10) 8x - (2x - 1) = 2
11) (y - 4) - (y + 4) = 6y
12)
24) S = 4πr2 , for r2
(surface area of a sphere with radius r)
1
3 1
2
10x - - = 6
4 4
3
Solve.
25) What is 10% of 500
Solve. Label any contradictions or identities.
13) 3(x + 6) = 3x + 18
26) What number is 120% of 310
14) 12m + 96 = 3(4m + 32)
27) 79 is 50% of what number?
15) 18(x + 3) = 2(9x + 1) + 52
28) 199 is 32% of what number?
Solve the problem.
16) The perimeter of a rectangle with length L and
width W is given by the formula P = 2L + 2W.
Find the perimeter of a rectangle with length 7
meters and width 9 meters.
29) 912 is what percent of 787?
30) What percent of 118 is 59?
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31) During one year, the Greenʹs real estate bill
included $269 for city services. The fire
department received 30% of that amount. How
much money went to the fire department?
43) In order for a chemical reaction to remain
stable, its Celsius temperature must be no
more than 51.33°C. Find the Fahrenheit
temperatures at which the reaction will remain
9
stable. (F = C + 32)
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32) During one year, the Schmidtʹs real estate bill
included $262 for miscellaneous services. Of
this amount, 66% went to the library fund.
How much money did the library receive?
44) If the formula R = -0.037t + 50.1 can be used to
predict the world record in the 400-meter
dash t years after 1925, for what years will the
world records be 47.3 seconds or less?
Solve the problem.
33) On Monday, an investor bought 100 shares of
stock. On Tuesday, the value of the shares
went up 8%. How much did the investor pay
for the 100 shares if he sold them Wednesday
morning for $1458? Round to the nearest
dollar if necessary.
45) Company A rents copiers for a monthly charge
of $180 plus 12 cents per copy. Company B
rents copiers for a monthly charge of $360 plus
6 cents per copy. What is the number of copies
above which Company Aʹs charges are the
higher of the two?
34) Midtown Antiques collects 2% sales tax on all
sales. If total sales including tax are $1219.27,
find the portion that is the tax. Round to the
nearest cent if necessary.
46) A bag of marbles has twice as many blue
marbles as green marbles, and the bag has at
least 33 marbles in it. At least how many green
marbles does it have?
Solve using the addition and multiplication principles.
35) 4z - 1 ≥ 3z + 7
Provide an appropriate response.
47) True or false: The solution of the equation 7y 6 = 7y + 3 is zero.
36) -10y + 3 ≥ -9y + 4
48) What value of K makes this equation
equivalent to x = 3?
2x - 9 = K
37) -8 < 8t + 2 - 7t
38) 10x - 8 > 2(4x - 11)
49) What value of K makes this equation
equivalent to x = 5?
5x + 15x - 7 = K + 2
39) -18r - 27 ≤ -3(5r + 16)
40)
2
(2x - 1) < -2
3
50) Two angles are complementary. One of the
angles is r. How do you express the other
angle?
Use an inequality to solve the problem.
41) One side of a triangle is 6 cm shorter than the
base, x. The other side is 4 cm longer than the
base. What lengths of the base will allow the
perimeter of the triangle to be at least 25 cm?
51) One positive number is twice another. If the
larger number is m, how do you express the
other number in terms of m?
52) True or False? If x > 9 then 2x > 18.
42) The area of a triangle must be at most 44
square inches, the base is 8 inches, and the
height is x inches. Find the possible values for
x.
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