CP -Algebra 1
Unit 5 Student Targets – Part I
Name:_________________________________________
Teacher:___________________Pd:_____Date:____
Big idea: Solve Systems of Equations
Target
Example
1.
I can check the intersection point (solution) of a
linear system of equations.
1.
2x  5 y  7
Is 6, 1 a solution to the linear system 
 x  2 y  8
2.
I can use the graphing method to solve a linear
system of equations.
2.
y  x 5
Solve the linear system by graphing. 
2x  y  8
3.
I can use the graphing calculator to solve a
linear system of equations (by table and
intersection point)
3.
 y  2x  1
Explain how you would use the graph AND table of values to solve 
5x  y  2
4.
I can identify the number of solutions of a
system of equations by graphing
4.
Using the graphs below, determine the number of solutions to the system of equations
a.
b.
5.
I can identify the number of solutions of a
system of equations by comparing their slopes
and y-intercepts
5.
Without solving, determine the number of solutions of the system of equations. Explain your
answer.
 y  4x  1
 y  3x  1
a. 
b.
y


x

4

6 x  2 y  2
6.
I can use the graphing method to solve a system
of equation represented in a word problem
6
a. Write a system of equation that represents the information in the table below.
Gyms
Midtown
X-Sport
7.
I can use the substitution method to solve a
system of equations (including no solution and
infinitely many solutions).
7.
8.
I can use the elimination method to solve a
system of equations (including no solution and
infinitely many solutions).
8.
Initial fee
$220
$100
Cost per month
$20
$60
b. Graph the system of equations from part a, and locate the break-even point.
c. Which gym membership will be cheaper following the break-even point. Explain.
Solve the linear system by using the substitution method.
x  3
 y  3x  6
x  2 y  1


a. 
b. 3x  5 y  4
c.  1
4 x  y  3
 x  3 y  2
Solve the linear system by using the elimination method.
3x  2 y  11
4 x  6 y  5
5x  6 y  4
a. 
b. 
c. 
 x  5 y  5
2x  3 y  5
7 x  6 y  8
Big idea: Systems of Inequalities
9.
I can use the graphing method to solve a linear
system of inequalities.
9.
10.
I can write a system of inequalities given a
shaded region
10
Graph the system of inequalities.
2 y  4 x  10
 y  3x

a. 
b.  y  2x  1
y


2
x

1

y 3

Write a system of linear equalities for the shaded region.
11.
I can use the graphing calculator to solve a
linear system of inequalities
11.
Check your answers from #9 using a graphing calculator.
Solutions
1. no
2. (1,6)
5a. 1 solution b/c
different slope & y-int
5b. infinitely many
solutions b/c same slope
& y-int
9b.
y 3
10. 
 y  2x  1
3. graph – look @ intersection
table – look for same y-values
7a. (-1,-1)
 y  20x  220
6a. 
7b. (3,1)
 y  60x  100
7c. no solution
6b. At 3 months
6c. Midtown
4a. 1 solution b/c 1
intersection point
8a. (2,-1)
8b. (5, -2)
8c. no solution
4b. no solution b/c no
intersection point
9a.