Download M098 Carson Elementary and Intermediate Algebra 3e Sections 2.1 - 2.3.1-2 Review Objectives

M098
Carson Elementary and Intermediate Algebra 3e
Sections 2.1 - 2.3.1-2 Review
Objectives
1.
2.
Verify solutions to equations
Solve linear equations using the addition and multiplication principles.
Vocabulary
Equation
Solution
Identity
Contradiction
Formula
Perimeter
Area
Volume
Circumference
Radius
Diameter
Linear
equation
Two expressions set equal.
A number that makes an equation true when it replaces the variable in the equation.
An equation that has every real number as a solution (excluding any numbers that cause an
expression in the equation to be undefined).
An equation that has no real-number solution
An equation that describes a mathematical relationship.
The distance around a figure.
The total number of square units that fill a figure.
The total number of cubic units that fill a space.
The distance around a circle.
The distance from the center of a circle to any point on the circle.
The distance across a circle through its center.
An equation in which each variable term contains a single variable raised to an
exponent of 1.
Prior Knowledge
Verify solutions to an equation
1.
 8t  3  2t  15;
t  
6
5
1. No
Identify identities and contradictions. Simplify the expressions on each side of the equal sign. If the
simplified expressions are the same, the equation is an identity and the solution is all real numbers. If the
simplified expressions are not the same, the equation is a contradiction and there is no solution.
1.
5n  20  9n  8  4n  5
1. Contradiction. No solution
2.
22  m  6m  4m  4
2. Identity. All real numbers.
Identify linear equations
1. No
1.
2.
 1  w  5w
5t  2  7  3t  1
2
2. Yes
Use the Distributive Property to solve equations
(minus before parentheses)
1.
2.
3.
 15  2x  16  3x  9
55x  3  64x  2  12  15
 32x  5  8x  2  7  6x  5  4x  6
1. {40}
2. {0}
3. All real numbers
New Concepts
V Zabrocki 2010
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