Solve equations
Solve inequalities
Simplify Expressions
Rate-Factor
Tax and Discounts
100

20A = 5 

A =  1/4 

100

5r ≤ 40 

r ≤ 8 

100

6a + a + b + 4b 

7a + 5b

100

26 mi/gal · 17.5 gal 

455 miles

100

After a discount of 40%, a rug cost $485. What was the original price of the rug? 

$808.33

200

−6B = −420 

B = 70

200

4r + 9 > 5.5 

r > −0.875

200

8x - x - x 

6x

200

How many seconds are in a day? 

200

Bill ordered a meal for $12.95. A 5% sales tax was added. If Bill tips 20%, how much will his meal have cost in all? 

$16.32 

300

2(x + 3) + 5 = 25

x = 7

300

−6t - 5 ≤ 25 

t ≥ −5 

300

−8 · 7 · −2 · −1 · −5 · 1 · 3 · −6 

will the product be positive or negative, explain why

negative because there are an odd number of negative signs

300

The average speed of cyclists in the 2005 Tour de France was a record, 41.654 kilometers per hour. What was the average speed in miles per hour? (1 km ≈ 0.62 mi) 

25.83 miles per hour 

300

A charity met 35% of its goal when it had raised $50,000. What was its goal? 

$142,857.14 

400

-3/7p = 36

p = -84

400

6 < −w + −w 

w < −3

400

m x m x p x m x p x m

m4 x p2

400

A new car is advertised to get 24 miles per gallon of gas. If gas costs $3.29 per gallon, how much would a person pay for enough gas to drive 120 miles? 

$16.45 

400

Harry ate 30% of a pie. Ted ate 60% of what was left. How much of the whole pie did Ted eat? 

42%

500

3(x + 2) - 5 = 2x + 8

x = 7

500

− k/21 + 27 > − 3/7

k < 576 

500

2(x-8) + 7(x + 2)

9x -2

500

If Marlene runs 4.85 miles an hour and she runs 2 hours each day, how many miles does she run in 8 weeks?

500

A store sells a sweater for $50, offering a 20% discount and then adding a 6% sales tax. What is the final price of the sweater?

$42.40