Download Chapter 1 Study Guide

Dev. Algebra II-Chapter 1 Review
Name:______________________________
TIPS: Study by DOING practice problems not just reading over your notes, quizzes, etc.
Remember…NO WORK = NO CREDIT on tests!
Give an example of each term from your notes or textbook:
Associative Property___________________________________________________________
Commutative Property__________________________________________________________
Distributive Property___________________________________________________________
Power_______________________________________________________________________
Reciprocal____________________________________________________________________
Evaluate: HINT: Plug in value for x and solve
2
8x2   2 x 
when x  6
Evaluate: HINT: Simplify the problem by using the correct order of operations (PEMDAS)
7  3(4)  6  (1 2)  (12  3)
Solve for y. HINT: Get y by itself
5 y  15 x  20
Solve for x. HINT: Get rid of the fractions by multiplying every term by the LCD (Least Common
Denominator)
2
3 2
x 
3
5 15
Solve for x. HINT: Distribute first, combine like terms, get x’s on one side and integers on the other to
find the value of x.
5( x  3)  12  2( x  2)
Solve the inequality. HINT: Get x by itself…what you do to the middle term, you must do to the first
and last terms too. If you multiply or divide by a negative, you must flip the inequality signs.
2  1  3x  10
Solve and graph the inequalities. HINT: Solve each inequality separately the same as you would an
equation. Plot the points separately on a number line (remember…< and > are open dots and  and 
are solid dots) and shade.
or
2x  5  1
x 1  0
Solve the absolute value. HINT: Absolute values have two solutions so two separate equations are
needed. Solve each separately.
4  3x  16
Solve and graph the inequality. HINT: Look at the inequality sign to determine method to solve. > and
 are set up using two separate equations. Plot the points separately on a number line and shade in
opposite directions.
2x  7  1
Solve and graph the inequality. HINT: Look at the inequality sign to determine method to solve. < and
 are set up using one large equation. Plot the points on a number line and shade between the points.
4x  7  9
BONUS- HINT: study 1.4 day 2 notes