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线性不等式与可行域进阶

A geologist estimates that the volume of a boulder is greater than 14.6 cubic feet but less than 18.6 cubic feet. The geologist also estimates that the boulder weighs 160 pounds per cubic foot of volume. Which inequality represents this situation, where x represents the estimated total weight, in pounds, of the boulder?
原库参考解析
2024年10月C卷练习 · 原库模块 1 · Q6作答 ↗
线性不等式与可行域挑战

\( y<−5x−21 \) 
\( y>−3x−8 \) 
For which of the following tables are all the values of x and their corresponding values of y solutions to the given system of inequalities?
原库参考解析
2024年11月A卷 · 原库模块 2 · Q15作答 ↗
线性不等式与可行域挑战

A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of the following inequalities represents the possible heights h, in centimeters, for a specific perennial flower species when fully grown. Which inequality represents the possible heights h, in centimeters, for a tall perennial flower species?
原库参考解析
2024年11月A卷 · 原库模块 2 · Q3作答 ↗
线性不等式与可行域挑战

Cristina was elected to the city council. Each city council person is required to attend at least 21 of the 27 scheduled council meetings in a year to keep their position. Which inequality represents the number of city council meetings, x, Cristina must attend in a year to keep her position on the city council?
原库参考解析
2024年11月B卷(易) · 原库模块 2 · Q2作答 ↗
线性不等式与可行域挑战

To cut a lawn, Antwan charges a fee of $10.00 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $7.00 for her equipment and $9.50 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor's total charge is greater than Antwan's total charge?
原库参考解析
2024年11月B卷(易) · 原库模块 2 · Q9作答 ↗
线性不等式与可行域进阶

An employee earns $30 per hour for the first 40 hours worked in a week. For each hour worked over 40 hours, the employee earns $45 per hour. What is the least number of whole hours that the employee must work in a week to earn at least $1,610?
原库参考解析
2024年11月C卷练习 · 原库模块 1 · Q17作答 ↗
线性不等式与可行域挑战

\( y\le x+15 \) 
\( y\ge-4x-15 \) 
Which point (x, y) is a solution to the given system of inequalities in the xy-plane?
原库参考解析
2024年11月C卷练习 · 原库模块 2 · Q10作答 ↗
线性不等式与可行域挑战

题目图表
The shaded region shown in the graph represents all the solutions to which inequality?
原库参考解析
2024年11月C卷练习 · 原库模块 2 · Q1作答 ↗
线性不等式与可行域进阶

When several resistors are connected in series in a circuit, the total resistance of the circuit is the sum of the resistances of these resistors. A certain circuit consists of 8 resistors connected in series, where the resistance of each resistor is positive. This circuit has a total resistance of 130 ohms. The total resistance of 3 resistors in this circuit is 90 ohms. Which inequality best represents all possible values of the resistance x, in ohms, of one of the other 5 resistors in this circuit?
原库参考解析
2024年12月A卷 · 原库模块 1 · Q19作答 ↗
线性不等式与可行域进阶

Sabrina has a goal to save at least $240. Sabrina has already saved $180. If x represents the additional amount of money, in dollars, Sabrina needs to save to meet her goal, which inequality represents this situation?
原库参考解析
2024年12月B卷 · 原库模块 1 · Q2作答 ↗
线性不等式与可行域挑战

\( y<42−7x \) 
\( \frac{y}{7}>10 \) 
Which inequality represents the x values for all solutions (x, y) that satisfy the given system of inequalities in the xy-plane?
原库参考解析
2024年12月B卷 · 原库模块 2 · Q9作答 ↗
线性不等式与可行域挑战

题目图表
The shaded region shown represents the solutions to the inequality -19y < c, where c is a constant. What is the value of c?
原库参考解析
2024年3月A卷 · 原库模块 2 · Q10作答 ↗