Download What you should know: 1. -How to plot a line y=mx+b on graph

What you should know:
1. -How to plot a line y=mx+b on graph paper
*remember m= slope (rise/run) b=y-intercept
2. -How to determine the formula for a line from its graph
example what is the equation for the following graph? (answer y= x+5)
3. Question: Solve graphically x - 2y = 1 and x + y = 4.
Answer:
Y= (1/2)x –(1/2)
Y =-X+4
4. Solve the following system of equations:
x-2y= -2
3x +2y= 10
5.
6. For which system is (2, 2) the solution
a) x-2y=-2 3x+27=10
b) 3x= 2y x+y=5
7. One equation in a linear system is 3x+2y =8 , the system has one solution which
equation defines the second line?
a)
b)
c)
d)
6x+4y=7
-3x-2y=-8
9x+6y=24
3x+4y=8
8. One equation in a linear system is 3y-4x=12 the system has no solution. What
would this tell you about the relationship between the two equations in this system.
Suggest a possible equation for that other line.
9. Pat invested $1200 at the beginning of the year. She placed the money in two
types of bonds: one paying interest at 4% per annum and the other paying 6% per
annum. At the end of the year, Pat’s investment had grown to a value of $1255. Pat
had misplaced some of her records and was wondering how much she had invested
in each type of bond.
Using a system of equations, determine how much Pat had invested in each type of
bond.
10 A car was rented for 5 days, driven for 200 km and the charge was $200. The
same car was driven 3 days for 350 km and the charge was $150. Determine the
charge per day for a car and the cost per km
11. The graph given shows the boundary line of the inequality . What are the
restrictions on the x- and y-values that confine the graph to the shaded region?
And what is the equation of the inequality?
12. Graph the following inequality
3x+2y < 2
-Make sure to shade
13. Graph the following inequality:
2Y< 6-2X
X>0
Y>1