1. Be Rational!
GEOMETRY: Triangle EFG has vertices E(–3, 4), F(–3, –2), and G(5, –2). After a dilation is applied, the image triangle E′F′G′ has vertices E′(–9, 12), F′(–9, –6), and G′(15, –6). What is the scale factor for the dilation?
ALGEBRA: The function f(x)=3.33x models the cost for Juan to fill his car with x gallons of gas. Juan’s car can hold a maximum of 17 gallons of gas. What is the most appropriate domain of the function?
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2. Extreme Exponents and Radical Radicals
GEOMETRY: The vertices of triangle MNP are M(2, 5), N(2, –3), and P(5, –3). The triangle will be reflected over the y-axis. What will be the coordinates of the image point N′? ALGEBRA: What is the y-intercept of 3x – 4y = 12?
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3. Scientific Notation
GEOMETRY: In the figure below, lines j and k are parallel. What is the value of x?
ALGEBRA: Write the equation of the line in slope-intercept form that contains the points (4,9) and (2,-3).
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4. Slippery Slope
GEOMETRY: The worlds largest ice cream cone was 10 feet tall and 3 feet in diameter. Ice cream weighs about 19.8 pounds per cubic foot. If this cone was filled with ice cream to the top without going over, approximately how many pounds of ice cream could this cone hold? ALGEBRA: Two electrical lines are parallel to each other. One of the lines is represented by the equation –4x + y = 8. What is the slope of the other electrical line?
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5. Balance those Equations
GEOMETRY: Laura made two spherical pillows. Each pillow had a radius of 6 inches. Approximately what is the total volume of space Laura had to fill with stuffing? ALGEBRA: Which is an equation of a line perpendicular to the graph of 3x – 4y = 9 and contains the point (0, 8)?
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6. Two Variable Problems
GEOMETRY: A cylinder-shaped container is used to store water. The container has a height of 6 feet and a diameter of 3 feet. About how much water is in the container when it is ¾ full? ALGEBRA: Which inequality is graphed below?
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7. Funky Functions
GEOMETRY: The points (0, 3), (–2, –7), (–6, –27), (6, 33), (4, 23), (–1, –2) were plotted on the coordinate plane. What type of association do these data have? ALGEBRA:
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8. Modeling Relationships
GEOMETRY: What type of relationship exists between the data? ALGEBRA: The sum of two numbers is 59. The difference between the two numbers is 11. Which is the smaller of the two numbers?
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9. Graph This!
GEOMETRY: The table below shows the cumulative amount of time, in hours, Meghan reads over five weeks. If the data in the table is graphed, what is the approximate slope of a line that best fits the data? ALGEBRA: A system of equations is shown below. 3x – y = 14 x = 2y – 2 What is the solution to the system?
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10. Transforming Transformations
GEOMETRY:
ALGEBRA: Sue paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and 7 child tickets to the same play. What is the cost of 1 adult and 1 child ticket?
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11. Geometry Gems GEOMETRY:
ALGEBRA: Maria purchased 2 pairs of earrings and 4 necklaces for $ Kelly purchased 3 pairs of earrings and 2 necklaces for $ How much would 1 pair of earrings and 3 necklaces cost?
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12. Pythagorean Theorem
GEOMETRY: The set of ordered pairs {(–2, 4), (x, 1), (1, 3), (2, 4)} is a function. What is a possible value for x? ALGEBRA: Which is an equation of a line that is perpendicular to line t on the graph below?
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13. Formula, Formula, Formula
GEOMETRY: ALGEBRA: Which point lies on the line that passes through (6, –3) and is parallel to the graph of y = -1/3x + 9?
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14. Scatterbrained
Pizza Village uses the equation y = 1.10x + 9 to calculate the cost of a cheese pizza with x additional toppings. The table below shows the cost of cheese pizza from Mama Mia’s based on the number of additional toppings.
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15. Data, Data, Data
Company M spends $ to set up their business. They spend $2.00 per item on materials and sell each item for $ A second company, Company P, uses the equation y = 6.25x – 100 to determine their profit, y, per item sold, x. Which statement below is true?
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16. BONUS
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