Solving Equations
A number plus 6 equals 18. What is the number?
Answer: x + 6 = 18 → x = 12
A rectangle measures 9 ft by 4 ft. What is the area?
Answer: 36 ft²
A cube has side length 4 units. What is the surface area?
Answer: 6 × 16 = 96
A student drinks 1.2 liters of water in the morning and 2.8 liters in the afternoon. Total?
Answer: 4 liters
A box plot shows:
Minimum = 2, Q1 = 5, Median = 8, Q3 = 10, Maximum = 14
What is the median of the data?
What is 8?
A student buys 3 identical notebooks for $21. What is the cost of one notebook?
Answer: 3x = 21 → x = 7
A garden is 12 ft long and 6 ft wide. What is the total area?
Answer: 72 ft²
A box measures 3×5×2. What is the surface area?
Answer: 2(15 + 10 + 6) = 62
A runner runs 2.5 miles each day for 3 days. Total distance?
Answer: 7.5 miles
A box plot shows:
Minimum = 4, Q1 = 6, Median = 9, Q3 = 12, Maximum = 15
What is the interquartile range (IQR)?
Answer: 12 – 6 = 6
A number divided by 4 equals 9. What is the number?
Answer: x ÷ 4 = 9 → x = 36
A floor measures 14 ft by 10 ft. How many square feet does it cover?
Answer: 140 ft²
A cube has side length 5 units. What is the surface area?
Answer: 6 × 25 = 150
A ribbon is 9 feet long. It is cut into pieces of 0.75 feet. How many pieces?
Answer: 12
A box plot shows:
Minimum = 3, Q1 = 7, Median = 10, Q3 = 13, Maximum = 18
Which statement is true?
A. The data is evenly spread
B. The upper half has a greater spread than the lower half
C. The lower half has a greater spread than the upper half
D. All values are equal
Answer: B
Five times a number decreased by 10 equals 30. What is the number?
Answer: 5x – 10 = 30 → x = 8
A shape is made of two rectangles: 8×5 and 4×5. What is the total area?
Answer: 40 + 20 = 60 ft²
A rectangular prism is 4×6×3. What is the surface area?
Answer: 2(24 + 18 + 12) = 108
A recipe uses 1.5 cups of sugar and 2.75 cups of flour. What is the total?
Answer: 4.25 cups
Two box plots represent test scores:
Class A:
Min = 50, Q1 = 60, Median = 70, Q3 = 80, Max = 90
Class B:
Min = 55, Q1 = 65, Median = 75, Q3 = 85, Max = 95
Which class has a higher median score, and by how much?
Answer: Class B by 5 points
A student has some money. After spending $15, they have $27 left. How much did they start with?
Answer: x – 15 = 27 → x = 42
A rectangular field is 18 ft by 12 ft. A 6×4 section is removed. What is the remaining area?
Answer: 216 – 24 = 192 ft²
A prism measures 7×3×2. All faces are painted. What is the total surface area?
Answer: 2(21 + 6 + 14) = 82
A car travels 2.4 miles per minute for 8 minutes. How far does it travel?
Answer: 19.2 miles
A box plot shows:
Minimum = 10, Q1 = 20, Median = 25, Q3 = 30, Maximum = 50
What does this tell you about the spread of the data above the median?
Answer:
The upper half (25 to 50) has a larger spread, indicating more variability above the median