Unit 1: Use of Positive Rational Numbers
Unit 3: Numerical and Algebraic Expressions
Unit 5: Understand and Use Ratio and Rate
Unit 7: Solve Area, Surface Problems
Mixed Bag (Questions from Any Unit)
100
Evaluate the product:
5/12 times 2/3 =
Answer:
5/18
5/12 times 2/3 = 10/36 = 5/18
100
Evaluate the Expression:
(3^2 - 5) + 2
Answer:
(3^2 - 5) + 2
3^2 = 9 - 5 = 4 + 2 = 6
100
Write the ratio 4:5 in two other ways!
Answer: 4/5 and 4 to 5
100
What is the area of a square with a side length of 7 cms?
Answer: 49 cm2
Area of a square = s2
72 = 49
100
Which of the following is a statistical questions?
a. What is 4.5 x 32?
b. How many video games does a typical 6th grade student own?
c. How old is Mr. Sousa?
Answer: b.
*Statistical questions have a variety of answers
200
Evaluate the expression for the quotient:
3/5 div 1/4
Answer:
12/5 or 2 2/5
3/5 div 1/4= 3/5 times 4/1 = 12/5 or 2 2/5
200
What is an algebraic equation to represent the following situation?
Part A: TIVO charges a one time fee of $20 dollars and a monthly fee of $5 dollars per month. (Use C for cost and m for months)
Bonus 100: How much would it cost to have TIVO for 5 months?
Answer: C = 5m + 20
Bonus Answer: $45
C = 5 (5) + 20 = 45
200
How many inches is 38.1 centimeters?
1 inch = 2.54 cm
Answer: 15 inches
38.1 divided by 2.54 = 15
200
The net below is a picture of what 3-D shape?
Answer: Triangular Pyramid
200
What is the reflection of the point (8,4) over the x axis?
Answer: (8,-4)
Keep x the same and change the y
300
Evaluate the expression for the quotient:
612.5 div 35
Answer
17.5
35 times 17.5 = 612.5
300
Write an equivalent expression for the following
a. (150 points) 5(4x+3)
b. (150 points) 7(3y -1)
Answer:
a. 20x + 15
b. 21y - 7
300
Name 4 equivalent ratios to 10:15! (50 points each)
Answer: Infinite amount of answers
Whatever I do to one side I must do to the other.
10:15 = 20:30 = 40:60
10:15 = 2:3
300
What is the area of the trapezoid below?
Answer:
A = 1/2(base 1 + base2)h
A = 1/2(4 + 9) x 6 = 6.5 x 6 = 39ft squared
300
Part A (150 Points): What is the GCF of 24 and 36?
Part B (150 Points): What is the LCM of 6 and 14?
Part A Answer: 12
2 x 2 x 3 = 12
Part B Answer: 42
6,12,18,24,30,36,42
14,28,42
400
Evaluate the expression for the quotient:
607.6 div 6.2 =
Answer:
98
98 times 6.2 = 607.6
400
What is the value of the algebraic expression when x = 5?
(x^2 -2) + (3x - 11)
Answer: 27
Substitute!
(5^2 -2) + (3(5) -11)
25 - 2 = 23 + 15 -11 = 4
23 + 4 = 27
400
Which of the following is a better deal or has a lower unit price?
$1.28 for 32 oz of water or $1.44 for 48 oz of water
EXPLAIN YOUR ANSWER FOR FULL POINTS!
Answer: $1.44 for 48 oz
Unit Price for $1.28 for 32 oz = 0.04 per 1 oz
Unit Price for $1.44 for 48 oz = 0.03 per 1 oz
0.03<0.04
400
What is the volume of a rectangular prism with length of 6 1/2 ft, width of 2 1/2 and height of 4 feet?
Answer: 65 ft3
13/2 times 5/2 times 4/1 =260/4 = 65ft^3
400
Mr. Ciampi graded 30% of the test for his class in 15 minutes.
How long will it take him to grade all of the tests?
Answer: 50 minutes
percent: 15% --> .15
whole: ?
part 15 minutes
When given the part you must divide.
15 div .3 =50
500
John is making Jell-O. The recipe calls for 3/4 cup of water for each bowl of Jell-O.
Part A (250 points): How many full bowls of Jell-O can John make with 9 cups of water?
Part B (250 Points): How many more cups of water would John need to make 20 bowls of Jell-O?
Part A Answer: 12 bowls of Jell-O
9 div 3/4 = 9 times 4/3 =36/3 = 12
Part B Answer: 6 more cups of water
20 times 3/4 = 15 -> 15 - 9 = 6
500
Evaluate the expression:
({4.5^2 + 6} - 2.25) div 6
Answer: 4
4.5 x 4.5 + 6 = 26.25
26.25 - 2.25 = 24
24 divided by 6 = 4
500
Lela is buying spools of yarns for a knitting class. She can buy a 40-yard spool for $15.60 or a 60-yard spool for $19.20. Which is a better buy?
EXPLAIN FOR FULL CREDIT
Answer: 60 yards for $19.20 is a better buy.
Unit Price: 19.20 divided by 60 = $0.32 per yard
Unit Price: 15.60 divided by 40 = $0.39 per yard.
0.32 < 0.39
500
What is the surface area of the square pyramid?
Answer: 340 ft2
Area of square = 10 x 10 = 100
Area of 1 triangle = 12 x 10 x 1/2 = 60
Area of all triangles = 4 x 60 = 240
SA = B + 4T --> 100 + 4(60) = 340 ft2
500
Solve for x in the equation below:
(15x+2)/7 = 11
Answer: x = 5
15x + 2 = 77 (undo division)
15x = 75 (undo addition)
x = 5 (undo multiplication)