Vocab
Graphs
Substitution/Elimination
100
What is slope intercept form?

y = mx + b

100

The solution shown is

Consistent

Inconsistent

Equivalent 

Consistent 

100

Solve the following system of equations by the substitution method.



5x = y + 6

2x - 3y = 4

What is the value of the y-coordinate?

If 5x = y + 6, then y = 5x - 6.

2x - 3(5x - 6) = 4

2x - 15x + 18 = 4

-13x = -14

x = 14/13

5(14/13) - 6 = y

(70 - 78)/13 


y = -8/13

200

Consistent equations

Equations having a common point 

200

The solution to the system is best described as ____________.

{point on negative x-axis}

{} or empty set

{infinite set of points on a line}

{point on negative y-axis}

Empty set 

200

Which of the following equations is equivalent to y = x + ?

12y = 8x + 3

300

Equivalent equations

Equations having all common points

300

Graph the solution for the following linear inequality system. 

y > 5

y ≥ x


300


John is twice as old as Mary. The sum of their ages is 52. How old is Mary?



If J = John's age and M = Mary's age, which system of equations could be used to solve the problem?


J = 2M and J + M = 52

2J = M and J + M = 52

J = 2M and JM = 52

J = 2M and J + M = 52

400

Inconsistent equations

Equations having no common points 

400
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