MATHCP Algebra I  - Unit 02: Expressions, Equations, and Inequalities
Some activities may require making graphs on paper.  Click here to view and print graph paper, as needed.

Distributive Property

For the first five problems, use the distributive property to simplify each expression.

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.

6) 6nn

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7) 11x + 2y + 4xy

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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.

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Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the worksheet.

Solving One-Step Equations

For the next six problems, solve each equation by using opposite operations.

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) Leah helped raise money for her trip to Africa by bowling in a bowl-a-thon.  Leah is to receive 0.35 for each pin she knocks down. Let m represent the number of pins knocked down.  If she raised a total of $29.05, how many pins did she knock down?  Write the problem as an equation and solve.

18) If 2a = 5 then 3a = ?

Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the worksheet.

Literal Equations and Formulas

19) Solve Ohm's Law V = IR for R.

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20) Solve the area equation A = bh for b.

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21) Solve the literal equation i = prt for r.

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22)

An airplane traveled 1782 miles in 4 1/2 hours.  What is the airplane's rate of speed?   Solve the literal equation (d = r t) for the "quantity of interest" (r), and then solve the problem. 

(a)  What is the literal equation that focuses on the quantity of interest? 
(b)  What is the airplane's rate of speed for the trip?


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Solving One-Step Inequalities

23) Solve n – 6 < 13. 

24) Solve 33 < y + 8. 

Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the worksheet.

25) Solve.

26) Solve.  

27) Solve.

28) Solve 6t < 78. 

Extra Practice:  Check with you instructor to see if s/he would like for you to do some extra practice problems.  Click here to view the worksheet.

Graphing Inequality Solutions

For the next two inequalities, choose the correct graph that represents the solution.

29) Choose the correct graph for p > 6.

30) Choose the correct graph for the given inequality.

Review

31) For the four questions below, answer them in the order given choosing from:  addition, subtraction, multiplication, or division.

Click here to review the unit content explanation for Expressions, Variables, and Properties.

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32)

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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