Alg 2 Name

1.5 wksht Date Hour

Solve by substitution.

1.  y = x + 1 2. x + y = -4 3. x – 2y = 7

x + y = 9 2x + y = 5 2x + 3y = 7

4. 3x + y = 3 5. 2x + 4y = 6 6. 3x -2y = 5

-x – y = 4 x + 2y = 3 x + 4y = 4

Solve by elimination.

7. x – y = 5 8. 5m – n = 9 9. -3x + 2y =-1

3x +y = 7 6m – n = 13 5x – y = 4

10.  8x + 3y = 9 11. 2x + 5y = 19 12. 6x – 5y = 19

5x + 6y = -15 -3x + 4y = -17 5x + 4y = -25

Write a system of equations and solve.

13.  Three pens and two notebooks cost $8.25. Two pens and three notebooks cost $8.00. How much would two pens and two notebooks cost?

14.  Jim is older than Ken. The difference in their ages is 12 and the sum of their ages is 50. Find the age of each.

15.  A movie theater charges $5 for an adult ticket and $2 for a child’s ticket. One Saturday, the theater sold 785 tickets for $3280. How many child’s tickets were sold for the movie that Saturday?

16. Ann and Jan bowled together and had a combined score of 425. Jan’s score was 25 less

than Ann’s score. Find their scores.

17. Since my uncle’s farmyard appeared to be overrun with chickens and dogs, I asked him how

many of each he had. Being a puzzler, as well as a farmer, my uncle replied that his dogs and

chickens had a total of 148 legs and 60 heads. How many dogs and how many chickens does

my uncle have?