Download Review: Solve Linear Systems

MFM2P1 Exam Review: CH 5 Solve Linear Systems
The solution to a system of equations is the intersection point (POI) of two lines when
graphed. Meaning it is a coordinate (x,y). When solved using methods 2 or 3, the
solution will satisfy both equations.
Method 1 Graphing y=mx+b
1. Find the point of intersection of each linear system. Check your answers.
a)
y=x5
b) y = 2x + 2
y = x + 3
y = 3x +1
2. Solve each linear system by graphing.
a)
y =  4x
y= 1x+9
2
b)
y= 1x+3
4
y = 2x  4
Method 2 Substitution
3. Use the substitution method to solve each linear system. Steps: ISOLATE, SUB,
SOLVE, SUB.
a) x + y =  4
y = 2x  1
b) 3x + y = 7
2x  y =  2
Method 3 Elimination
4. Use the elimination method to solve each linear system.
a)
x + 2y = 5
b) x  3y =  1
5x  2y = 1
2x + 5y =  13
Word Problem Use any method
5. Daisy wants high-speed internet. One company charges an $80 installation fee plus
$30 per month. A second internet company charges a $100 installation fee plus $25
per month.
a) After how many months are the costs the same?
b) If Daisy plans to use the internet for 1 year, which company should she
choose? Why?
MFM2P1 Exam Review: CH 6 Quadratic Relations
1. Graph the relation. First, decide where to draw the axes.
x
y
2
4
1
1
0
0
1
1
2
4
2. For the graph, identify
a) the coordinates of the vertex
b) the equation of the axis of symmetry
c) the y-intercept
d) the x-intercepts
3. For the graph, identify
a) the coordinates of the vertex
b) the equation of the axis of symmetry
c) the y-intercept
d) the x-intercepts