Solving Systems
Matrices
Word Problems & Row Operations
100
REVIEW #1
Draw a system that has one solution, a system that has no solutions, and a system that has infinite solutions.
100
REVIEW #2
Write the matrix you would use to solve the following system.
{(2x+2y=8),(3x+3y=12):}
[[2,2,8],[3,3,12]]
100
BONUS QUESTION
Write the system of equations for the problem below.
Lindsey, Lauren, and Ali went to get desserts after school. Lindsey got 1 scoop of ice cream, 2 cookies, and 3 mini cupcakes for $9.75. Lauren got 2 scoops of ice cream, 2 cookies, and 2 mini cupcakes for $11. Ali got 3 scoops of ice cream, 1 cookie, and 2 mini cupcakes for $11.75. Write the three equations that are needed to find out how much a scoop of ice cream, a cookie, and a mini cupcake are.
{(x+2y+3z=9.75),(2x+2y+2z=11),(3x+y+2z=11.75):}
200
REVIEW #4
Solve the following by using substitution or elimination
{(y=6x-11),(-2x-3y=-7):}
x=2
y=1
200
REVIEW #3
Write the matrix you would use to solve the following system.
{(4x+y=-7),(-y=0-3x):}
[[4,1,-7],[3,-1,0]]
200
REVIEW #8
find the new matrix after the row operations are applied.
R_3+R_1=R_1
[[5,0,-1,-3],[-1,-2,1,-2],[3,-1,2,3]]
300
REVIEW #4
Solve the following by using substitution or elimination
{(x-2y=-4),(x+2y=4):}
x=0
y=2
300
REVIEW #5
Solve the following using matrices
[[1,-1,1,-8],[1,2,7,13],[2,3,-3,4]]
x=-4
y=5
z=1
300
REVIEW #10
Tickets to the local Monster Truck Rally were sold at $6.00 for adults and $4.50 for students. If 110 tickets were sold for a total of $615.00, how many tickets of each type were sold?
80 adult tickets and 30 student tickets
400
REVIEW #9
What is the solution to the system of functions?
(Look at the table in your review!)
x=1
y=4
400
REVIEW #6
Solve the following using matrices
[[-1,-5,-5,2],[4,-5,4,19],[1,5,-1,-20]]
x=-2
y=-3
z=3
400
REVIEW #11
On the first night of the Jonas Brothers concert, Fish Ticket Outlet collected $67,200 on the sale of 1600 lawn seats and 2400 reserved seats. On the second night, the outlet collected $73,200 by selling 2000 lawn seats and 2400 reserved seats. Find the cost of each kind of seat.
$15 for lawn seats and $18 for reserved seats
500
BONUS QUESTION
What is the solution to the system graphed below
(-2,1)
500
REVIEW #7
Solve the following using matrices
[[1,2,3,9],[1,3,2,5],[1,4,-1,-5]]
x=2
y=-1
z=3
500
REVIEW #12
Jennifer, Dani, and Emily went shopping at DSW. Jennifer bought 2 pairs of sandals, a pair of heels, and a pair of sneakers for $84.99. Emily bought 3 pairs of heels and 2 pairs of sneakers for $134.97. Dani bought a pair of sandals, a pair of heels, and 4 pairs of sneakers for $159.99. How much do sandals, heels, and sneakers each cost?
$15 for sandals, $24.99 for heels and $30 for sneakers