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线性建模・建立方程挑战

Alan drives an average of 100 miles each week. His car can travel an average of 25 miles per gallon of gasoline. Alan would like to reduce his weekly expenditure on gasoline by $5. Assuming gasoline costs $4 per gallon, which equation can Alan use to determine how many fewer average miles, m, he should drive each week?
原库参考解析
Linear equations in one variable · 原库模块 1 · Q2作答 ↗
线性建模・建立方程挑战

Each side of a 30-sided polygon has one of three lengths. The number of sides with length 8 centimeters (cm) is 5 times the number of sides n with length 3 cm. There are 6 sides with length 4 cm. Which equation must be true for the value of n ?
原库参考解析
Linear equations in one variable · 原库模块 1 · Q9作答 ↗
线性建模・建立方程挑战

题目图表

To earn money for college, Avery works two part-time jobs: A and B. She earns $10 per hour working at job A and $20 per hour working at job B. In one week, Avery earned a total of s dollars for working at the two part-time jobs. The graph above represents all possible combinations of numbers of hours Avery could have worked at the two jobs to earn s dollars. What is the value of s ?
原库参考解析
Linear equations in two variables · 原库模块 1 · Q18作答 ↗
线性建模・建立方程挑战

How many liters of a 25% saline solution must be added to 3 liters of a 10% saline solution to obtain a 15% saline solution?
原库参考解析
Linear equations in two variables · 原库模块 1 · Q22作答 ↗
线性建模・建立方程挑战

题目图表

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c ?
原库参考解析
Linear functions · 原库模块 1 · Q12作答 ↗
线性建模・建立方程挑战

For groups of 25 or more people, a museum charges $21 per person for the first 25 people and $14 for each additional person. Which function f gives the total charge, in dollars, for a tour group with n people, where n \( \ge \) 25 ?
原库参考解析
Linear functions · 原库模块 1 · Q15作答 ↗
线性建模・建立方程挑战

A window repair specialist charges $220 for the first two hours of repair plus an hourly fee for each additional hour. The total cost for 5 hours of repair is $400. Which function f gives the total cost, in dollars, for x hours of repair, where x \( \ge \) 2?
原库参考解析
Linear functions · 原库模块 1 · Q1作答 ↗
线性建模・建立方程挑战

The cost of renting a backhoe for up to 10 days is $270 for the first day and $135 for each additional day. Which of the following equations gives the cost y, in dollars, of renting the backhoe for x days, where x is a positive integer and x \( \le \) 10?
原库参考解析
Linear functions · 原库模块 1 · Q3作答 ↗
线性建模・建立方程进阶

The length, y, of a white whale was 162 centimeters (cm) when it was born and increased an average of 4.8 cm per month for the first 12 months after it was born. Which equation best represents this situation, where x is the number of months after the whale was born and y is the length, in cm, of the whale?
原库参考解析
PSAT 8/9 P1 · 原库模块 1 · Q2作答 ↗
线性建模・建立方程进阶

Connor has c dollars and Maria has m dollars. Connor has 4 times as many dollars as Maria, and together they have a total of $25.00. Which system of equations represents this situation?
原库参考解析
PSAT 8/9 P1 · 原库模块 1 · Q6作答 ↗
线性建模・建立方程基础

A shipment consists of 5-pound boxes and 10-pound boxes with a total weight of 220 pounds. There are 13 10-pound boxes in the shipment. How many 5-pound boxes are in the shipment?
原库参考解析
PSAT 8/9 P1 · 原库模块 2 · Q15作答 ↗
线性建模・建立方程基础

An employee at a restaurant prepares sandwiches and salads. It takes the employee 1.5 minutes to prepare a sandwich and 1.9 minutes to prepare a salad. The employee spends a total of 46.1 minutes preparing x sandwiches and y salads. Which equation represents this situation?
原库参考解析
PSAT 8/9 P1 · 原库模块 2 · Q8作答 ↗