Using Numerical and Algebraic Expressions and Equations Return to table of contents.

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Using Numerical and Algebraic Expressions and Equations Return to table of contents

The school cafeteria sold 225 chicken meals today. They sold twice the number of grilled chicken sandwiches than chicken tenders. How many of each were sold? 2c + c = 225 chicken sandwiche s chicke n tender s total meals c + 2c = 225 3c = c = 75 The cafeteria sold 150 grilled chicken sandwiches and 75 tenders.

Julie is matting a picture in a frame. Her frame is 9 inches wide and her picture is 7 inches wide. How much matting should she put on either side? 2m + 7 = m = m = 1 Julie needs 1 inches on each side both sides of the mat size of picture size of frame

George is buying video games online. The cost of the video is $30.00 per game and shipping is a flat fee of $7.00. He spent a total of $ How many games did he buy in all? Notice that the video games are "per game" so that means there could be many different amounts of games and therefore many different prices. This is shown by writing the amount for one game next to a variable to indicate any number of games. 30g cost of one video game number of games

George is buying video games online. The cost of the video is $30.00 per game and shipping is a flat fee of $7.00. He spent a total of $ How many games did he buy in all? Notice also that there is a specific amount that is charged no matter what, the flat fee. This will not change so it is the constant and it will be added (or subtracted) from the other part of the problem. 30g + 7 cost of one video game number of games the cost of the shipping

George is buying video games online. The cost of the video is $30.00 per game and shipping is a flat fee of $7.00. He spent a total of $ How many games did he buy in all? "Total" means equal so here is how to write the rest of the equation. 30g + 7 = 127 cost of one video game number of games the total amount the cost of the shipping

George is buying video games online. The cost of the video is $30.00 per game and shipping is a flat fee of $7.00. He spent a total of $ How many games did he buy in all? Now we can solve it. 30g + 7 = g = g = 4George bought 4 video games.

106Lorena has a garden and wants to put a gate to her fence directly in the middle of one side. The whole length of the fence is 24 feet. If the gate is 4 feet, how many feet should be on either side of the fence? Define your variable. 1212

107Lewis wants to go to the amusement park with his family. The cost is $12.00 for parking plus $27.00 per person to enter the park. Lewis and his family spent $147. Which equation shows this problem? A12p + 27 = 147 B12p + 27p = 147 C27p + 12 = 147 D39p = 147

108Lewis wants to go to the amusement park with his family. The cost is $12.00 for parking plus $27.00 per person to enter the park. Lewis and his family spent $147. How many people went to the amusement park WITH Lewis? Define the variable.

109Mary is saving up for a new bicycle that is $239. She has $68.00 already saved. If she wants to put away $9.00 per week, how many weeks will it take to save enough for her bicycle? Which equation represents the situation? A = 239 B9d + 68 = 239 C68d + 9 = 239 D77d = 239

110Mary is saving up for a new bicycle that is $239. She has $68.00 already saved. If she wants to put away $9.00 per week, how many weeks will it take to save enough for her bicycle? Define the variable.

111 You are selling t-shirts for $15 each as a fundraiser. You sold 17 less today then you did yesterday. Altogether you have raised $675. Define the variable then write and solve an equation to determine the number of t-shirts you sold today. Be prepared to show your equation!

112Rachel bought $12.53 worth of school supplies. She still needs to buy pens which are $2.49 per pack. She has a total of $20.00 to spend on school supplies. How many packs of pens can she buy? Define the variable then write and solve an equation to determine the number of packs of pens Rachel can buy. Be prepared to show your equation!

113 The length of a rectangle is 9 cm greater than its width and its perimeter is 82 cm. Define the variable then write and solve an equation to determine the width of the rectangle. Be prepared to show your equation!

114 The product of -4 and the sum of 7 more than a number is -96. Define the variable then write and solve an equation to determine the number. Be prepared to show your equation!

115 A magazine company has 2,100 more subscribers this year than last year. Their magazine sells for $182 per year. Their combined income from last year and this year is $2,566,200. Define the variable then write and solve an equation to determine the number of subscribers they had each year. Be prepared to show your equation! How many subscribers last year?

116 A magazine company has 2,100 more subscribers this year than last year. Their magazine sells for $182 per year. Their combined income from last year and this year is $2,566,200. Define the variable then write and solve an equation to determine the number of subscribers they had each year. Be prepared to show your equation! How many subscribers this year?

117 The perimeter of a hexagon is 13.2 cm. Define the variable then write and solve an equation to determine the length of a side of the hexagon. Be prepared to show your equation!