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Which properties are demonstrated in these steps?

Content 1.1. 1. Which properties are demonstrated in these steps?. 3(4 x + 2) = 8 + 2 x 12 x + 6 = 8 + 2 x Step 1 12x – 2x + 6 = 8 + 2x – 2x Step 2.

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Which properties are demonstrated in these steps?

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  1. Content 1.1 1. • Which properties are demonstrated in these steps? 3(4x + 2) = 8 + 2x 12x + 6 = 8 + 2x Step 1 12x – 2x + 6 = 8 + 2x – 2x Step 2 A Step 1 Associative Property of Addition Step 2 Subtraction Property of EqualityB Step 1 Distributive Property Step 2 Additive Property of EqualityC Step 1 Commutative Property of Multiplication Step 2 Additive Property of EqualityD Step 1 Distributive Property Step 2 Subtraction Property of Equality  Page 1

  2. Content 1.1 • Which expression is equal to 7? 2. G  H F J Page 2

  3. Content 1.2 3. • A fitness club advertises a special for new members. Each month of membership is $25.00, with an initial enrollment fee of $75.00. Which equation represents the cost for ‘m’ number of months? A 25m – 75 = costB 75m + 25 = costC 25m + 75 = costD 75m – 25 = cost  Page 3

  4. Content1.2 • Which point is found on the line represented by the equation y – 2 = x? 4. F (-2, 0)G (2, 0)H (0, -2)J (0, 2)  Page 4

  5. Content 2.1b 5. • Evaluate the expression when n = – 2 • 6n – 8  A – 4B 4C –20D 20 Page 5

  6. Content 2.1b 6. • A bank customer has $175.00 in a bank account. She withdraws $85.00 per month for the next 3 months. She also writes 4 checks totaling $182.50. How much should she deposit to ensure her balance is $25.00 at the end of 3 months? F $117.50  G $287.50 H $305.50 J $462.50 Page 6

  7. Content 2.2b Karl needs to complete 50 laps in the swimming pool to earn a prize. He has completed 24 laps. What percent of the laps required for the prize has Karl completed? 7. A 24%B 48%C 52%D 76%  Page 7

  8. Content 2.2c 8. • An eye doctor is offering a 35% discount on eye exams. Which equation can be used to find the original price of an eye exam, x, ifthe discounted price is $39.00?  F G H J Page 8

  9. Content 2.3c 9. • The square root of 222 is between which two integers?  A 16 and 15B 15 and 14C 14 and 13D 13 and 12 Page 9

  10. Content 2.3c • Which whole number is closest to the value of ? 10.  F 11G 12H 13J 14 Page 10

  11. Content 3.1a 11. • Mr. Richardson bought a new triangular sail for his sailboat. Which of the following triangles best describes the triangular sail with the given measures? A Obtuse isosceles triangleB Right scalene triangleC Acute equilateral triangleD Acute isosceles triangle  Page 11

  12. Content 3.2 • Two lines intersect at a angle, as shown. 12. What is the value of x? F G H J  Page 12

  13. Content 3.3b 13. • If rectangle ABDC is reflected across thevertical axis in the graphat the right, what are the coordinates D'? A (0, 2)B (2, –2)C (2, 2)D (–2, –2)  Page 13

  14. Content 4.1b 14. • Put the three figures atthe right in order of their perimeters (or circumference, for the circle), from shortest to longest. F circle, square, triangleG triangle, square, circleH square, triangle, circleJ circle, triangle, square  Page 14

  15. Content 4.1b • The circular bases of the traditional tepees of the Sioux and Cheyenne tribes have a diameter of about 15 feet. What is the area of the base? Round to the nearest square unit. 15.  A 177 B 225 C 706 D 2218 Page 15

  16. Content 4.2a 16. • People in the United States discard an average of 75,000 tons of food per day. If a garbage truck can hold 12,000 lb, how many trucks are needed to haul all of the food? F 6,250 trucksG 9,000 trucksH 12,500 trucks J 18,000 trucks  Page 16

  17. Content 5.1 • The cafeteria sells popsickles of different flavors. The table shows the results of sales last week. The cafeteria refilled the freezer based on these sales. • A popsickle is selected from the freezer at random. Based on last weeks sales, what is the probability that the flavor will be Fruity? 17. A 0.15 B 0.20C 0.25 D 0.30  Page 17

  18. Content 5.1 18. • Two dice are rolled, all of the possible outcomes are shown below. • (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5), (2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4), (4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3), (6,4),(6,5) (6,6) • What is the probability of rolling a sum of 7?  F G H J Page 18

  19. Content 5.2 19. • What is the probability that a litter of three kittens is all female? (Assume that male and female kittens are equally likely.) ABCD  Page 19

  20. Content 5.3 20. • A TV station has five shows to broadcast on a weeknight. How many different arrangements of the shows can they make?  F 25G 75 H 120 J 160 Page 20

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