Chapter Study
Guide and Review
Key Concepts
Addition and Subtraction Equations
(Lesson 1)- If you add or subtract the same number from each
side of an equation, the two sides remain equal.
Multiplication and Division Equations
(Lesson 2)- If you multiply each side of an equation by
the same number, the two sides remain equal. - If you divide each side of an equation by the same
nonzero number, the two sides remain equal.
Multi-Step Equations (Lesson 3)- A multi-step equation has variables on each side.
For example, 3x + 3 = x + 5.
Inequalities (Lesson 4)- When you multiply or divide each side of an
inequality by a negative number, the direction of
the symbol must be reversed for the inequality to
be true.
Vocabulary Check
State whether each sentence is true or false.
If false, replace the underlined word or
number to make a true sentence.- The expression _^1
3 y means one third of y. - Another term for multiplicative inverse is
reciprocal. - The formula d = rt gives the distance d
traveled at a rate of r for t units of time. - The algebraic expression representing the
words six less than m is 6 -m. - The symbol < means greater than.
- The word each sometimes suggests the
operation of division. - In solving the equation 4x+ 3 = 15, first
divide each side by 4. - A solution of the inequality p+ 4.4 < 11.6
is 7.2. - The process of solving a two-step equation
uses the work backward strategy. - The coefficient in the term 15x is x.
- The reciprocal of ^23 is -^23.
- The word per sometimes suggests the
operation of subtraction.
Be sure the following
Key Concepts are noted
in your Foldable.Addition and Subtraction
EquationsInequalitiesEquations and DivisionMultiplicationEquationsMultistep
quationtttttt254 Equations and InequalitiesKey Vocabulary
coefficient
equation
equivalent equations
formulainequality
multiplicative inverse
reciprocal
two-step equation254_258_C04SGR_895130.indd 254 12/31/09 4:06 PM