Task 4.9 – Solving Systems – Word Problems
IBE & Practice (A.REI.6)
INTEGRATED MATH 1
Name:
Date:
Period:
1) The Clippers scored a total of 82 points (not including free throws made) in the basketball game against the
Rockets. The Clippers made a total of 39 two-point and three-point shots altogether. How many two-point shots did
the Clippers make? How many three-point shots did the Clippers make?
a) Create an equation to model the total number of two
point and three point shots made. Explain what each
variable and number represents.
b) Create an equation to model the total number of points
scored. Take into account three-point and two-point
shots. Explain what each variable and number
represents.
c) Solve the system of equations using the method of
your choice.
d) What does the solution represent in the context of this
problem? Write a complete sentence.
2) In the same game, the Rockets scored a total of 77 points (not including free throws made) in the basketball game.
The Rockets made a total of 34 two-point and three-point shots altogether. How many two-point shots did the Rockets
make? How many three-point shots did the Rockets make? Create a system of equations to model this situation.
Explain what each variable and number means.
3) Julio has 14 nickels and dimes. All together, he has
$1.15. How many dimes does he have?
4) Jasmine has $2.85 in quarters and nickels. She has a
total of 17 coins. How many of each kind does she have?
5) The sum of Sara’s age and half of Anna’s is 13. If
Anna is five years older than Sara, how old are the girls?
6) Flora has 48 coins in her piggy bank. There are only
dimes and quarters in there. If she has a total of $10.20,
how many of each coin does she have?
7) Solve: {
2𝑥 − 5𝑦 = −10
6
3𝑦 = 𝑥 + 6
5
8) Maria’s parents bought a total of 25 dozens of flowers
for her quinceanera. A dozen of carnations cost $12, and
a dozen of roses cost $14. If they spent a total of $330,
how many dozens of roses did they buy?