Systems of Equations

Words with meaning

100

More than one equation to be solved simultaneously is known as this.

What is a System of Equations

200

a symbol and placeholder for an unknown integer or expression

What is a variable?

300

A process used to solve systems of equations by replacing a variable in one equation with an equivalent expression from another equation.

What is substitution?

400

a fixed value or a non-changing mathematical object

What is a constant?

500

The alliterative vehicle by which presents are transported on Christmas Eve.

What is Santa's Sleigh?

Sub don't Plug

100

The solution to the system:

2g - 4h= -26

3g - h= -24

What is (-7, 3)

200

The solution to the system of equations:

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

What is (0, -2)?

300

The solution to the system of equations:

-3x + 3y= 4
-x + y = 3

What is no solution?

400

The solution to the system of equations

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

What is (3, -2)

500

The solution to the system of equations:

(x/2) + (y/8) = 4
(x/3) - (y/2) = - 2

What is (6, 8)

Rewrite and Solve

100

The solution to the system of equations:

3x - y= 13   

3y -2x= -4

What is (5, 2)?

200

The solution to the system:

4a + b = 0
-8a - 2b = 0

What is (2, -8)?

300

The solution to the system:

-3x - 4y =2
3x + 3y = -3

What is (-2, 1)?

400

The solution to the system

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

What is infinitely many solutions?

500

The solution to the system:

2r + t = 20
6r - 5t = 12

What is (7, 6)

Solving by Substitution

100

The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)

200

The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)

300

The solution to the system

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

What is (3, 8)

400

The solution to the system

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

What is (-2, -5)

500

The solution to the system

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

What is (3, 9)?

Word Scenarios

100

The sum of two numbers is 104. Their difference is 68. What are the numbers?

What are 86 and 18?

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

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

The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width

What is 26x13?

500

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?