Questions

1) Select the algebraic expression represented by the algebra tiles.

a.) –5x – 3x

b.) 5x – 3x

c.) –5x + 3x

d.) 5x + 3x

2) Collect the like terms in the previous problem, and then select the correct representation for the simplified expression.

a.) –8x

b.) 8x

c.) –2x

d.) 2x

3) Select the algebraic expression represented by the algebra tiles.

a.) –2x + 5 – 3x – 3

b.) 2x + 5 + 3x + 3

c.) 2x + 5 – 3x – 3

d.) –2x + 5 – 3x + 3

4) Collect the like terms in the previous problem by removing the “zero pairs” and combining the numeric values. Select the correct representation for the simplified expression.

a.) –5x – 2

b.) x – 2

c.) 5x + 8

d.) –x + 2

5) Which model is correctly represented by the algebraic expression?

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6) Simplify the following polynomial expression by collecting like terms. State the letter of the correct answer.

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7) Simplify the following polynomial expression by collecting like terms. State the letter of the correct answer.

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8) Simplify the following polynomial expression by collecting like terms. State the letter of the correct answer.

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9) What expression can be written for the perimeter of the given rectangle? Make sure to simplify and collect like terms. (Note: Perimeter = 2l + 2w)

a.) 14a + 3

b.) 9a + 3

c.) 18a + 6

d.) 14a + 6

10) Which math statement is represented by the algebra tiles? State the letter of the correct answer.

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11) Simplify the expression. State the letter of the simplified expression.

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12) Simplify the expression. State the letter of the simplified expression.

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13) What expression represents the area of the given rectangle? State the letter of the correct answer.

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14) Which set of terms has like terms? State the letters of the correct answer.

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15) Simplify the expression. State the letter of the correct answer.

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16) Simplify the expression. State the letter of the correct answer.

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17) The area of a parallelogram is found by multiplying the base times the height. What expression represents the area of the given parallelogram?

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18) Simplify the following expression by collecting like terms: 9(b + 7) + 5b

a.) 21b

b.) 14b + 63

c.) 14b + 7

d.) 9b + 12

19) Simplify the following expression by collecting like terms: 6(x – y) + 3(3x + 5y)

a.) 15x – y

b.) 15x + 9y

c.) 17xy

d.) 9x – y

20) Simplify the expression by collecting like terms. State the letter of the correct answer.

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21) Which algebraic expression is represented by the model? State the letter of the correct answer.

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22) Collect the like terms in the previous problem by removing the “zero pairs” and combining the numeric values. State the letter of the correct representation for the simplified expression.

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23) Simplify the polynomial expression by collecting like terms. State the letter of the correct answer.

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24) Solve the equation or “y”: 7y – 8 = 41

a.) y = 7

b.) y = –5

c.) y = 5

d.) y = –7

25) Solve the equation for “x”: 8x + 7 = 111

a.) x = –13

b.) x = –8

c.) x = 15

d.) x = 13

26) Solve the equation for “y”.

a.) y = –8

b.) y = 4

c.) y = –4

d.) y = 8

27) Solve the equation for “d”: 8d + 17 = 5d – 52

a.) d = 12

b.) d = 23

c.) d = –69

d.) d = –23

28) Solve the equation for “k”: –7k + 23 = –3k – 29

a.) k = –13

b.) k= 1.5

c.) k = 13

d.) k = –1.5

29) Brooke attended a Shoot-A-Thon for the Lady Blue Devils' basketball team. Her dad pledged 10 cents for every shot she made plus a donation of $5.50. If her dad paid a total of $11.70, how many shots did Brooke make? What equation can be used to solve this problem?

a.) 0.10s = 11.70

b.) 5.50s = 11.70

c.) 0.10s + 5.50 = 11.70

d.) 0.10s – 5.50 = 11.70

30) It costs $8.50 to park a vehicle at the Wild Rapids Water Park. The admission price to the park is $27.50 per person. If a group in one vehicle spends $228.50 to park and enter the park, how many people attended? Write an equation, and then solve.

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31) Darren has a board that measures 48 inches in length. He cuts the board into three pieces. Two of the pieces are 6 inches shorter than the third piece. Write an equation that could be used to solve the problem. See the model below to help visualize the problem.

a.) n + (n + 6) + (n + 6) = 48

b.) n + n – 6 = 48

c.) n – (n – 6) – (n – 6) = 48

d.) n + (n – 6) + (n – 6) = 48

32) Collect the like terms in the previous problem, and then solve for “n”. What is the value of n and how long is each of the three pieces of wood?

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33) Amy and Ben are coworkers at a local company. Ben earns $8.25 more per hour than Amy. Together they earn $51.75 per hour. How much money per hour does each of them earn? (a) If “m” represents the amount of money Amy earns per hour, what equation could be used to solve this problem? (b) How much does Amy earn per hour? (c) How much does Ben earn per hour?

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