Algebra 1 - Unit 5 Review

Vocab

100

What is slope intercept form?

y = mx + b

200

Consistent equations

Equations having a common point 

300

Equivalent equations

Equations having all common points

400

Inconsistent equations

Equations having no common points 

Graphs

100

The solution shown is

Consistent

Inconsistent

Equivalent 

Consistent 

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 

300

Graph the solution for the following linear inequality system. 

y > 5

y ≥ x

Substitution/Elimination

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

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

12y = 8x + 3

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