Unit 5

Question 1

System of equations

Answer 1

Multiple equations of lines whose solution is where they all intercept/overlap

Question 2

How many solutions does this system have?
y = 2x + 2
2y = 4x + 4

Answer 2

Infinite (they are the same equation)

Question 3

What is graphing to solve a system of equations?

Answer 3

Graphing is where you graph the equations and see if/where they overlap.

Question 4

What is substitution to solve a system of equations?

Answer 4

Substitution is where you solve for one variable in terms of another and “substitute”/plug it in to the other.

Question 5

Solve this system:
y = 2x
4y = 3x + 2

Answer 5

(2/5, 4/5)

Question 6

Example of one equation with 2 variables

Answer 6

y = 3x + 2
(can be anything with 2 variables though)

Question 7

What are the methods to solve a system of equations?

Answer 7

Elimination, substitution, graphing

Question 8

How is the solution to a system represented?

Answer 8

(x, y)
Ordered pair

Question 9

How can you approximate the solution of a system using tables?

Answer 9

Find where the equation with the bigger y-value switches. The middle of those 2 x-values is the x-solution, and the middle of the 2 y-values at the point where the switch happens is the y-solution.

If the y-values are the same, just use the x and y values at that point.

Question 10

What are the three operations involved in elimination?

Answer 10

Multiplication, addition, subtraction

Question 11

How many solutions does this system have:
y = 2x + 2
2y = 4x + 5

Answer 11

Zero