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Algebra Skills

Mathematics, Grade 8

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• An algebraic expression is a mathematical phrase consisting of variables, numbers, and operations. • Solve for a variable in terms of other variables. • Algebraic expressions are used to write formulas that show relationships between quantities. • Find the area of a triangle with a base of 5 inches and height of 8 inches. • To evaluate an algebraic expression, substitute the given numbers for the variables and solve to find the value for the formula. The area of a triangle is one half its base times its height. A = 20 in 2 Solve for y A = b • h 1 2 A = • 5 • 8 1 2 A = • 40 1 2 x -8 -4 0 4 8 4 3 2 1 0 y x y -5 -4 -3 -2 -1 -9 -8 -7 -6 1 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 0 x y -5 -4 -3 -2 -1 -9 -8 -7 -6 1 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 0 x + 4y = 8 4y = – x + 8 4y = -x + 8 4 4 4 – x – x A = b • h 1 2 y = x + 2 1 4 y = x + 2 1 4 8 in. 5 in. Algebraic Expressions Solving Equations Graphing a Solution • Equations and inequalities are used to solve many real-world problems. • In order to make a profit, revenue (R) has to be greater than cost (C). A video game manufacturer must spend $12,500 for research and development and $15 per game to produce. How many games would the manufacturer have to sell at $40 per game to make a profit? Solving Inequalities 200 300 400 500 600 700 x 500 > R C > > > 40x 12,500 + 15x 25x 12,500 > 25x 12,500 – 15x – 15x 25 25 - - Example: Example: © Copyright NewPath Learning. All Rights Reserved. 93-4801 www.newpathlearning.com Algebra Skills

\|xiBAHBDy01515kzU • An algebraic expression is • Solve for a variable in terms of other variables. • Algebraic expressions are used to • Find the area of a triangle with a base of 5 inches and height of 8 inches. • To evaluate an algebraic expression, substitute the given numbers for the variables and solve to find the value for the formula. A = 20 in 2 Solve for y A = b • h 1 2 A = • 5 • 8 1 2 A = • 40 1 2 x y x y -5 -4 -3 -2 -1 -9 -8 -7 -6 1 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9 0 x + 4y = 8 4y = – x + 8 4y = -x + 8 4 4 4 – x – x y = x + 2 1 4 y = x + 2 1 4 8 in. 5 in. Algebraic Expressions Solving Equations Graphing a Solution • Equations and inequalities are used to solve many real-world problems. • In order to make a profit, revenue (R) has to be greater than cost (C). A video game manufacturer must spend $12,500 for research and development and $15 per game to produce. How many games would the manufacturer have to sell at $40 per game to make a profit? Solving Inequalities 200 300 400 500 600 700 x 500 > R C > > > 40x 12,500 + 15x 25x 12,500 > – 15x – 15x - - Example: The area of a triangle is one half its base times its height. A = b • h 1 2 Example: Key Vocabulary Terms • algebraic expression • area • equation • greater than (>) • inequality • operation • solution • variable . . © Copyright NewPath Learning. All Rights Reserved. 93-4801 www.newpathlearning.com Algebra Skills

Algebra Skills

Mathematics, Grade 8

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