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 form.

500

The vehicle by which presents are transported on Christmas Eve.

What is a Sleigh?

Solving ANY way you choose

100

You would like to use graphing to solve a system of equations. Put the following equation into slope-intercept form so it is easy to solve.

2x - y = -5

What is y=2x+5

200

The y-value of the solution to the system of equations:

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

What method would you use to solve this system of equations? Why? 

2x - 6y = 3

y = x + 1

What is y=-2

300

What kind of a system is this? (MUST USE 2 WORDS TO DESCRIBE)   

 y = -3x  +1 

 2y = -6x+2

consistent dependent

400

Is (3,-2) a solution to the following system of equations? 

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

YES

500

The solution to the system of equations:

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

What is no solution?

Solving by Elimination

100

How many solutions does this system have?

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

one

200

The a value of the solution to the system:

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

What is 

a = 0.5

300

Is (-15,12) a solution to the following system of equations? 

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

YES

400

What is the solution to the system of equations?

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

What is infinitely many solutions?

500

What is the y-value of the solution to the following system of equations? 

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

y = 24

Solving by Substitution

100

What is y?

x = 4y
2x + 3y = 22

y = 2

200

what is the resulting equation when you substitute x-2 in for y in the 2nd equation (after you simplify the left side)

y = x - 2
3x - y = 16

What is 3x - (x-2) = 16

2x + 2 = 16 

300

Find the value of x in the solution

y = 3x
7x + 2y = 39

x=3

400

The t value of the solution to the system

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

What is -2

500

What is the u-coordinate of the solution to the system?

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

What is 9

Miscallaneous

100

5⁴(5³)(5^-1)

5⁶

200

Draw a line that makes a system of equations with the given line with a solution at (2,5)

See Smart Board 

300

Grady is buying hot chocolates. He buys 5 large and 3 small. He spends a total of $26. TJ buys 4 large and 6 small and spend $30. Let x = number of large hot cocoas and y = number of small hot chocolates. Write a system of equations that represents this situation. 

5x + 3y = 26

4x + 6y = 30

400

The sum of two numbers is 104. Their difference is 68. Write the system of equations that models this situation.

x+y = 104

x-y = 68

500

A shopper buys 6 shirts and 8 hats for $700. A week later, at the same prices he bought 9 shirts and 6 hats for $660. Write a system of equations for this situation. 

6x + 8y= 700

9x + 6y = 660