Intermediate Algebra Skill
Solving Absolute Value Equations: Absolute Value Expressions on Both Sides
Solve the following absolute value equations.
1) x + 4 = 2 x 7
2) 3x + 5 = x 6
3) x 9 = x + 6
4) x
Intermediate Algebra Skill
Finding the Domain: Given the Equation; Rational Function and Nonlinear
Denominator
Find the Domain.
x
1) F ( x) =
x2 36
2) G( x) =
3) f ( x) =
4) g ( x) =
x 5
x2 + 5x + 6
1
Intermediate Algebra Skill
Solving Compound Linear Inequalities: Decimal Coefficients
Solve the following Compound Linear Inequalities:
1) 3.2 < n 5.8 1.13
2) 1.5 b + 4.9 < 7.5
3) 10.2 < n 5.6 6.3
4)
Intermediate Algebra
Skill-Builder # AE - 3
Applying Exponent Rules Involving Quotients and Powers
Following are the exponent rules for quotients and powers.
an
= an
am
m
(4)
n
an
a
= n
b
b
(5)
Exam
Intermediate Algebra Skill
Sketching the Graph of a Circle Given the General Form of the Equation
Identify the center and radius of each. Then sketch the graph.
1) x 2 + y 2 1 = 0
8
2) x 2 + y 2 4 = 0
Intermediate Algebra Skill
Solving Linear Inequalities, Using Addition (Subtraction) Property; Integers
Solve the linear inequalities:
1) x + 8 > 3
2) x + 5 > 2
3) a + 7 13
4) a + 9 12
5) x 9 10
6) t