SOLVING SYSTEMS BY GRAPHING PT 1

1.

What are the calculator steps in order to find the solution to a system in the calculator?

What is the solution to the below equations?

Y=8x+4Y=2(x+5)

2.

David needs a plumber. One local plumber charges a base fee of $30 and $25 an hour. The other plumber charges a base fee of $10 and $27 an hour. How many hours would they have to work to charge the same amount? (complete sentence)

3.

What is the solution to the below equations?

Y= 45+.003(x-15) Y= 2x+15

4.

What is the solution to the below equations?

Y = 8x – 5 and 5x + 3y = 14

5.

What is the solution to the below equations?

Y= 34+.25(x+9) Y= -6x+200

6.

Jim researched two cleaning companies. One company charges $20 to come to your house and $12 an hour. The other company didn’t charge a fee to come to your house but charges $14 an hour. When do they charge the same amount? (complete sentence)

7.

8. What is the slope and y intercept of the below equation?

15x – 5y = 20

9. What is the solution to the below system?

5c – 2d = 23 and 2c + 8d = 18

Blanca wanted to join a gym. Gold’s gym charges a membership fee $120 an then $35 a month. Anytime Fitness charges a membership fee of $50 and then a monthly fee of $55. How many months would it take for both gyms to charge the same amount? (complete sentence)

10.

Sketch an example of what a ‘no solution’ system would look like.

11.

12. Simplify the below expression.

4(x+2) - 5(2x+ 8)