Convert Each Rate Using Dimensional Analysis

Pre Algebra Name

Quarter Test Review Period Date

DUE: Thursday, June 10

Convert each rate using dimensional analysis.

1) 48 qt/min to gal/sec 2) 48 meters/min to cm per sec

3) Steven ran 2630 feet in 18 minutes. How many miles per hour is this?

4) 154 mi/ h to in/ sec

Find the probability of the events.

5) Picking a composite number from a deck of cards numbered 1-10.

6) Rolling a multiple of 3 on a die numbered 1-6.

7) Picking a blue chip from a bag with 5 blue chips, 7 green chips and 3 orange chips; then rolling a factor of 4 on a die.

8) Picking an orange chip from a bag with 5 blue chips, 7 green chips and 3 orange chips; replacing it and picking a blue chip.

9) Picking a green chip; then an orange chip (without replacing) from a bag with 5 blue chips, 7 green chips and 3 orange chips

10) Picking a green chip then another green chip (without replacing) from a bag with 5 blue chips, 7 green chips and 3 orange chips

Solve.

11) 12)

13) What is of 3450? 14) 45 is what percent of 675?

15) 19 is of what number?

Solve.

16) The price of a sweater went from $56 to $47.60, what is the percent of decrease?

17) The number of National League baseball players is 650. The number increased by 12%, how many baseball players are there now?

18) The number of American League baseball players is 680. The amount of players decreased by 15%, how many American League players are there now?

19) Sam purchased a cell phone for $229. The cashier added a 7% sales tax, what was the final cost of the phone?

20) Casey saved $34 on a bag that was reduced by 15%. What was the original price of the bag?

21) Jeremy paid $178 on a model plane that was marked down 35%. What was the original price of the plane?

Solve.

22) Andrew earns 3 ¼ % on his real estate sales. What must his sales total to earn $11570?

23) Ethan saved $3200 for 18 months at 4 ½ %. How much did he earn in interest?

24) Jake earned $806.40 on the $4,800 he deposited at 5.6%. How long did he deposit the money?

25) Madeleine deposited $6700 for 6 years. What is the rate of his investment if he earns $1527.60?

26) The Kellogg’s Company had $12,300,000 in income for 2009. If they had $8,950,000 in expenses, what is the percent of expense? (Round your answer to the nearest tenth.)

27) The amount of expense in the school store was $235 during the first week of school. The total sales was $376. What is the percent of profit for the week?

28) A solution of acid requires 45 liters of sulfuric acid for every 32 liters of bromine. How much sulfuric acid is needed if the scientist has 24 liters of bromine?

29) The recipe for Rice Krispie treats requires 6 cups of Rice Krispies for 4 ½ cups of marshmallows. How many cups of marshmallows need to be used if the cook only has 3 ¾ cups of Rice Krispies?

Answer the following.

30) Name the quadrilateral with four congruent sides.

31) Name the quadrilateral with two pairs of parallel sides.

32) Name the polygon with six sides and six vertices.

33) Name the polygon with four right angles.

34) The sum of the angles of a polygon is 1260°. How many sides does the polygon have?

35)

36) The lengths of the legs of a right triangle are 24 m, and 7 m. What is the length of the hypotenuse?

37) An obtuse scalene triangle has angle and congruent sides.

38) Name the quadrilateral with one and only one pair of parallel sides.

Determine if the statements are True of False.

39) Two parallel lines will intersect in exactly one spot.

40) Two intersecting planes will intersect at one line.

41) A trapezoid has one and only one set of parallel sides.

42) A isosceles triangle has three congruent sides and angles.

43) All rectangles are also squares.

Find the perimeter (circumference) and area of the following figures. (Don’t forget units!!)

44) P = A = 45) P = A =

46) C = A = 47) P = A=

48) P = A =