Basic Mathematics Review Sheets

American Units of Measurement

22.) Make each conversion

a. 5 yards to feet

b. 66 inches to feet

c. 9,20 feet to miles

23.) Make each conversion

a. 32 ounces to pounds

b. 3 tons to ounces

24.) Make each conversion.

a. 5 pints to fluid ounces

b. 17 quarts to cups

c.5 gallons to pints

25.) Make each conversion

a. 20 minutes to seconds

b. 200 hours to days

e.4.5 days to hours

26.) SKYSCRAPER The Sears Tower in Chicago is 1,454 feet high. Ex press this
distance in yards.

Metric Units of Measurement

27.) Make each conversion.

a. 475 centimeters to meters

b. 3 dekameters to kilometers

c.5 kilometers to hectometers

28.) Make each conversion.

a. 7 centigrams to milligrams

b. 5,425 grams to ki lograms

c. 7,500 milligrams to grams

29.) PAIN RELIEVER A bottle of Extra Strength Tylenol contains 100 caplets of 500
milligrams each. How many grams of Tylenol are in the bottle?

30.) Make each conversion

a. 150 centiliters to liters

b. 1 hectoliter to deciliter

c.2 kiloliters to hectoliters

Converting between American and Metric Units

31.) SWIMMING Olympic-size swimming pools are 50 meters long. Express
this distance in feet.

32.) HIGH-RISE BUILDING The World Trade Center was 419 meters high,
and the Empire State Building is 1, 250 feet high. Which building is taller?

33.) Michael Jordan is 6 feet, 6 inches tall. Express his height in centimeters.

34.) LaCroix bottled water can be purchased in bottles containing 17 fluid ounces.
Mountain Valley water can be purchased in half-liter bottles. Which bottle contains more
water?

35.) Change 77°F to degrees Celsius.

Reading Graphs

36.) Refer to the chart below to answer the fol lowing questions :

a.) How many coupons were redeemed in 1987?

b.) Between what years did the number of
redeemed coupons remain essentially
unchanged?

c.) In what two -year period did the number
of redeemed coupons increase the most?

d.) What was the percent of the greatest two
year increase?

37.) Refer to the chart to the right to answer the
following questions:

a.) A survey of the television viewing habits of
320 households produced the histogram to the
right. How many households watched between
5 and 15 hours of TV each week?
 

b.) How many households watch 11 hours or more each week?

Mean, Median, and Mode

38.) Jose worked hard this semester, earning grades of 87, 92, 97, 100, 100, 98, 90, and
98. If he needs a 95 average to earn an A in the class, did he make it?

39.) A medical laboratory technician examined a blood sample under a microscope and
measured the sizes (in microns) of the white blood cells. The data is listed below. Find
the mean, median, and mode.

Solving Equations

40.) Tell whether the given number is a solution to the equation .

is 5 a solution?

41.) Solve each equation and check the result.

42.) A newly married couple made a $25,500 down payment on a $122,750 house. How
much did they need to borrow?

43.) Solve each equation and check the result.

44.) Four sisters split the cost of a gold chain evenly. How much did the chain cost if
each sister’s share was $32?

Algebraic Expressions and Formulas

45.) Evaluate each algebraic expression.

a.) for x = -3

b.) for a = 4, b = 6 and c = -4

46.) Find the sale price of a trampo line that normally sells for $315 if a $37 discount is
being offered.

47.) Find the retail price of a car if the dealer pays $14,505 and the markup is $725.

Simplifying Algebraic Expressions

48.) Simplify

49.) Identify the second term and the coefficient of the third term.



50.) Simplify and combine like terms

Simplifying Expressions to Solve Equations

51.) Solve each equation and check your answer

Exponents

52.) Simplify each exp onential expression