Starts With S
Solving by Elimination
Solving by Substitution
Word Problems
100

A set of two or more linear equations that are considered at the same time. 

What is a system?

100

The solution to the following system of equations:

x + y = -6
x - y = -10

What is (-8, 2)?

100

The solution to the following system of equations:

x = 4y
2x + 3y = 22

What is (8, 2)?

100

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

What are 86 and 18?

200

The ratio of rise to run.

What is slope?

200

The solution to the following system of equations:

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

What is (0.5, 1)?

200

The solution to the following system of equations:

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 is the cost of one shirt?

What is $30?

300

A point (or a set of points) that satisfies both equations in a linear system of two equations.

What is the solution?

300

The solution to the following system of equations:

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

What is (-15, 12)?

300

The solution to the following system of equations:

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

What is (3, 8)?

300

Tickets to a football game cost $5.00 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 with a total of $3500 in sales. What is the number of advance tickets sold and what is the number of game day tickets sold?

What is 400 advance tickets and 200 game day tickets?

400

The equation for a linear relation when written as y = mx + b.

What is slope-intercept form?

400

The solution to the following system of equations:

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

What is infinitely many solutions?

400

The solution to the following system of equations:

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

What is (-2, -5)?

400

A rectangle has a perimeter of 78 cm, and the length of the rectangle is twice its width. What are the dimensions of the rectangle?

What is 26 cm x 13 cm?

500

The equation for a linear relation when written as Ax + By + C = 0.

What is standard form?

500

The solution to the following system of equations:

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

What is (24, 8)?

500

The solution to the following system of equations:

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

What is (3, 9)?

500

Barry is 8 years older than his sister, Jenna. In 3 years he will be twice as old as Jenna will be then. How old is each person now?

What is 5 (Jenna) and 13 (Barry)?