Systems of Equations

Starts With S

100

More than one equation to be solved at the same time is know as this.

What is SYSTEM OF EQUATIONS

200

The ratio of rise to run

What is SLOPE

300

The answer to an equation or system of equations.

What is a SOLUTION

400

y = mx + b is more formally known as this.

What is SLOPE-INTERCEPT

500

Elimination is the best method when equations are in this form.

What is STANDARD

Solving by Graphing

100

Solve by graphing:

y = x + 4
y = 2x + 5

What is (-1, 3)

200

Solve by graphing:

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

What is (0, -2)?

300

Solve by graphing:

y = -3
x = 5

What is (5, -3)

400

Solve by graphing:

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

What is (3, -2)

500

Solve by graphing:

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

NO SOLUTION

Solving by Elimination

100

The solution to the system of equations:

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

What is (-8, 2)?

200

The solution to the system:

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

What is (0.5, 1)?

300

The solution to the system:

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

What is (-15, 12)?

400

The solution to the system

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

What is infinitely many solutions?

500

The solution to the system:

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

What is (24, 8)

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 Problems

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

Find dimensions of a rectangle whose perimeter is 78 inches if the length is double the width.

What is 26 by 13?

500

Mr. MoneyBags left $25,000 to his son and daughter. If the son received $5000 less than the daughter, how much did each kid receive?

$15,000 for the daughter and $10,000 for the son?