One-Step Equations
Multi-step Equations
Variables on Both Sides
Problem Solving
Equations with Rational Coefficients
100
x = 3 - 9
x = -6
100
2p + 1 = 21
p = 10
100
2x = x + 5
x = 5
100
Michael travels 315 miles in 7.1 hours. What is his average speed to the nearest hundredth?
44.37 mph
100
2.1x = 4.2
x = 2
200
3 + g = -17
g = -20
200
7p - 9 = -30
p = -3
200
x + 1 = 3x - 5
x = 3
200

17. Chris and Lisa went shopping and spent a total of $25.50.  Lisa spent $13.50 more than what Chris spent. How much did Lisa spend?

$19.50

200

-0.5x = 3.6

x = -7.2

300
19 - w = 13
w = 32
300

-6x - x + 10 = 15 - 7x - 5

All real numbers

300
2(3c - 8) = -8c - 2
c = 1
300
One elephant runs 10 mph for 45 minutes. How many miles does the elephant run?
7.5 miles
300
0.56g - 3.19 = 4.51g + 0.76
g = -1
400
7x = 126
x = 18
400
6(t - 3) = -60
t = -7
400
-2(-7a + 4) = 5(a - 16)
a = -8
400
Joseph is building a rectangular garden. He has 30 feet of fencing. The width of the garden must be 8 feet. What is the length of the garden?
L = 14 ft
400

(7/9)w = 56

w=72

500
p/3 = -9
p = -27
500
5y + 5(y - 3) = -63
y = -24/5 or -4.8
500
-3(d - 1) = d/5 + 3
d = 0
500
Two men are hiking an eleven mile stretch of the Ozark Highlands Trail. The first man begins his hike at 7 a.m. and travels at 4 mph. The second man begins his hike at 8 a.m. and hikes at 3 mph. If both men travel the same distance, who finishes first?
The first man! He travels for 3 hours and 40 minutes and finishes at 10:40 a.m. The second man travels for 2 hours and 45 minutes, and finishes at 10:45 a.m.
500
8.1(q - 9.33) = -2.71(-3.6 - 2q) + 2.11q Round to the nearest integer.
q = ~150
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