Mathematician:______

Math 7 Final Exam Review

  1. At the Colorado ski meet, the French Canadian skier jumped 87.9 meters. The American skier jumped 90.02 meters. How much farther did the American skier jump than the Canadian skier?
  1. The Carlton family spent $1200.95 on air fare, $858.35 on hotels, $570.00 for meals, and $58.68 for gifts on their recent vacation. What was the total cost of their trip?
  1. Christine’s family drove 657.2 miles from home to Lubbock pulling a U-Haul with all of her sister’s stuff to move to college. They used 46.4 gallons of gasoline for the trip, which costs a total of $152.64. How much did they spend on each gallon of gasoline?
  1. Mandy babysat for hours on Friday night and hours on Saturday night. If she makes $12 an hour, how much money did she earn?
  1. Find the area of the rectangle below.
  1. Nathaniel has pounds of cat food. He plans to split it equally among his 7 cats. How much cat food will each cat receive?
  1. A bird is flying 22 feet above the surface of the water. It sees a fish 3 feet below the surface of the water. How far must the bird dive from its position to get the fish?
  1. Suppose the temperature outside is dropping 3° each hour. How much will the temperature drop in 8 hours?
  1. The wind chill temperature at 9 am is -25 degrees Fahrenheit. The wind chill temperature is 32 degrees colder than the actual temperature. What is the actual temperature?
  1. A red number cube and a white number cube are rolled. The faces of both cubes are numbered from 1 to 6. What is the probability of rolling a 3 on the red number cube and rolling the number 3 or less on the white number cube?
  1. Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. If Tammy repeats this process 90 times, how many times can she expect to pull out a red marble?
  1. If a number cube is rolled twice, what is the probability of getting the number 3 both times?

Grade / Number
A / 8
B / 6
C / 9
D / 5
F / 2
  1. At James Middle School the grades for one algebra class of 30 students are shown. Based on these results, how many of the 480 algebra students have an A in class?
  1. A coin is tossed once and the four-colored spinner shown is spun once. What is the probability that the coin will show tails and the spinner will not point to green?
  1. Camden has a bag with a card for each letter of the 26 letters of the alphabet on it. Camden’s best friend reaches in and randomly selects a card and keeps it. Camden’s brother then reaches in and randomly selects a card. What is the probability that both of the cards are vowels?

(vowels are a, e, i, o, u)

  1. Janice has 5 shirts (red, blue, yellow, orange, green), 2 pairs of shorts (jean, khaki), and 3 pairs of shoes (sneakers, sandals, flip-flops). If she chooses one shirt, one pair of shorts, and one pair of shoes to wear to the lake, how many possible outfits can she make?
  1. Circle the squares below that represent a proportional relationship.

  1. Table A below represents a proportional relationship. Determine the constant of proportionality.
  1. Victoria uses a coupon at a local technology store in order to receive a 25% discount. If the SALE PRICE of her item IS $36, what was the original cost of her purchase? *Hint: if you are getting a 25% discount, you are paying 75% of the original cost!*
  1. At the volleyball game, the school sold 36 student tickets out of 90 tickets total. What percent of the tickets were sold to students?
  1. At the grocery store, you can get 2 bags of chips for $6.50. How much would 10 bags of chips cost?
  1. On average a person spends $240 every 3 months on their cell phone bill. What would be the price for 1 month?
  1. Dana ran 7.2 meters in 24 seconds. What was her rate in meters per second?
  1. Kamisha is planning to conduct a survey at her school. She has decided to interview 7 out of every 30 students. If there are 510 students at her school, how many students must she interview?
  1. Corresponding angles of similar figures are ______.
  1. Parallelogram EFGH is similar to parallelogram WXYZ.What is the length of?

Write and solve a proportion using the conversion factor to convert each measurement. Round your answer to the nearest hundredth.

Length / Mass / Capacity
1 inch  2.54 centimeters
1 foot  0.305 meter
1 yard  0.914 meter
1 mile  1.61 kilometers / 1 ounce  28.4 grams
1 pound  0.454 kilogram / 1 fluid ounce  29.6 milliliters
1 quart  0.946 liter
1 gallon  3.79 liters
  1. A driveway is 40 yards long. About how many meters long is it?
  1. A cooler holds 15 liters of water. About how many gallons does it hold?

Write an equation to represent each situation and solve.

  1. Andrew bought some candy. He divided it into 3 bags and then ate 2 pieces of candy. He now has 113 pieces of candy. How many pieces of candy did Andrew have at the start?
  1. Nine less than four times a number is 3.

Evaluate the following expressions.

  1. Evaluate the expression ifq = 4 and r = 2.

=

  1. Evaluate the expression if x = 5 and y = 4

Solve each equation.

  1. 34. 35.

State whether each inequality is true or false for the given value:

36. 37. 38.

Graph each inequality:

39.

40.