Modeling Simple Equations through Addition and Subtraction
For problems #1 through #7, solve the equations for the given variable. Use cups and chips to model the equations. Print out the page of chips that is linked from the overview.
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| 1) x + 27 = 50
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| 2) z + 6.34 = 9.2
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| 3) 12 + p = 91
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| 4) 84 = q + 37
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| 5) y – 25 = 75
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| 6) Solve.
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| 7) 100 = t – 48.3
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| 8) To find the profit for a sales, subtract the cost from the gross (total income). The formula is P = G – C. Use this formula to solve the problems #8 through #10.
Find the profit for a fundraiser where the students grossed $589.25 but the cost of the items sold was $287.50.
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| 9) Find the cost if the gross income was $752.30 and the profit was $476.43.
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| 10) Find the gross income if the cost was $592.47 and the profit was $245.68.
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Modeling Simple Equations through Multiplication and Division
For problems #11 through #18, solve the equations for the given variable. Use cups and chips to model the equations.
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| 11) 12k = 144
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| 12) Solve.
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| 13) Solve.
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| 14) 500 = 25n
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| 15) Solve.
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| 16) 6.8m = 16.32
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| 17) Solve.
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| 18) Solve.
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| 19) Study the formula for determining the perimeter of a parallelogram where the length of the longer side is represented by b and the length of the shorter side is represented by a. Complete the formula by filling in the blank.
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| 20) Name two 3-D solids that have a circle as the base of the shape
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Which of the following shapes could be a top view, side view, or bottom view of the 3-D shape made of blocks? There may be more than one answer. Write the letters of the answers.
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| 21) Write the letters of the answers.
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| 22) Refer to the triangular prism to answer the following questions. Write the letter of the answer and then the answer.
a. How many triangular faces does this shape have?
b. How many rectangular faces does this shape have?
c. How many edges does this shape have?
d. How many vertices does this shape have?
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| 23) A cylinder has a volume of 2260.8 cu ft. The radius of the cylinder measures 6 ft. What is the height of the cylinder? Explain how you solved this problem.
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| 24) Click here to print out the chart. Find the output for y = 4k + 1 by substituting the input values (k) in the function rule, then calculating to find the output (y). State input number, the function rule, and the output value.
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| 25) The temperature is 10° F on a cold wintry day at noon, and then drops 14 degrees by midnight. What is the temperature at midnight? Use a negative number to express the answer.
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| 26) Write two descriptions of the line segment and then an equation.
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| 27) Fill in the blanks with positive, negative, or zero for these statements about the coordinate plane. State the letter and then the answer.
a. Ordered pairs in Quadrant I have a ______ x-coordinate and a ______y-coordinate.
b. Ordered pairs in Quadrant II have a ______ x-coordinate and a ______y-coordinate.
c. Ordered pairs in Quadrant III have a ______ x-coordinate and a ______y-coordinate.
d. Ordered pairs in Quadrant IV have a ______ x-coordinate and a ______ y-coordinate.
e. The y-coordinate for any ordered pair on the x-axis is ________________.
f. The x-coordinate for any ordered pair on the y-axis is ________________.
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| 28) Evaluate the following expression when x = 4.2, y = 2.3, and z = 6.
3x2 – yz
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| 29) 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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