Word Problems
Solve by graphing & line names
Solve by Substitution
Solve by Elimination
Is the Solution Correct?
100

A farmer has some chickens and some goats. She counted 40 heads and 126 legs. How many chickens and how many goats does she have?

The farmer has 17 chickens and 23 goats.

100

The equations y = 2x + 4 and y = -1/2x + 10. What types of lines are created?

What is perpendicular?

100
The solution to the system x + y = 2 y = 3
What is (-1,3) ?
100

The solution to the system x + 5y = 12 -x +y = 0

What is (2,2) ?

100

(4,5) is the solution to the following system? 4x - y = 12 x + 6y = 13

What is, NO ?

200

For a trip, one high school rented and filled 6 vans and 8 buses with 202 students. Another high school fit its 68 students into 4 vans and 2 buses. With each bus and van seating the same number of students, how many students can a bus carry? How many students can a van carry?  

What is vans holding 7 students and buses holding 20 students?

200

Using the equations; 2x + 10 and 2x -5.  What type of lines are created?

What is parallel?

200
2y - x = 4 10y - x = 20
What is (4,2) ?
200

The solution to the system -4x - 2y = -12 4x + 8y = -24

What is (6,-6)?

200
(0,-4) the solution to the system y = -20x + 1 20x + y = 6
What is No?
300

John went to Yellow Stone National Park one day this summer. All of the people at the park were either hiking or bike riding. There were 178 more hikers than bike riders. If there were a total of 676 people at the park, how many were hiking, and how many were riding their bikes?

What is 427 hikers and 249 bikers?

300

Using the equations 2/4x + 10 and 8/16x - 4.  What type of lines are created?  

What is overlapping lines?

300
The solution to the system y = 6x - 11 -2x - 3y = -7
What is (2,1) ?
300
The solution to the system 5x + y = 9 10x - 7y = -18
What is (1,4)?
300
(-2,1) is a solution to the system 6x - 3y = -15 2x + y = -3
What is Yes?
400

Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?

What is 98 small cups and 57 large cups of lemonade?

400

Using the equations, y = 1/3x + 8  and  y = 3/5x - 2.  What type of lines would be created?

What is intersecting lines?

400
The solution to the system -3x + 3y = 4 -x + y = 3
What is no solution?
400
The solution to the system -4x + 9y = 9 x = 3y - 6
What is (9,5)?
400
No solution describes the solution to the following system y = 3x + 4 y = -x - 4
What is No?
500

Phil bought 6 new compact disks and 2 used compact disks for $127.92. At the same prices, Mackenzie bought 3 new compact disks and 8 used compact disks for $133.89. Find the cost of buying a single used compact disk.

What is $9.99 ?

500

By graphing, the solution to the system y = (5/4)x - 2 y = (5/4)x -1

What is no solution?

500
The solution to the system -5x - 8y = 17 2x - 7y = -17
What is (-5,1) ?
500
The solution to the system 2x + 8y = 6 -5x - 20y = -15
What is infinite number of solutions?
500
(-3,-1) is the solution to y=(4/3)x + 3 (2/3)x + y = -3
What is (-3,-1)?
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