# Essentials. Week by. Week. Algebra Alley

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1 Week by Week MATHEMATICS Essentials Grade Algebra Alley A movie ticket costs \$ today. Inflation is expected to grow by four percent a year for the next several years. If n represents the current cost of the ticket, t, the time in years, and r, the rate of inflation, use the formula, C n ( r) t to predict the cost (C) of the ticket, if this inflation rate continues (a) for years (b) for 0 years. Look through the almanac for data over time. Make a scatterplot of the data and approximate a line of best fit. Use the line to make a prediction about the data. (Review) (.0,.0) What s The Problem? In the final four digits of a license plate, the sum of the first two equals the sum of the last two. Also, the sum of the first and last is twice the sum of the middle two, and the first two form a two digit number that is twice that formed by the last two. The number does not contain any 0 s. What are the final four digits in order? From Mathematics Teacher, February 99 (.0) Measurement Wrap Up Collect a week's worth of newspapers. Stack, measure and find the volume of the newspapers. What would be the volume of a year s worth of newspaper? Mark off an area equivalent in volume in your classroom. Make a table showing the accumulation of newspapers from to 0 years. Write an equation with two variables representing the function. Graph the function. Make your data count! Write an article to encourage recycling of newspapers. Support your position. Explain how to change 0. to a common fraction. (Review) (Review,.0a) 6

2 Keeping Skills Sharp. Write three fractions equivalent to.. Find x: x Write answers here:.... Write % as a ratio % of.66. An angle greater than 90 and less than 0 is called.. Find the median and mean:,,,, 9,, ( 9) Mental Math Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once.

3 Algebra Alley (a) \$. (\$.00.0 ) (b) \$.0 (\$ ) What s the Problem? Let n. 0n. ( n. ) 9n n 9 Answers will vary. Measurement Wrap Up Answers will vary. Mental Math Answer Key. Write the ratio : in other ways. Grade Keeping Skills Sharp This section provides an opportunity for sharpening students mental computation. Mental Math ,, 0. : obtuse. median, mean to, 6:, :, :, etc.. Write as an improper fraction:. Write 9 as a mixed number.. cm m. Write lb. oz. in ounces. 6. Write 0% as a fraction.. Write as a decimal: %. 9. Solve for t: t. 0. What percent of is 6? m. 9 ounces % 66

4 Week by Week MATHEMATICS Essentials Grade Algebra Alley Use two different colored number cubes. Identify one of the cubes as xvalues and the other as the yvalues. Roll the number cubes and create an ordered pair. Graph the point. Roll the cubes again and graph the point. What is the slope of the line determined by the two points? Wtite the equation of this line. (.0c,.0) What s The Problem? Jack weighs of his weight plus 0 pounds. Write an equation to represent this situation and find w, Jack s weight. The cost of a halfgallon of juice drink in stores in Raleigh is: \$. //// \$.00 // \$.9 /// \$.0 //// Larry said the mean price was \$.00 and the median about \$.9. Curley says the mean price is about \$.99 and the median is \$.9. Moe says the mean price is about \$6.96 and there is no median. What mistakes did they make and what are the correct values for the mean and median? (.0) (.0) Which is the best buy? Why? Jolly Ranchers oz. for \$0.6 oz. for \$ oz. for \$.9 0 oz. for \$. (.0) Measurement Wrap Up On a map, three towns lie in a straight line. Abbeyville is miles from Beantown. On the map this distance is cm. The distance from Abbeyville to Clarkton is cm on the map. If Beantown is between Abbeyville and Clarkton, how far, in miles, is it from Beantown to Clarkton? (Review) 6

5 Keeping Skills Sharp. What is the probability of choosing a vowel from the word MATHEMATICS?. Cali bought a sweater priced at \$60. If the sales tax is 9%, what is the total purchase price of the sweater?. Two angles whose measures have a sum of 0 are called.. 6. Find the amount you save when you buy a \$0 bicycle on sale for % off. 6. Find the interest: \$000,.%, year.. Write % as a fraction.. Express as a unit rate million people in 00 square miles. 9. Solve the proportion: 9 N 0. On a scale drawing centimeter represents meters. What length on the drawing should be used to represent. meters? Write answers here: Mental Math Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once.

6 Algebra Alley Answers will vary. What s the Problem? 00 lbs w w 0 Measurement Wrap Up 9. miles Answer Key 6 oz. for \$.9 is the least expensive per ounce Larry forgot about the stores and just used the four prices. Curley got the mean and median right Moe divided the total costs of stores by instead of and because there was an even number of values could not find the median. Grade Keeping Skills Sharp.. \$6.0. supplementary.. \$.0 6. \$ ,00 people in one square mile 9. N 0..6 centimeters Mental Math..6 x 00 This section provides an opportunity for sharpening students mental computation. Mental Math. Simplify.? 0. % of. Find the perimeter of a garden that measures feet by feet. 6. How many minutes are in a day?.?. Which is greater: or? x feet 6.,0 minutes

7 Week by Week MATHEMATICS Essentials Grade Algebra Alley Pam and Ellen are selling lemonade for a project at the local recreation center. They have calculated the cost of a cup of lemonade to be. They plan to make 0 cups of lemonade. If they sell each cup for 0, how much profit will they make? How many cups do they need to sell to make at least \$.00 profit? Write an algebraic equation that will reflect this situation and solve it.. Watch a basketball game and collect data on the number of shots attempted and the number of shots made (exclude foul shots).. Put the data into a table.. Make a scatter plot using the data.. Does there appear to be a relationship between the number of shots attempted and the number of shots made? (.0) What s The Problem? Jenna has \$6.00 to spend. She found a purse for \$.9, a shirt for \$.00 and a pair of shoes for \$.0. She must pay 6% sales tax on her purchases. Which items could she buy if she wants to spend as much of the \$6.00 as possible? (She may buy more than one of an item if she chooses.) (.0) (.0) Keisha is conditioning for the track team. On the first day, she ran laps around the track. The second day she ran 6 laps. The third day she ran, and on the fourth day she ran. To continue this pattern, how many laps should she run on the seventh day? On which day will she reach her goal of 0 laps? How many total laps will she have run by then? (.0) Geometry Wrap Up Given a circle and a square, what is the maximum number of points of intersection the two polygons can have?... the minimum? (.0) 0

8 Keeping Skills Sharp. ( ). Find the perimeter of a regular octagon with sides. meters.. Find the circumference of a circle with diameter of 6. cm. Write answers here:... If a and x, then (a x)(x 6).. Simplify:.. 6. Solve for f: f. Solve for q: q ( ).. Find the surface area of a cube with edges of cm. 9. ounces pounds 0. An angle less than 90 is called Mental Math Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once.

9 Answer Key Algebra Alley 0 cups will give them a profit of \$. They must sell cups to make \$ profit. If x the no. of cups sold, then the equation: 0x x 00 Grade Keeping Skills Sharp What s the Problem? Two purses and a pair of shoes; \$6.0 Answers will vary. th day, 6 laps; 9th day she will reach 0 laps. Total laps, including the 0, is 6 Geometry Wrap Up maximum:, minimum: meters. about. cm f 0. q. 0 cm 9. pounds 0. acute Mental Math. cups pints. 6. Write 0,000 in scientific notation.. Write.0 0 in standard form.. If x, then x This section provides an opportunity for sharpening students mental computation. Mental Math 6. The point located at (, ) is in which quadrant?. Find a solution for y x.. What number increased by eight is? 9. Write as a mixed number: 9.. pints. 6.. x 0. 0, II. Some possible answers:. (, ) (, 0) (, ) ,000

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