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Math 8H

Math 8H. Standard Form And Word Problems Heath text, section 5.5. Algebra 1 Glencoe McGraw-Hill JoAnn Evans. Slope-Intercept Form of a Linear Equation: y = mx + b. Standard Form of a Linear Equation Ax + By = C.

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Math 8H

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  1. Math 8H Standard Form And Word Problems Heath text, section 5.5 Algebra 1 Glencoe McGraw-Hill JoAnn Evans

  2. Slope-Intercept Form of a Linear Equation: y = mx + b Standard Form of a Linear Equation Ax + By = C Remember that in Standard Form, both variable terms are on the left side of the equal sign and the constant term is on the right side. Another feature of the Standard Form is that all coefficients are integers.

  3. Candy corn costs $2 per pound at the candy store and M&Ms cost $3 per pound. With $30 to spend, what are the different amounts of the two candies that you can buy? Let x = # pounds of M & Ms Let y = # pounds of candy corn Let 3x = VALUE of the M & Ms Let 2y = VALUE of the candy corn = + Value of the M & Ms Value of the candy corn Total Cost 3x + 2y = 30

  4. Candy corn costs $2 per pound at the candy store and M&Ms cost $3 per pound. With $30 to spend, what are the different amounts of the two candies that you can buy? 3x + 2y = 30 If you bought 6lbs of Candy Corn how many pound of M&Ms did you buy?

  5. Candy corn costs $2 per pound at the candy store and M&Ms cost $3 per pound. With $30 to spend, what are the different amounts of the two candies that you can buy? 3x + 2y = 30 If you bought 6lbs of Candy Corn how many pound of M&Ms did you buy? 3x + 2(6) = 30; 3x + 12 = 30; 3x = 18; x = 3

  6. Suppose you had $6.00 to buy bananas and apples. Bananas cost $0.49 per pound and apples cost $0.34 per pound. Write a linear equation that represents the different amounts of fruit you could buy. Let x = weight of bananas Let y = weight of apples Let 49x = VALUE of bananas Let 34y = VALUE of apples Value of bananas Value of apples + = Total price 49x + 34y = 600

  7. If you buy 10 pounds of bananas, how many pounds of apples would you be able to buy?

  8. If you buy 10 pounds of bananas, how many pounds of apples would you be able to buy? 49x + 34y = 600 49(10) + 34y = 600 490 + 34y = 600 -490 -490 34y = 110 y 3.2 lb of apples

  9. You are running for class president and have $48 to spend on publicity for your campaign. It costs $2 to make a campaign button and $1.20 to make a poster. Write an equation that represents the different numbers of buttons, x, and posters, y, that you could make. Let x = # of buttons Let y = # posters Let 2x = VALUE of the buttons Let 1.2y = VALUE of the posters + = Value of buttons Value of posters Total Cost 2x + 1.2y = 48 20x + 12y = 480 5x + 3y = 120

  10. If you make 12 posters how many buttons can you make? 5x + 3y = 120

  11. If you make 12 posters how many buttons can you make? 5x + 3(12) = 120 5x + 36 = 120 5x = 84 X = 16.8

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