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Graphs and equations

1. Solve by graphing: 4x +5y = -2, 4y -x = 11

2. Write in the slope-intercept form:

y + 2/3= - (1/2)[x -( 2/5)]

3. A gun is fired straight upward. The bullet leaves the gun at 1000 ft. per sec. The equation for the bullet's velocity is v = -32 t + 1000. What is the velocity at 3 sec.?

4. Solve: y = 3x -4

x +y = 32

5. The combined population of X and Y was 25,000 in 1990. By 1995 the population of X had increased by 10%, while the population of Y had increased by 9%. If the total population increased by by 2,380 people, what was the population of each city in 1990?

6. - Solve by any method -x +2y =4 x-5y = 1

7. Solve by substitution:

2y - x = 3
x = 3y -5 x

8. Solve by addition:

7x -4y =-3, x+ 2y =3

9. Solve by substitution :

x-y =3, 3x -2y =3

10. Solve :

|x| = 2

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Solution Summary

This shows several examples of working with equations, including slope-intercept, solving by graphing, velocity, and solving by substitution.

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