Chapter 7 Review
Solve Systems of Equations
Apply Systems of Equations
1. (-1,0)
2. (1,4)
3. 15 of Style A; 13 of Style B
4. Depends on students’ answers
5. Infinitely Many Solutions
6. June; 14 people; Joe
7. (3, -5)
8. (2,-1)
9. 0.05n+0.10d=2.05
3b+4t=11.33
n+d=28
9b+5t=23.56
10. Tacos cost $1.49 each. Burritos cost $1.79 each.
#1
Solve the system of equations. Graphs
are provided if needed.
5x  y  5
3x  6y  3
#2
Solve the system of equations. Graphs
are provided if needed.
y  5x  1
y  2x  6
#3
Write and solve a system of equations. Define your variables.
A store sold 28 pairs of cross-trainer shoes for
a total of $2220. Style A sold for $70 per pair
and Style B sold for $90 per pair. How many
of each style were sold?
#4
For each system, tell which method would be best to
solve the system (Graphing, Substitution, or
Elimination). Explain your reasoning. You do not
need to solve the system.
a) 2x  5y  12 b) 6x  3y  12 c) y  6x  1
x  3y  1
xy7
y  x  5
#5
Solve the system of equations. Graphs
are provided if needed.
y  2x  4
4x  2y  8
#6
Susie and Joe both are on Facebook. In March, Susie has 5
friends, and is adding 3 friends per month. Joe has 2
friends and is adding 4 friends per month. Assume they will
continue adding friends at the same rate. Note the intervals
on the graph!
a) In what month will Joe
and Susie have the
same number of friend?
b) In that month, how many
friends will they each
have?
c) Who will have more
friends in September?
#7
Solve the system of equations. Graphs
are provided if needed.
3x  5y  16
2x  6y  36
#8
Solve the system of equations. Graphs
are provided if needed.
6x  2y  10
x  2y  4
#9
Write a system of equations. Define your variables. You do
NOT need to solve the system.
a) You have 28 coins that are all nickels and dimes. The
value of the coins is $2.05. Write a systems of equations
that can be used to find the number of nickels (n) and
dimes (d).
a) Two groups of students order burritos and tacos at a local
restaurant. One order of 3 burritos and 4 tacos costs
$11.33. The other order of 9 burritos and 5 tacos costs
$23.56. Write a system of equations to represent the
situation.
#10
Write and solve a system of equations. Define your variables.
Two groups of students order burritos and
tacos at a local restaurant. One order of 3
burritos and 4 tacos costs $11.33. The other
order of 9 burritos and 5 tacos costs $23.56.
Write a system of equations to represent the
situation.