Modeling Simple Equations - Addition and Subtraction
Print out the “Chips for Hands-On Equations”. Cut out and use the red chips to represent positive numbers and the yellow ones for negative numbers. Solve the equations for the given variable in problems #1 through #4 using the chips. Check answers through substitution. State the variable with the answer.
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| 1) x + 14 = –5
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| 2) –7 + p = –9
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| 3) r – 6 = –8
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| 4) 15 = q – 3
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Simple Equations: Addition and Subtraction
Solve the equations in problems #5 through #8 using paper and pencil. Check answers through substitution. State the variable with the answer.
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| 5) y + 4.8 = 7.9
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| 6) t – 8.5 = 14
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| 7) –15 = 8 + j
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| 8) q – 6 = –40
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Modeling Simple Equations - Multiplication and Division
Now use the red and yellow chips to solve the equations for the given variable in problems #9 through #11. Check answers through substitution. State the variable with the answer.
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| 9) 5k = 45
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| 10) Solve.
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| 11) Solve.
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Simple Equations – Multiplication and Division
Solve the equations in problems #12 through #15 using paper and pencil. Check answers through substitution. State the variable with the answer.
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| 12) 5t = –120
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| 13) Solve.
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| 14) 21.76 = 3.2k
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| 15) Solve.
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| 16) Some parallelograms are rhombi. |
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| 17) Evaluate the expression, (4 + y)(3 – x), for x = 3 and y = 7.
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| 18) Write a simplified algebraic expression for the expression, “twice x”.
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| 19) Find the volume of the cylinder. Label answer correctly.
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| 20) Find the surface area for the cylinder shown in problem #19. Label answer correctly.
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| 22) In the formula, P = G – C, P represents profit, G represents Gross (total income brought in) and C represents Cost. How much profit would a business make, if its gross sales were $1,346,000 and its costs for supplies and employees was $759,000?
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| 23) Find the next three numbers in this sequence: 1, 3, 9, 27, ____, ____, ____
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| 24) Is the sequence in problem #23 linear or nonlinear?
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| 25) Print out the table. For the function, y = 2x + 5, find the corresponding y values for the given x values in the chart below. For each input value, write the input value, the function rule, and the output value.
Printable Table
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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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