Distributive Property
For the first five problems, use the distributive property to simplify each expression.
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| 1) 5(x – 8)
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| 2) 7(2x – 5y + 9)
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| 3) 9(x – 3y – 1)
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| 4) Simplify.
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| 5) 8(2x – 5y – 8z)
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Simplifying Expressions
For the next five problems, simplify each expression by combining like terms.
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| 6) 6n – n
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| 7) 11x + 2y + 4x – y
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| 8) 13m + 5m + 3n – 18m
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| 9) 5.5d + 1.2a – 3d + 4.2a
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| 10) Simplify the expression.
Hint: Some terms could add to zero or cancel out.
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Solving One-Step Equations
For the next six problems, solve each equation by using opposite operations.
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| 11) x – 7 = 21
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| 12) m + 42 = 85
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| 13) 7 = a + 3.2
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| 14) 7x = 105
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| 15) Solve for “n.”
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| 16) 126 = 21b
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| 17) If 2a = 5 then 3a = ?
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Literal Equations and Formulas
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| 18) Solve Ohm's Law V = IR for R.
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| 19) Solve the area equation A = bh for b.
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| 20) Solve the literal equation i = prt for r. |
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21) An airplane traveled 1782 miles in 4 1/2 hours. What is the airplane's rate of speed? Solve the literal equation (d = rt) for the "rate" (r), and then solve the problem.
(a) What is the literal equation that focuses on the rate?
(b) What is the airplane's rate of speed for the trip? |
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Solving One-Step Inequalities
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| 23) Solve.
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| 24) Solve.
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Graphing Inequality Solutions
For the next two inequalities, choose the correct graph that represents the solution.
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| 26) Choose the correct graph for p > 6.
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| 27) Choose the correct graph for the given inequality.
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| 28) Give a counterexample to show that the closure property does not apply to division when deal with integers {... –3, –2, –1, 0, 1, 2, 3, ...}.
Click here to review the unit content explanation for Expressions, Variables, and Properties.
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Attachments |
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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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