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Short Answer
Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
100

If both equations in a system have the same slope and y intercept, how many solution exist to the equations?

infinite or no unique solution

100
The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

What is II
100
The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?
100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100

 A bicycle store costs $2400 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even?

What is 15?

200

If a system of equations intersect, how many solutions does it have?

one

200
The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?
200
The solution to the system:

8a + 5b = 9
2a - 5b = -4

What is (0.5, 1)?
200
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
200
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
300

If a system of equations has no solution, what do you know about the graphs of the lines?

they don't intersect (they are parallel)

300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300
The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?
300
The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)
300
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
What is 400 advanced tickets, 200 game-day tickets?
400

If the equations in a system have the same slope, but different y-intercepts, how many solutions does it have?

none

400
The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)
400
The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?
400
The solution to the system

3s - 2t = 4
t = 2s - 1

What is (-2, -5)
400

A canoeist travels 30 miles downstream in three hours. Against the current the return trip took fifteen hours. Find the rate of the canoeist in calm water and the rate of the current.

What is 6 mph? What is 4 mph?

500

If a system of linear equations share the same y-intercept but have different slopes, where will the solution lie?


At the y-intercept

500

The solution to the system of equations:

y - 3x = 3
y = 3x - 2

What is no solution?

500
The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)
500
The solution to the system

t + u = 12
t = (1/3)u

What is (3, 9)?
500

Craig was driving on a 220-mi trip. For the first 3 h he traveled at a steady speed. At that point, realizing that he would be late to his destination, he increased his speed by 10 mi/h for the remaining 2 h of the trip. What was his driving speed for each portion of the trip?

What is 40 mph?

What is 50 mph?