Systems of Equations

Starts With S

100

What we have solved in Chapter 3.

What are Systems 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 set?

400

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

What is slope-intercept form.

500

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

What is Santa's Sleigh?

Solving by Graphing

100

The solution to the system:

y = x + 4
y = 2x + 5

What is (-1, 3)

200

The solution to the system of equations:

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

What is (0, -2)?

300

The solution to the system of equations:

y = -3
x = 5

What is (5, -3)

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:

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

What is 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:

4x + 3y = 120
2x - 3y = 24

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

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

What is (3, 8)

400

The solution to the system

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

What is (-2, -5)

500

The solution to the system

t + u = 12
3t = 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

Brenda's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?

What is $4/senior citizen and $7/child?

500

I have 10 coins in my pocket. They are all quarters and dimes. I have a total $1.60. How many type of each coin do I have?

What is 4 quarters and 6 dimes?