2 Step Equation/Inequalities
Proportions & Similar Figures
Percent of change
Pythagorean Theorem
Absolute & Compound Equations/Inequalities
100

-x + 7x = 24

x = 4

100

4/12 = 6/c

c = 18

100

From $75,000 to $85,000, find to the nearest percent

13% increase

100

Do the 3 lengths make a right triangle?

5, 12, 13

Yes,

52 +122 = 132

25 + 144 = 169

100

| n + 2 | = 4

n = 2 & n = -6

200

3 ( t + 5 ) = 9

t = -2

200

x/8 = (x-5)/6

x = 20

200

From 18oz to 12 oz, to the nearest percent

33% decrease

200

What is the length of the third side of the right triangle to the nearest tenth?

a = 4, b = 10

c = 10.8

200

4 | 2x + 5 | > 24

x > 1/2 & x < -11/2

300

3n + 5 > -1

n > -2

300

( d - 2 ) / ( d + 9 ) = 3/14

d = 5

300

From 56 in to 65 in, to the nearest percent

16% increase

300

What is the length of the third side of the right triangle to the nearest tenth?

a = 11, b = 14

c = 17.8

300

| 6 - b | = -1

No Solution

400

(-5/8)b < 25

b > -40

400

A 40:1 scale model of an airplane is being used to conduct wind-tunnel tests. If the model is 4.5 feet long, how long is the actual airplane?

180 ft long

400

A $1500 computer is on sale for $1275. What is the percent discount?

15% decrease

400

What is the length of the third side of the right triangle to the nearest tenth?

a = 9, c = 16

b = 13.2

400

Your test grade in science so far are 83 and 87. What possible grades can you make on your next test to have an average between 85 and 90, inclusive?

Between 85 and 100, inclusive.

500

Trenton sells electronic supplies. Each week he earns $210 plus a commission equal to 5% of his sales. This week his goal is to earn more than $800. Write and solve an equation to find the amount of sales he must have to reach his goal.

210 + 0.05s > 800

s > $11,800

500

A sailboat is traveling at a speed of 10 nautical miles per hour. If 1 nautical mile is 6076 ft, what is the speed of the sailboat in feet per second to the nearest tenth?

about 16.9ft/sec

500

The value of a stamp collection increase from $1600 to $1800, what is the percent change?

13% increase (12.5% increase)

500

A 20-ft ladder is placed 5 ft from the base of a building. How high on the building will the ladder reach to the nearest tenth?

about 19.4 ft

500

Solve and graph

4 + 3 |  r + 2 | < 7

-3 < r < -1

(Graph)