Solving Two-Step Equations
Solving the equation for the variable:
8p - 3 = 13
p = 2
Solving the equation for the variable:
.5 ( s + 5 ) = 7.5
s = 10
Solve the proportion:
3/4 = -6/m
m = -8
Find the percent of change to the nearest tenth, and also describe whether it is an increase or decrease:
$4.50 to $5.00
11.1% increase
Find the missing side of the right triangle, to the nearest tenth:
a = 5 & b = 9
c = 10.3
Solving the equation for the variable:
7h + 2h - 3 = 15
h = 2
Solving the equation for the variable:
7/12x = 3/14
x = 18/49
Solve the proportion:
9/4 = x/10
x = 22.5
Find the percent of change to the nearest tenth, and also describe whether it is an increase or decrease:
56 in to 65 in
16.1% increase
Determine whether the given lengths are the sides of a right triangle:
3, 7, & 10
No; 32 + 72 ≠ 102
Solving the equation for the variable:
3r - 8 = -32
r = -8
Solving the equation for the variable:
6 ( t + 5 ) = -36
t = -11
Solve the proportion:
s/15 = 4/45
s = 4/3
Find the percent of change to the nearest tenth, and also describe whether it is an increase or decrease:
8lb to 5 lb
37.5% decrease
Find the missing side of the right triangle, to the nearest tenth:
c = 9 & a = 7
b = 5.7
A DVD club charges a monthly membership fee of $4.95 and $11.95 for each DVD purchased. If a customer's bill for the month was $64.70, how many DVD's did the customer purchase?
5 DVD's
Your test scores for the term are 87, 94, and 85. What do you need to score on the final test "t" to average a 90 on all your test?
t = 94
The scale on a map is 1in : 15mi. The distance between two cities is 25 miles. Find the distance (to the nearest tenth) in inches between the cities on the map.
about 1.7 inches
A computer that originally costs $1500 is on sale for $1275. What is the percent of change?
15% decrease
Determine whether the given lengths are the sides of a right triangle:
15, 17, 8
Yes; 82 + 152 = 172
Two friends rent an apartment together. They agree that one person will pay 1.5 times what the other person pays. If the rent is $850, how much will each person pay?
$340 & $510
A lawyer charges $100 per month to keep a client on retainer. The lawyer also charges an hourly rate of $75 for work done. How many hours does the lawyer have to work for a client, in one month, to charge $625?
7 hours
A 12-ounce can of green beans is sold for $1.45. What is the price per pound?
about $1.93/lb
The value of a stamp goes from $160 to $180. What is the percent of change?
12.5% increase
A 20-ft ladder is placed 5ft from the base of a building. How high on the building will the ladder reach to the nearest tenth?
19.4 ft