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Download M098 Carson Elementary and Intermediate Algebra 3e Sections 2.1 - 2.3.1-2 Review Objectives
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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 4n 5 1. Contradiction. No solution 2. 22 m 6m 4m 4 2. Identity. All real numbers. Identify linear equations 1. No 1. 2. 1 w 5w 5t 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 55x 3 64x 2 12 15 32x 5 8x 2 7 6x 5 4x 6 1. {40} 2. {0} 3. All real numbers New Concepts V Zabrocki 2010 page 1