Algebra 1 Challenge

group1

100

simplify √98

7√2

200

sqrt(18/50)

3/5

300

0.5x + 1.2 = 0.2x + 3

 x = 6

400

(x+1)/3 + (x-2)/2 = 7/2

x = 5

500

A mother is 27 years older than her daughter. Their ages add up to 55. How old is each person?

Daughter is 14 years old. Mother is 41years old.

group2

100

 simplify√72

6√2

200

sqrt(121/144)

11/12

300

0.6x - 0.2 = 0.3x + 1.9

 x = 7

400

(x-1)/3 + x/2 = 3

 x = 4

500

Age Problem: In 5 years, a father will be twice as old as his son. The father is currently 25 years older than his son. How old are they now?

Son is currently 20 years old, and the father is 45 years old.

group3

100

simplify√200

10√2

200

sqrt(32/72)

2/3

300

0.25x + 1.5 = 0.1x + 3

x = 10

400

(3x+3)/5 + (x-2)/2 = 4

x =4

500

Work Rate: One pipe can fill a tank in 15 minutes. A second pipe can fill the same tank in 10 minutes. If both pipes are opened at the same time, how long will it take to fill the tank?

6 minutes

group4

100

sqrt(125)

5*sqrt(5)

200

sqrt（45/80）

3/4

300

0.8x - 1.2 = 0.4x + 0.8

x = 5

400

(x-3)/2 - (x+1)/3 = 1

x = 17

500

A car leaves a city traveling at 50 mph. A second car leaves the same city 1 hour later traveling in the same direction at 60 mph. How many hours after the second car leaves will it catch the first car?

5 hours

group5

100

Simplify: sqrt(98)

7*sqrt(2)

200

 sqrt(256/400)

4/5

300

0.15x + 0.5 = 0.05x + 1.5

 x = 10

400

(2x+1)/3 - (x-2)/4 = 2

x = 13/5 (or 2.6)

500

A car leaves a city traveling at 40 mph. A second car leaves the same city 2 hours later traveling in the same direction at 60 mph. How many hours after the second car leaves will it catch the first car?

4 hours