Chapter 13 Eraser Game!
A boat traveled 210 miles downstream and back. The trip
downstream took 10 hours. The trip back took 70 hours. What
is the speed of the boat in still water? What is the speed of
the current?
Solve by substitution
Y = 2x + 3
Y = 4x - 1
Solve by elimination
challenge
5x = 2y – 15
3x + 3y = 12
A boat traveled 336 miles downstream and back. The trip
downstream took 12 hours. The trip back took 14 hours. What
is the speed of the boat in still water? What is the speed of
the current?
Solve by graphing
2y – 4x = 2
Y = 2x - 4
Solve by substitution
2x – y = -4
-3x + y = -9
A farmhouse shelters 11 animals. Some are goats and
some are ducks. Altogether there are 34 legs. How
many of each animal are there?
Solve by substitution
1
𝑦
2
X=
+3
2x –y = 6
Solve by substitution
8x + 2y = 13
4x + y = 11
Chase and Sara went to the candy store. Chase bought 5
pieces of fudge and 3 pieces of bubble gum for a total of
$5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble
gum for a total of $3.60. How much does the fudge and
bubble gum cost?
Solve by graphing
Y = -x
Y = 2x - 6
The sum of two numbers is 68
and their difference is 22. What
are my two numbers?
Solve by elimination
X + y = -3
X–y=1
Solve by graphing
2x + 3y = 4
-4x – 6y = -8
Veronica has been saving dimes
and quarters. She has 94 coins
in all, and the total value is
$19.30. How many dimes and
how many quarters does she
have?
Solve by graphing
X – 2y = 2
3x + y = 6
The length of a rectangle is equal to
triple the width. Which system of
equations can be used to find the
dimensions of the rectangle if the
perimeter is 86 centimeters?
Solve by elimination
3a + b = 5
2a + b = 10
There are 13 animals in the barn. Some are chickens and some
are pigs. There are 40 legs in all. How many of each animal are
there?
Solve by elimination
X+y=3
2x – 3y = 16
Solve by graphing
Y = -x – 2
Y = 2x - 4
A class of 195 students went on a field trip. They took 7
vehicles, some cars and some buses. Find the number of cars
and the number of buses they took if each car holds 5
students and each bus hold 45 students.
Solve by elimination
8x – 3y = -11
2x – 5y = 27
Solve by elimination
2y = 4x
10x + 3y = 8
Solve by graphing
1
𝑥
2
Y=
2x + y = 10
The sum of two numbers is 24. Their difference is 15. What a
re the two numbers?
Solve by substitution
y = 5x
2x + 3y = 34
Solve by graphing
Y=x–4
1
Y= 𝑥 −2
3
Solve by graphing
Y + x = -2
Y = -x -2