Variable Expressions
Evaluate the expressions in problems #1 through #5 for x = 3, y = 7, z = –2.
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| 1) x + z
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| 2) y – x
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| 3) 4z
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| 4) y + x2
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| 5) Solve.
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| 6) Tony borrowed $5000 from the bank at 6% interest for 3 years. What is the amount of simple interest that would be calculated for this loan?
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| 7) Julie’s Visa credit card charges 15% interest annually. If she has a balance of $1459, how much interest will she be charged for one month? Round to nearest cent.
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| 8) Allen traveled 500 miles in 8 hours. What was his average rate of speed? Label answer correctly. (distance = rate times time) (d=rt)
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Writing Algebraic Expressions
For problems #9 through #15, write a simplified algebraic expression for each phrase or expression.
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| 9) The sum of 15 and x.
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| 10) 12 more than x.
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| 11) 6 less than x.
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| 12) The product of 12 and x.
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| 13) The quotient of x and 3.
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| 14) x + x + x + x + x
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| 15) 5 less than the product of x and 8.
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| 16) All quadrilaterals with four congruent sides are squares.
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| 17) If a can of soup has a diameter of 4 inches and a height of 5 inches, what are the dimensions of the label that is wrapped around the can? Assume no overlapping.
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| 18) Find the area of the composite shape. Label answer correctly.
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| 19) Look at yourself in a full length mirror. What kind of symmetry do you see?
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| 20) Look around your home, especially outdoors. Find at least one type of line symmetry and one type of rotational symmetry. Describe them stating the object, the type of symmetry, and why you identified it as this type of symmetry. Isn’t it amazing all the mathematics around us?
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| 21) Draw a rectangular prism using isometric dot paper given. Refer to the given diagram, but use different dimensions for your prism. State the dimensions of the prism, and then state its volume.
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| 22) If it is 90 feet from base to base on a baseball field, how far is the throw from home plate to second base? Round answer to nearest hundredth and label answer correctly.
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| 23) What is the scale factor that exists between the corresponding sides of these similar triangles? State the length of the base of the yellow triangle and the length of the base of the green triangle. Explain how to determine the scale factor and state the scale factor.
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| 24) Use the diagram for problem #23 to answer this question. Is the scale factor for the heights of the two triangles the same as the scale factor for two corresponding sides of the triangle? Explain your answer.
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| 25) Determine the length of x. Label answer correctly.
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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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