Ratios and Proportional Relationships
Expressions and Equations
The Number System and Exponents
Statistics and Probability
Geometry
100
Do the following ratios form a proportion?
6:4 and 8:12
Answer: No - The values of the ratios are NOT equivalent/NOT proportional.
6/4 does not equal 8/12
100
Find the VALUE of the power.
53
Answer: 125
Explanation
53 = 5 x 5 x 5
5 x 5 x 5 = 125
100
42 + 23
Answer: 24
Explanation
42 + 23
(4 x 4) + (2 x 2 x 2)
16 + 8
24
100
The school collected canned goods for a food drive. What is the mean number of cans collected? Write your answer as a decimal.
Room 1-120 cans
Room 2- 96 cans
Room 3- 115 cans
Room 4- 125 cans
Answer: 114 cans
Explanation:
120 + 96+ 115 +125= 456
456 ÷ 4 = 114
100
The scale on a map shows that 5 centimeters = 2 kilometers. What number of centimeters on the map represents an actual distance of 4 kilometers?
Answer: 10 cm
Explanation:
5cm =2km, then 10cm = 4km
200
Solve for y.
9/y = 3/17
Answer: y = 51
Explanation:
9/y= 3/17
153 = 3y
51=y
200
Solve for y.
y + 3.4 = 0.5
Answer: -2.9
Explanation:
y+ 3.4= 0.5
y + (3.4-3.4) = (0.5-3.4)
y= -2.9
200
How do you write the fraction
9 7/9
as a decimal?
Answer: 9. 7 repeating
Explanation:
9 7/9
7 ÷ 9= .777....
9.7repeating
200
The arrow on this spinner is spun once.
What is the probability that the arrow will land on a section labeled with a number greater than 3? Write your answer as a simplified fraction or percent.
Answer: 1/4 (or 25%)
2 of the 8 numbers are greater than 3
2/8 simplifies to 1/4
200
Determine whether the solids are similar.
Answer: No
Their measurements are not proportional
8/18 does not equal 2/6
300
7 pounds of plums make 8 fruit rolls. How many pounds of plums are required to make 20 fruit rolls?
Answer: 17.5 lbs (pounds)
7/8=b/20
Since, 7 ÷ 8=.875 or Cross Multiply
b ÷ 20=.875 8b=140
b ÷ 20 ✖️ 20 = .875 ✖️ 20. b=17.5
b = 17.5
300
Simplify the expression.
(-4y+3) + (11y-5)
Answer: 7y-2
Explanation:
(-4y+3) + (11y-5)
(-4y+11y) + (3-5)
7y-2
300
Solve
22 X 54 =
Answer: 2,500
Explanation:
22 X 54
(2 x 2) x (5 x 5 x 5 x 5)
4 x 625
2,500
300
Paul wrote the equation t=2m+40 to represent the temperature, t, in degrees Celsius, after a substance had been heated for m minutes.
Based on Paul's equation, how many minutes does the substance have to be heated to reach a temperature of 100 degrees Celsius?
Answer: 30 minutes
100 = 2m +40
60 = 2m
m = 30
300
Answer: x = 63
Explanation:
(x-12) + 39 = 90
x-12 + 39 - 39 = 90-39
x -12 + 12 = 51 + 12
x = 63
400
The amount you charge to mow a lawn is proportional to the time it takes you to mow the lawn. You charge $30 to mow a lawn that took you 1.5 hours to mow.
Write an equation for the amount in dollars, d, you charged when it took you h hours to mow a lawn?
Answer: d = 20h
30/1.5 = 20 (you charge $20/an hour)
400
Solve for k.
k + 4 ÷ 0.2 = 5
Answer: -15
Explanation:
k + 4 ÷ 0.2 = 5
k + 20 = 5
k + (20-20) = 5 - 20
k= -15
400
An airplane’s altitude changed −378 feet over 7 minutes. What was the mean change of altitude in feet per minute?
Answer: -54 feet per minute
-378 divided by 7 = -54
400
A student surveyed a random sample of 40 students in the school cafeteria about whether they ate the cafeteria's tomato soup.
14 of the sampled students said they ate the soup.
A total of 840 students eat in the cafeteria each day.
Based on the results of the survey, how many of the 840 students who eat in the cafeteria can be expected to eat the tomato soup?
Answer: 294 students
14/40 = x/840
14 x 840 =11,760
40x = 11760
x = 11760 divided by 40
x = 294
400
A circular mirror has a diameter of 12 inches.
A = pi r^2
Answer: C
36pi
500
One day, the appliance store offers a $50 discount on all purchases over $300. The store also has a sale with 15% off the price of all refrigerators. The 15% discount is applied after the $50 discount. What is the price, in dollars, of a $435 refrigerator after both discounts?
Answer: $327.25
435 - 50 =385
385 x .15 =57.75
385 - 57.75 = 327.25
500
Using Order of Operations
Evaluate:
10-8 (13+7) ÷ 4²
Answer: 0
Explanation: 10-8(13+7) ➗42
10-8 (20) ➗16
10-160➗16
10-10
0
500
A carpenter bought 750 nails. Each nail has a mass of 5.2×10−3 kilogram. What is the total mass, in kilograms, of the nails the carpenter bought? Give your answer as a decimal.
Answer: 3.9 kg
5.2×10−3 = .0052
.0052 x 750 = 3.9
500
Eric planted a seedling in his garden and recorded its height each week. The equation shown can be used to estimate the height, h, in inches, of the seedling by the end of each week, w, after it was planted.
What does the slope of the graph of the equation
h = 3/4w + 9/4
represent?
Answer: The slope represents the increase in the height, in inches, of the seedling each week.
500
Answer: 8/125 in3
L = 4x1/5 =4/5
W = 2 x 1/5 = 2/5
H = 1 x 1/5 = 1/5
Volume = 4/5 x 2/5 x 1/5 =8/125