Exploring Algebra Through Diagrams
For the first eight problems, write an algebraic expression to describe the lengths of the line segments in two ways, and then write an equation.
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| 1) Write two algebraic descriptions of the line segment, and then write an equation
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| 2) Write two algebraic descriptions of the line segment, and then write an equation.
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| 3) Write two algebraic descriptions of the line segment, and then write an equation.
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| 4) Write two algebraic descriptions of the line segment, and then write an equation.
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| 5) Write two algebraic descriptions of the line segment, and then write an equation.
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| 6) Write two algebraic descriptions of the line segment, and then write an equation.
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| 7) Write two algebraic descriptions of the line segment, and then write an equation.
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| 8) Write two algebraic descriptions of the line segment, and then write an equation
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| In the next four problems, a scenario is described in both words and a drawing. Read the words carefully and study the drawing. Write an equation that fits the scenario. |
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| 9) Robin made a cast of Bigfoot’s imprint. Two of Bigfoot’s imprints plus 15 inches was the same length as five of Robin’s 10-inch foot.
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| 10) A bungee jump has a cord that is 40 feet long at rest. It will stretch another 60 feet at its furthest reach when someone jumps. To be safe, the maximum stretch of the cord and jumper ( j ) needs to be “y” feet above the mat. The jumping platform is 120 feet above the mat.
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| 11) The distance from Lake Oswego to Jinwoo’s house is 440 miles. She drove for three (3) hours at 60 miles per hour and two (2) hours at “y” miles per hour. She still needed to travel 150 miles to reach the lake.
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| 12) Alicia is 90 centimeters tall. Her father is twice her height, less 3 centimeters.
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How much does a cube weigh?
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| 13) Determine how much a cube weighs on the scales below. Remove the same amount of types of objects from each side of the scale. How many balls equal one cube?
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| 14) Determine how much a cylinder weighs on the scales below. Remove the same amount of types of objects from each side of the scale. One cylinder equals how many balls?
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| 15) The two scales shown below are balanced. Each of the different objects weighs the same amount. In this diagram, one cube equals the weight of how many nails? Explain how you know.
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| 16) Complete the formula for determining the perimeter of a triangle where the length of its sides are represented with “a”, “b”, and “c”.
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| 17) Study the formula for determining the perimeter of a square where the length of one side is represented by “s”, and then complete the statement to write the formula another way.
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| 18) Find the area of the of circle sector. Label the answer correctly. Explain how you solved this problem.
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| 19) How much fencing is needed to encircle a circular flower garden that has a diameter of 12 feet? Round to nearest whole foot and label answer.
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| 20) Fill in the blanks with the correct name of the given shape. State the letter and the name of the shape.
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| 21) Find the volume of the soda can if the radius is 1.25 inches and the height is 5 inches. Round to the nearest whole cubic inch and label answer.
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| 22) Find the surface area of the cube and label the answer correctly.
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| 23) Complete this statement. 5(n + 3) = 5n + _______
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| 24) Evaluate the expression when a = 15 and b = 18.
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| 25) Print out the picture below and then draw a trapezoid that is a reflection of the original trapezoid over the “x-axis”. (a) Write the coordinates of points A, B, C, and D of the original trapezoid. (b) Write the coordinates of points A, B, C, and D of the reflected trapezoid. (c) Examine each set of coordinates for both trapezoids. What is the same about the coordinates of the original trapezoid and the reflected trapezoid? (d) What is different about the coordinates of the original trapezoid and the reflected trapezoid?
Printable Grid
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| 26) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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