Develop Geometry with Algebra
Two angles are supplementary. One angle is x and the other is x+40. What is the value of x?
x=70
A figure is made of two rectangles. One rectangle is
6 × 4 and the other is 3 × 4. What is the total area?
36 square units
A bag has 5 red, 3 blue, and 2 green marbles. What is the probability of picking a blue marble?
P(blue)= 3/10
A table shows favorite fruits: Apple = 8, Banana = 5, Orange = 7. What is the probability of selecting a student who chose bananas?
P(banana)= 1/4
A student has $200 in a savings account and owes $50 to a friend. Which is the asset and which is the liability?
Asset: $200 savings
Liability: $50 owed
Two angles are complementary. One angle is x and the other is 2x. What is x?
x=30
A triangle has a base of 10 units and a height of
6 units. What is the area?
30 square units
A spinner has 8 equal sections. 2 are yellow. What is the probability of landing on yellow as a percent?
25%
A dot plot shows test scores: 70, 75, 75, 80, 85, 85, 85, 90. What is the median?
Median = 82.5
Which of the following are assets: cash, car loan, savings account, credit card balance?
Assets: cash, savings account
Two vertical angles are labeled 3x+10 and 5x−20. What is the value of x?
x=15
A rectangular prism has a length of 8, width of 3, and height of 5. What is the volume?
120 cubic units
A coin is flipped 20 times and lands on heads 12 times. What is the experimental probability of heads?
P= 3/5
Two classes have box plots. Class A has a median of 78 and Class B has a median of 85. Which class performed better based on the median?
Class B, because it has the higher median score.
A person has $500 in assets and $300 in liabilities. What is their net worth?
Net worth = $200
Two adjacent angles form a straight line. One angle is 4x and the other is 2x+30. Find x.
x=25
A rectangular prism has a volume of 96 cubic units. Its length is 6 and width is 4. What is the height?
h=4
The theoretical probability of rolling a 3 on a number cube is 1/6. If a student rolls the cube 30 times and gets a 3 eight times, which probability is greater?
Experimental probability is greater
A histogram shows the number of students scoring in ranges:
60–69: 4 students
70–79: 6 students
80–89: 10 students
90–99: 5 students
What is the probability a student scored between 80–89?
P= 2/5
Jordan owns a car worth $5,000 but still owes $2,000 on the loan. What is the value of the car as an asset after subtracting the liability?
Net value = $3,000
Two angles are supplementary. One angle is 3x−10 and the other is x+50. What is the measure of each angle?
x=35
A box is shaped like a rectangular prism with dimensions 10 × 4 × 3. If the base area is covered with paper, what is the area of the base AND what is the volume of the box?
40 square units
120 cubic units
A bag has 4 red and 6 blue marbles. A student draws 50 times (with replacement) and gets red 18 times. Compare the theoretical and experimental probabilities of red.
Theoretical probability is greater
Class A has a mean score of 82. Class B has a mean of 82 but a smaller range. Which class has more consistent data?
Class B, because a smaller range means the data is more consistent (less spread out).
List TWO examples of assets and TWO examples of liabilities.
Assets: savings account, cash, car (owned)
Liabilities: loans, credit card debt, money owed