Ratios
A family has 4 dogs and 3 cats. Write a part-to-whole ratio, comparing cats to total pets.
3 cats : 7 total pets
Multiply the following fractions, and simplify:
1/3 x 3/10
3/30 = 1/10
Use the Order of Operations to solve the following:
9 + (7 - 4) / 3
9 + 3 / 3
9 + 1
10
What is the GCF of 18 and 36?
Hint: 18 has 6 factors, and 36 has 9 factors
18: 1, 2, 3, 6, 9, 18
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
GCF = 18
In what quadrant is the point (-16, 13) located?
Quadrant II
15 boxes : 300 cookies = 1 box : ? cookies
20 cookies
Subtract the following:
47.07 - 29.526
17.544
Evaluate the expression if x = 9
12x - 14
12*9 - 14
108 - 14
94
What is the LCM of 15 and 20?
15: 15, 30, 45, 60...
20: 20, 40, 60...
LCM = 60
Calculate the mean of the following data set:
9, 12, 8, 14, 20
Mean: 63/5 = 12.6
What is 28% of 40?
11.2
Divide the following fractions, and simplify:
7/8 divided by 3/4
7/6 or 1 1/6
a) 3
b) 4
c) 5
d) 6
a) 3
Use the Distributive Property to rewrite the following expression:
12(13x + 20y + 11)
12*13x + 12*20y + 12*11
156x + 240y + 132
Which of the following is NOT an integer?
a) -3
b) 0
c) 2.5
d) 44
c) 2.5
Jessie has 40 feet of fabric to complete a sewing project. She needs 1,200 centimeters of fabric in order to complete the project. Does she have enough?
Hint: 1 ft = 30.48 cm
Yes, she has 1,219.2 centimeters of fabric.
Divide the following, and simplify:
2 and 1/3 divided by 7/9
63/21 or 21/7 or 9/3 or 3/1 or 3
Mark sells Italian ice desserts for $7 each. If Mark earns $203 from selling Italian ice, how many Italian ice desserts does he sell?
a) Define a variable for the unknown.
b) Write an equation to represent the situation.
c) Solve the equation using inverse operations.
a) x = number of Italian ice desserts sold
b) 7x = 203
c) x = 29 Italian ice desserts sold
Rewrite the following expression by "undoing" the Distributive Property
24x + 18y - 40
Hint: 24 has 8 factors, 18 has 6 factors, 40 has 8 factors
24: 1, 2, 3, 4, 6, 8, 12, 24
18: 1, 2, 3, 6, 9, 18
40: 1, 2, 4, 5, 8, 10, 20, 40
GCF = 2
2(12x + 9y - 20)
What is the base of a triangle if the area is 45 cm squared and the height is 6 cm?
45 = b*6/2
45 = 3b
15 = b
A small bag of chips is $5.10 for 6 oz. A medium bag is $6.56 for 8 oz. A large bag is $12.45 for 15 oz. Calculate the unit rates and decide which is the best buy.
Small Bag: $0.85 per oz
Medium Bag: $0.82 per oz
Large Bag: $0.83 per oz
Best Buy: Medium Bag
Divide the following decimals:
24.25 divided by 2.5
9.7
Zack: x
Jalen: x + 4
Ricky: 3(x + 4) = 3x + 12
Total: x + x + 4 + 3x + 12
Simplified: 5x + 16
Janet goes to the grocery store every 4 days. Mary goes to the grocery store every 7 days. Dennis goes to the grocery store every 3 days. After how many days will the three people be at the grocery store at the same time?
Janet: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84...
Mary: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84...
Dennis: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84...
After 84 days, they will all be at the grocery store at the same time.
A bank account balance is -$40.25 on Friday. On Saturday, the balance is $523.40. By how many dollars did the the bank account change from Friday to Saturday?
| -40.25 | + | 523.40 |
40.25 + 523.40
$563.65