Chapter 5: Systems of Linear Equations

Trivia

100

What is the most common letter in the English alphabet?  

E

200

What is the 2nd smallest country in the world?

Monaco

300

What is the hardest rock?

Diamond

400

How many eyes does a bee have?

5

500

What is the biggest island?

Australia

Substitution

100

What is the first step of substitution?

Isolate a variable

200

Substitute the following equations correctly:

y=-4x+2

2x-3y=5

2x-3(-4x+2)=5

300

Solve for x:

2x+4(2x-6)=14

x=2

400

Solve the system of linear equations by substitution.

6x-9=y

y=-3x

(1,-3)

500

Solve the system of linear equations by substitution.

2x-y=4

x-y=9

(-5,-14)

Elimination

100

What is the first step of elimination method?

Check it is in standard form / Check if there are matching coefficients

200

How do you make the y's cancel out in the following system:

2x+y = 3

4x+5y = 4

Multiply the first equation by 5 or -5

300

Do you add or subtract these equations:

2x+4y=-8

-3x-4y=5

Add

400

Solve the system of linear equations by elimination

-x+y=4

x+3y=4

(-2,2)

500

3x-8y=15

6x+2y=30

(5,0)

Graphing

100

What is the slope of the equation?

y = -1/3x +5

-1/3

200

What is the y-intercept of the equation?

y=2/3x - 18.5

-18.5

300

Graph the equation

y=2x+3

(See Solution)

400

Solve the system of equations using graphing:

y=-1/2x +1

y=x-5

(4,-1)

500

How many solutions are there in the following system of equations:

2x+y=4

-2y-4x=5

No solutions