Essentials. Week by. Week. Algebra Alley

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1 Week by Week MATHEMATICS Essentials 8 David has three times as many football cards as hockey cards, five times as many basketball cards as hockey cards and four times as many baseball cards as football cards. If he has a total of 0 cards, how many cards of each type does he have? (.0) What s The Problem? A month with five Wednesdays could begin on what day(s)? Write the title and label the horizontal and vertical axes for the following scatterplot. Be sure your answer is logical (.0) (.0,.0) Mathematically Speaking The Smith family will travel between 00 and 600 miles during their trip to the Outer Banks. Their van averages miles per gallon of gasoline. If the cost of gasoline ranges from $.0 to $. per gallon, how much could they expect to spend on gasoline during their trip? Explain how you determined your answer. Geometry Wrap Up Tell how you could use the Pythagorean Theorem to determine whether this parallelogram is a rectangle. 0 cm cm (.0) cm (.0) 8

2 Keeping Skills Sharp. Classify the following triangle as acute, obtuse or right.. Solve for m: 9 m. Write a verbal phrase for the following algebraic expression: (x ). Replace? with >, <, or : x?. Rewrite using the distributive property. 6. Solve for m: m. 8.. Determine the value of (9 n) if n. 8. Write sixteen billion in scientific notation. 9. Write a as a product of the same factor. 0. Find the greatest common factor for 8, 0, and. Write answers here: Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once. 8

3 Answer Key 0 hockey, 60 football, 00 basketball, 0 baseball cards What s the Problem? Monday, Tuesday or Wednesday Gas consumption is between 0 and gallons. At the lowest price and for 00 miles, it will cost $.00. At the higher price and for 600 miles the cost is $.08. Explanations will vary. Geometry WrapUp If the square of the measure of the longest side of a triangle is equal to the sum of the squares of the measures of the other two sides, then the triangle is a right triangle. Since 0, both triangles are right triangles and the parallelogram is a rectangle. 8 Keeping Skills Sharp. obtuse. m. two times the sum of a number and three. >. 8(6 ) 6. m Answers will vary. 9. a a a a a Write 0. as a fraction.. Solve for x: x This section provides an opportunity for sharpening students mental computation.. Find the range for the following numbers: 6, 6,, 8, 0,. Solve for x: x > 6. Write the prime factorization of.. Will the product of ( 6) ( ) () ( 6) be positive or negative? 8. Give the value of the expression, x, when x 9. What is the additive inverse of 0? 0. Write as an algebraic equation: Six less than a number is two.. 0.,.. 0. x > 6.. negative x 6 8

4 Week by Week MATHEMATICS Essentials 9 Make a table of values and graph each function. Is the function linear or nonlinear? a) y x b) f(x) x What s The Problem? (.0) John has an aquarium that is 8" x 8" x ". Jane has a cylindrical aquarium. It has a diameter of " and is " high. Which aquarium is larger and by how much? Toss a coin 0 times. After each tosses, record data in the table below. Graph the points. Does the set of points appear linear? What would you estimate the slope of the line to be? Why does this make sense? Number of Tosses Number of Heads (.0,.0c) Write a short paragraph telling all you know about the function f(x) x (Review) Geometry Wrap Up A kite string is held at a point on the ground that is 0 feet from a point directly below the kite. The kite string (from kite to ground) is 0 feet long. How high is the kite? (.0) (.0,.0) 8

5 Keeping Skills Sharp. Simplify: 8. Solve for S:. S 6.6. Solve for R: R. Write the 8th term in the following sequence:,,, 8, 6,. How many square feet are in,8 square inches? 6. Express 9 6 as a decimal.. Evaluate: b if b 8. Complete the sequence:,, 6, 0, 6,,, 9. Find the 8% tax on $ () x. 8 (6)? Write answers here: Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once. 86

6 Answer Key Tables will vary. a) nonlinear, b) linear Answers will vary. The points should cluster around a line with a slope of. That is the probability of tossing heads. Geometry WrapUp 90 feet What s the Problem? John s aquarium is larger by about,8 cubic inches. 9 Keeping Skills Sharp square feet ,, $ This section provides an opportunity for sharpening students mental computation.. What is the only even prime number?. Write in standard form:.08 0?. ( ) ( ) ( ). Solve for y: y Find the area of a square with a side measuring centimeters. 6.. pounds ounces. If y, determine the value of y. 8. Write. 0 in standard form. 9. (8 ) ( ) y. 6 cm 6. 0 ounces

7 Week by Week MATHEMATICS Essentials 0 Triangle ABC is a right triangle with right angle at C. If the ratio of angle B to angle A is :, write and solve an equation to find the measures of angles A and B. Comment on the following statement: In July, 00, over 9% of drivers had eaten bread or bread products within hours of their involvement in an automobile accident. (.0) What s The Problem? The average of numbers is 8. What would the 6th number have to be to bring the average up to 0? Anna s average in math is 9. She wants to raise her average to 9 so she will make an A. She is taking a test on Friday. What score will she have to make on the test to raise her average to 9? (.0) Geometry Wrap Up Sugar cubes have been stacked to form one large cube. The outside of the cube has been colored with red food coloring.. How many individual sugar cubes are painted on only three sides?. How many individual sugar cubes are painted on all six sides?. How many individual sugar cubes are painted on no sides? (.0). How many individual sugar cubes are painted on exactly two sides? Bob had hits in 6 times at bat during a Little League season. Sally had hits in times at bat. Who is the better hitter? Explain why. (.0) (.0) 88

8 Keeping Skills Sharp. Simplify: (a ) ( a) 0. Solve for a : a.. Find the perimeter of the rectangle: l 9. meters, w.8 meters. Which of the following is a prime number: 6, 8, 9,,?. What is 8 9 to the nearest whole number? 0 6. Solve for r: r ( 6) ( ) 8..? 9. If four computers are needed for every seven students, how many computers are needed for 80 students? 0. Evaluate if m, x, and y : m y x. Write answers here: Directions to Students: Write your answers as the questions are called out. Each question will be repeated only once. 89

9 Answer Key x x 90 m B m A What s the Problem? th number There is not enough information to answer the part about Anna's average. You need to know how many tests she had taken before Friday s test. Geometry WrapUp. 8 cubes. none. cube. cubes Based on the given information, Bob has the higher percentage of hits (80.%). Answers will vary. 0 Keeping Skills Sharp. a. 6. P 0. m x This section provides an opportunity for sharpening students mental computation.. Estimate $.0 $8.0.. Solve for x: x.. List the first three multiples of greater than zero. 6. In what quadrant is the ordered pair (, 6)?. Give the perimeter of a triangle with the sides measuring 6m, m, and m qts pints.. $0.00. x..,, 6 6. Quadrant IV. m