Name ______________________________________ Date _______________ Per ________
FALL SEMESTER EXAM REVIEW
MODULES 1 – 3
Solve each problem. ALL WORK MUST BE SHOWN where necessary, OR NO CREDIT WILL BE RECEIVED!!!
RECEIVED!!!
1. What is the opposite of −6?
________
2. Which set of rational numbers is correctly ordered from least to greatest?
A −0.3, −0.4, −0.5
B −0.5, −0.4, −0.3
C −0.5, −0.3, −0.4
3. Which number line shows −4, 1 and 3?
A
B
C
4. Which number has the same absolute value as −21?
A 0
B
1
21
C 21
5. The elevation of New Orleans is on average 8 feet below sea level. Which correctly describes the
opposite of New Orleans’ elevation?
A on average 8 feet below sea level
B at sea level
C on average 8 feet above sea level
6. Which shows the integers in order from greatest to least?
A −2, 1, 5
B 5, −2, 1
C 5, 1, −2
7. Alecia placed the numbers 0.2, 0.4, −0.8 and 0.1 on the number line. Which of the numbers is furthest
from zero? _____________
8. What is the GCF of 15 and 30?
9.
___________
Which statement about rational numbers is correct?
A All rational numbers are also integers.
B Zero is not a rational number.
C All integers are also rational numbers.
10. Anna wrote 4
1
a
in the form . What number did she write?
2
b
____________
11. Four runners ran the 400-meter dash. The times are shown in the table above. Which runner had the
fastest time? Put your answer on the line located under the table.
Runner
Time (s)
Kurt
59.6
Blaine
58.8
Rachel
60.4
Finn
59.5
____________________________
12. Write the numbers −
2
3 2
4
, − ,
and
from greatest to least.
5
5 5
5
__________________________
13.
In the number line above, what is the coordinate of point A?
__________
14. The table shows the daily temperatures for a four-day period in New York. On which day was the
temperature warmest? Put your answer on the line located under the table.
Day
Temperature
Monday
1°C
Tuesday
2°C
Wednesday
5°C
Thursday
−1°C
_____________________________
15. What is the LCM of 3 and 5?
________________
16. Brian compared the absolute values of the numbers −
1 3
1
,
, and − . Circle the number that has the
2 4
4
greatest absolute value?
MODULES 4 – 5
17. A rug is 12 feet wide and 15
1
feet long. What is the area of the rug?
2
______________
3
1
of ground turkey to make turkey burgers to grill at a barbecue. How many -pound
4
4
burgers can he make? __________
18. Bruce bought 4
19. Do you use the greatest common factor or the least common multiple to add two fractions? ________
In this example, what LCM would you use?
4 5
+
15 6
_________
20. A bottle holds 8.2 ounces of disinfecting soap. Jesse used 0.2 of the soap in the bottle to clean the
kitchen floor. How many ounces of soap did she use?
21. What is the reciprocal of
1
?
3
__________
__________
22. In Mrs. Wallace’s science class,
1
1
of the students are boys. Of the boys,
are left-handed. What
2
8
fraction of the students in Mrs. Wallace’s science class are left-handed boys?
__________________
23. In 7 hours, the temperature on the slopes of a mountain ski resort fell from 9°F to 2°F. What was the
average change per hour? (i.e. “increased” or “dropped” by 2˚F) __________________________________
24. Trevor filled his car’s gas tank with 17 gallons of gas. He paid $68.51. What was the price of 1 gallon
of gas?
__________
25. What is the reciprocal of 3
1
?
8
__________
26. Jamal used his savings to buy 15 pounds of flour at $0.42 per pound, 8 pounds of butter at $3.99 per
pound, 1 pound of salt at $0.67 per pound, and 30 pounds of apples at $1.49 per pound. What was the
change in the amount of money in his savings?
__________
27. Jamal plans to bake cherry pies and sell them for $9.50 each. How many pies does he have to sell to
make back his investment and make $100 profit?
__________
2
1
pounds holds sports equipment. Of the equipment in the container,
of
5
3
the weight is baseball equipment. What is the weight of the baseball equipment? __________
28. A container that weighs 23
29. What are the 3 steps to divide by a fraction?
____________________________
30. Gabby earns $12.65 per hour. She worked 30.8 hours. How much did she earn?
_______________
31. Four runners formed a relay team. The team completed the relay in 3.86 minutes. Each runner ran
exactly the same time. What was each runner’s time? _____________
32. Swiss cheese costs $2.79 for 16.4 ounces. How much would 25 ounces of cheese cost? ___________
33. Two friends ordered a restaurant special in which they each received a meal and then shared a
dessert. The final bill with tax and tip was $21.86. How much should each friend pay? ____________
MODULES 6 – 7
34. What is the ratio of Xs to Os ?
__________
X X O X T T X O T Z X O T TX O O O X X T Z
35. Use letters above: What is the ratio of the Ts to all of the letters? _________
36. The ratio of red marbles to blue marbles in Simon’s bag is equal to 1 to 4. If there are 20 red marbles,
how many blue marbles are there?
__________
37. Jessie filled a container of water with 200 milliliters. Zaria filled a different container with 400 milliliters.
How much more water did Zaria have, in liters?
__________
38. The distance on a map between Lake Village and Bay Cove is 2 inches. If 1 inch represents 15 miles,
what is the actual distance between Lake Village and Bay Cove?
__________
39. The ratio of boys to girls in Mr. Green’s class is 4 to 5. There are 8 boys in the class. How many girls
are in the class?
__________
40. Sara is making a recipe that calls for 1 cup of milk and 2 cups of water. How much of each would she
need if she triples the recipe?_________________
41. Jen runs 11 miles and Kelly runs 15 miles. How many more kilometers did Kelly run? (1.61 km = 1 mi)
____________________________
42. Allegra counted 10 red cards and 20 black cards in a deck of cards. What is the ratio of black cards to
red cards? (simplified)
__________
43. Arturo can walk 4 miles in 1 hour. How many miles can he walk 3 hours?
__________
44. Since 1 inch is equal to 2.54 centimeters what does 15.2 inches equal in cm.?
45. To buy 8 yards of fencing it costs $26.00. How much does it cost for 12 yards?
__________
__________
46. Roberta purchased a container of cashews that weighs 5 kilograms. Lennie purchased a container of
cashews that weighs 4,900 grams. How many more grams of cashews did Roberta purchase?
_____
47. Mary bought 3.5 pounds of ham for her family. If it costs $6.99 per pound and Mary has a $5 coupon
off her total, how much does she spend?________________________
48. It is going to cost $80 per square yard to pour concrete in our dog pen. How much will I spend if I need
to pour concrete for a pen that is 8 ft x 6 ft? ___________________
49. The ratio of wooden bats to metal bats in the baseball coach’s bag is 2 to 1. If there are 20 wooden
bats, how many metal bats are in the bag? __________
50. Lester can walk 75 feet in 60 seconds. How many feet per second can he walk?
51. How many kilometers are equal to 5 miles?
__________
__________
Extra Review with Division, Fractions and Decimals
1. A baker has 72 vanilla cupcakes and 80 chocolate cupcakes. She wants to make platters for a party
that have both kinds of cupcakes and the same total number of cupcakes on each platter.
a. Can the baker make 10 platters of cupcakes with no cupcakes left over? Explain why or why not.
________________________________________
b. What is the greatest number of platters she can make? How many of each kind of cupcake will be
on each platter?
________________________________________
7
1
cup of sour cream to make tacos. If each taco requires
cup of sour cream, how many
8
16
tacos can you make?
2. You have
7
128 taco
1
taco
14
14 tacos
15 tacos
3. How many
1
7
-cup servings are there in
cup of peanut butter?
2
8
1
16
4
7
1
7
16
3
4
4. Carl wants to plant a garden that is
1
1 yards long and has an area of
2
1
3 square yards. How wide should the garden be?
2
3
7 yard
2 yards
5. Divide.
1
yards
3
5
1
4 yards
3 17
÷
7 19
3
133
51
133
119
57
57
119
6. Nima uses
2
2
2
1
3
cup peanuts,
cup cashews,
cup pecans, and some raisins in a recipe that makes
3
2
4
1
cups of trail mix. How many cups of peanuts are there per cup of trail mix?
4
2
9
8
27
27
8
3
9
7. Jerry is tiling the wall behind his sink. The tiles he’s using are square with sides that measure 1
inches. If the area of wall he’s tiling is 42 inches long and 29
need?
17
24
408
1249
1
2
3
4
3
inches high, how many tiles will he
4