Foundations of Algebra Final Review

What is the equation of the line?

• y = 0

• y = 1

• y = 2

• x = 1

Determine the type of variation.

• Direct

• Inverse

• None

Determine the type of variation.

• Direct

• Inverse

• None

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

What is the solution to the system?

• (3, -1)

• (2, -6)

• No Solution 

• (6, -2)

Which is the best method to use?

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

What is the solution to the system of equations below?

-4x - 2y = -2

5x + 2y = 4

• (-3, 2)

• (-3, 3)

• (2, -3)

• (2, 3)

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

• 1s + 3c = 38
  2s + 3c = 52

• 3s + 1c = 38
  3s + 2c = 52

• s + c = 38
  s + c = 52

• 3s + 3c = 38
  1s + 2c = 52

What is the Distributive property of equality

•  If a=b, then  a can be substituted for b in any equation or expression

•  a(b+c)=ab+ac

•  For any real number a, a=a .

•  If a=b, then b=a