Algebra Final Exam

Solving Linear Equations Topical Review

Procedures
Solve for x: 4x + 3 = 11
Box VARIABLE TERM and Solve for variable
  • Get BOXED TERM by itself on one side of the = sign
  • Solve for VARIABLE BOXED TERM:
/ 4x + 3 = 11
-3 -3
4x = 8
4 4
x = 2
Equations with Fractions
Type 1: Fraction with no ( ) in problem
  • Multiply EVERY term by the bottom # to get rid of the fraction
This will cancel the Fraction out
  • Then solve basic equation

Type 2: Fractions with ( ) in problem
  • Multiply both sides by bottom # to get rid of the fraction
This will cancel the Fraction out
  • Distribute remaining # in front of ( )
  • Then solve basic equation
/


+102 +102
5x = 714
5 5
x = 142.8





-24 -24
9x = 36
9 9
x = 4

SOLVING INEQUALITY EQUATIONS

Solve the inequality equation using procedures from above

  • Graph the solution on a number line using correct endpoints (open or closed)

< or > have open circles have closed circles

Shade -Pick a test point to determine truth value. Shade where value is TRUE

  • Write answer using
Interval Notation ( ) or [ ]
Solution Set < or > and /
–2(x – 3) > 5(x – 9)

-6 -6
-2x > 5x –51
-5x -5x -5x
-7x -51
-7 -7


Solve the following:

1. 8y – (5y + 2) = 16 2.

3. 9x – 6 = 5x – 15 + x4.

5. 6.

7.Solve and graph the inequality (on a number line):

Also, write the answer in Set and Interval Notation.

8.Solve and graph the inequality (on a number line):

Also, write the answer in Set and Interval Notation.