Questions

1) Fill in the missing numbers to complete the pattern. Select the missing numbers in the order that they occur in the pattern.

a.) 8, –4, –12

b.) –8, –4, 12

c.) –12, 8, –4

d.) –8, –4, –12

2) Fill in the missing numbers to complete the pattern. Select the missing numbers in the order that they occur in the pattern.

a.) 16, 8, 24

b.) –24, –8, –16

c.) 24, –8, –16

d.) –24, 8, 16

3) Which of the rules is correct when multiplying integers with the different signs?

a.) When multiplying integers with different signs, multiply and the answer will be positive.

b.) When multiplying integers with different signs, multiply and the answer will be negative.

c.) When multiplying integers with different signs, multiply and the answer will be either positive or negative.

d.) None of the above is correct.

4) What are two related division statements for 9 x (–6) = –54? State the letter of the correct answer.

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5) Which of the rules is correct when dividing integers with the same signs?

a.) When dividing integers with same signs, divide and the answer will be positive.

b.) When dividing integers with same signs, divide and the answer will be negative.

c.) When dividing integers with same signs, divide and the answer will be either positive or negative.

d.) None of the above is correct.

6) What is the product?

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7) What is the product?

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8) What is the quotient?

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9) What is the quotient?

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10) What is the quotient?

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11) Evaluate.

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12) From noon until 8:00 PM, the temperature change was –20 degrees Celsius. What was the average rate of change in degrees per hour? State the letter of the correct answer.

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13) What are the directions and the ordered pair for graphing point S in the given coordinate plane beginning at the origin?

a.) Count 5 units to the right and 1 unit down. S(5, –1

b.) Count 5 units to the left and1 unit down. S(–5, –1)

c.) Count 5 units to the right and 1 unit up. S(5, 1)

d.) Count 5 units to the left and 1 unit up. S(–5, 1)

14) What are the ordered pairs for points B and D?

a.) B (–4, 4), D (4, 4)

b.) B (–4, –4), D (4, –4)

c.) B (–4, 4), D (4, 4)

d.) B (–4, 4), D (4, –4)

15) Which pair of order pairs do NOT identify the points in the coordinate plane correctly?

a.) E(–2, –4), G(2, 0)

b.) D(–1, 2), G(2, 0)

c.) F(–5, –3), J(0,–6)

d.) H(0, –3), J(–6, 0)

16) Consider an isosceles triangle: (0, 3), (2, –2), and (x,y). What are the coordinates of a point that completes the shape and is located in Quadrant III?

a.) (–2, 2)

b.) (–3, –3)

c.) (–2, –2)

d.) (–3, –2)

17) Consider a rectangle: (3, 1), (3, –3), (–3, –3), and (x,y). What are the coordinates of a point that completes the shape and is located in Quadrant II?

a.) (4, 1)

b.) (–4, 4)

c.) (–4, –3)

d.) (–4, 1)

18) Which transformation is shown?

a.) translation

b.) reflection

c.) rotation

d.) dilation

19) Which transformation is shown?

a.) translation

b.) reflection

c.) rotation

d.) dilation

20) Which transformation is shown?

a.) translation

b.) reflection

c.) rotation

d.) dilation

21) Describe the translation of parallelogram EFGH to parallelogram E'F'G'H'. Select the correct answer.

a.) 5 units to the right, 6 units down

b.) 6 units to the right, 6 units up

c.) 6 units to the left, 6 units down

d.) 5 units to the left, 5 units up

22) Which statement denotes the translation from figure A to figure A’ ?

a.) (x, y) ==> (x – 5, y + 6)

b.) (x, y) ==> (x – 5, y – 6)

c.) (x, y) ==> (x + 6, y – 5)

d.) (x, y) ==> (x – 6, y – 5)

23) What kind of symmetry does the kite have?

a.) Horizontal symmetry

b.) Vertical symmetry

c.) Diagonal symmetry

d.) The kite does not display any symmetry.

24) Does the figure of the two circular shapes in the coordinate plane denote a reflection? Please explain why or why not.

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25) Draw segment A’B’ so that it is reflected over the y-axis. (a) What are the coordinates for A’ and B’? (Note: You can right-click the picture, and then print it to have a paper copy of the figure.)

a.) A'(4, 4), B'(1, –3)

b.) A'(–4, 4), B'(–1, –3)

c.) A'(4, –4), B'(1, 3)

d.) None of the above are correct.

26) After looking over the original points and the reflected points in the previous problem, determine if the statement below is true or false. State true or false, and if the statement is false, explain why it is false.

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27) Reflect triangle DEF over the x-axis to have triangle D'E'F'. The coordinates of D' will be D'(1, –1). What are the coordinates of E' and F'?

a.) E'(–1, –4), F(–5, –1)

b.) E'(1, –4), F(5, –1)

c.) E'(–1, 4), F(–5, 1)

d.) None of the above are correct.

28) True or False. If Figure A was rotated to Figure A', the rotation would be a 90-degree counterclockwise rotation.

True

False

29) The kite has segments PQ and PS with lengths of 6.5 cm each and QR and SR with lengths of 9.6 cm each. Dilate the figure by a scale factor of 2 with P as the center of dilation. Which segments are the correct lengths? (Note: P and P' will be the same point, but the other points of the dilation will not coincide with the original points.)

a.) PQ' and Q'R' = 13; PS' and S'R' = 19.2

b.) PQ' and PS' = 130; Q'R' and S'R' = 192

c.) PQ' and Q'R' = 19.2; PS' and S'R' = 13

d.) PQ' and PS' = 13; Q'R' and S'R' = 19.2

30) Compare the lengths of the smaller picture and its dilation (image). What is the scale factor?

a.) 3

b.) 5/3

c.) 2.5

d.) 11/6

31) Andrea subtracted 8 from her age, and divided that result by 3. The final answer was 4. How old is Andrea? To solve this problem by working backwards, which process would be correct?

a.) Add 4 to 8, and then divide by 3 to get 4 years old.

b.) Add 8 to 3, and then multiply by 4 to get 44 years old.

c.) Multiply 4 times 3, and then add 8 to get 20 years old.

d.) Multiply 4 times 8, and then subtract 3 to get 29 years old.

32)

The cost of mailing a small package is $2.88. If the postage is 36 cents for the first ounce and 21 cents for each additional ounce, how much does the package weigh? Make sure to label the answer properly. (Hint: For the final answer, make sure to include the first ounce.)

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33) What is the value of c if f = 2 and if c + d = 15, d + e = 11, and e + f = 5?

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