Solving system of equations by graphing


Assignment:

Q1. Graph the equation using the slope and the y-intercept
y=10/7x+3

Q2. Solve by the substitution method
3x+4y=12
x=37-5y

Q3. Solve:
5/8x + 1/16x=3/16 + x

Q4. Type an inequality
-0.05x<-45

Q5. Translate to an algebraic expression. The product of 26% and some number let d represent the variable.

Q6. Type an ordered pair. x+6y=9 (1)
x=5-6y (2)

Q7. Solve using the multiplication principle.
-3/4x=-9/10

Q8. Find the domain of the function
p(x) =X to the second power -2x+5
Find the domain of P

Q9. Graph the line containing the given pair of points and find the slope.
(5,3) (-2,-4)

Q10. Graph the equation and indentify the y-intercept
y+x=-8

Q11. Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240-lb mixture that is 10% protein.
1-How many pounds of the corneal should be in the mixture?
2-How many pounds of the soybean should be in the mixture?

Q12. Find the slope
(0,1) (2,0)

Q13. Find the domain of the function
g(x)=1/8-5x

Q14. Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 mph and Train B is traveling at 80 mph. Train A passes a station at 4:20am. If Train B passes the same station at 4:35am, at what time will train B catch up to train A?

Q15. Decide whether the pair of lines is parallel, perpendicular, or neither.
4x+2y=1
2x-4y=9

Q16. Solve by using the elimination method
2x+3y=4
4x+6y=8

Q17. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent and independent.
9x-6y=-24
6y-9x=24

Q18. Find the slope, if it exists.
x=-4

Q19. In 1195, the life expectancy of males in a certain country was 73.1 years. In
2002, it was 76.4 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995.
The linear function E(t) that fits the data is:
E(t)=___ t +____

Use the function to predict the life expectancy of males in 2005
E(t)=

Q20. Find the slope, if it exists, of the line containing the pair of points
(9,6) and (10,-1)

Q21. Graph the inequality on a plane
3x+4y< or equal to 12

Q22. Use the intercepts to graph the equation
x+5y=10

Q23. Simplify: 9[74-(4-89)]

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Solving system of equations by graphing
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