Starts With S
More than one equation to be solved at the same time is known as this.
What is System of Equations? (Simultaneous equations - OK)
Solution to the following:
y = 2x + 4
y = 2x + 5
Empty set - they are parallel lines.
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
The solution to the system: (You MUST solve by substitution)
x = 4y
2x + 3y = 22
What is (8, 2)
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
x + y = 104
x - y = 68
The ratio of rise to run
What is slope?
The solution to this system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
The solution to the system:
8x + 5y =21
2x - 5y = -1
What is (2, 1)?
The solution to the system: (You MUST solve by substitution)
y = x - 2
3x - y = 16
What is (7, 5)
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?
(Just list the two equations needed. Solve them for bonus.)
6S + 8H = 700
9S + 6H = 660
What is $30?
The answer to an equation or system of equations.
What is a solution set?
The solution to the system of equations:
y = -3
x = 5
What is (5, -3)
The solution to the system:
2x + 3y = 5
-3x + 5y = 21
What is (-2, 3)?
The solution to the system: (You MUST solve by substitution)
y = 3x - 1
4x + 2y = 28
What is (3, 8)
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.00 if purchased before the day of the game. They cost $8.00 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3400.
(Set up an equation for the total number of tickets & one for the total cost.)
What is 400 advanced tickets, 200 game-day tickets?
5B + 8G = 3400
B + G = 600
y = mx + b is more formally known as this.
What is slope-intercept form.
The solution to the system of equations
y = (1/3) x - 3
y = 2x - 8
What is (3, -2)
The solution to the system
2x - 4y = 12
-8x + 16y = -48
What is infinitely many solutions?
(They are parallel lines, since their slopes are the same.)
The solution to the system: (You MUST solve by substitution)
3x - 2y = 4
y = 2x - 1
What is (-2, -5)
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width.
What is 26x13?
2L + 2W = 78
L = 2W (Use substitution.)
The vehicle by which presents are transported on Christmas Eve.
What is Santa's Sleigh?
The solution to this system of equations:
y - 3x = 3
2y = 6x + 6
Infinite number of solutions. They are the same line, so any point on one line is on the other as well.
The solution to the system:
(1/3)x + (1/4)y = 4
(1/3)x - (1/2)y = -2
What is (6, 8)
The solution to the system: (You MUST solve by substitution)
x + y = 12
x = (1/3)y
What is (3, 9)?
The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
What is $15,000 for the son and $10,000 for the daughter?
S = 25000 - D
D = S - 5000 (Use substitution.)