IM2 Module 9 Systems of equations and inequalities vocabulary

system of equations

• 方程组 (fāng chéng zǔ) - A set of two or more equations that are considered together and solved simultaneously.

• A single equation that can be solved independently.

• A method for solving quadratic equations.

• A graphical representation of a linear equation.

independent

• 独立 (dú lì) - Describes a system of equations with a unique solution or equations that are linearly independent.

• 相依 (xiāng yī) - Refers to equations that depend on each other.

• 不相关 (bù xiāng guān) - Indicates that the equations have no relation.

• 重叠 (chóng dié) - Describes equations that overlap in solutions.

unbounded

• 无界 (wú jiè) - Describes a set or region that extends infinitely without any boundaries.

• 有限 (yǒu xiàn) - Describes a set or region that has defined limits.

• 边界 (biān jiè) - Refers to the boundary or edge of a set or region.

• 封闭 (fēng bì) - Describes a set or region that is closed off from the outside.

extraneous set

• A set of values that satisfies the original equation or inequality.

• A set of values that does not satisfy the original equation or inequality.

• A set of values that is always empty.

• A set of values that includes all possible solutions.

consistent

• 一致 (yī zhì) - Describes a system of equations or inequalities that has at least one solution.

• 不一致 (bù yī zhì) - Describes a system with no solutions.

• 相等 (xiāng děng) - Describes a system where all equations are identical.

• 独立 (dú lì) - Describes a system where equations do not affect each other.

dependent

• 依赖 (yī lài) - Describes a system of equations with infinitely many solutions or equations that are not linearly independent.

• 独立 (dú lì) - Refers to a system of equations with a unique solution.

• 无解 (wú jiě) - Indicates a system of equations with no solutions.

• 相互作用 (xiāng hù zuò yòng) - Describes equations that influence each other but do not form a system.

equation

• 方程 (fāng chéng) - A mathematical statement that asserts the equality of two expressions.

• 不等式 (bù děng shì) - A mathematical statement that asserts the inequality of two expressions.

• 常数 (cháng shù) - A fixed value that does not change.

• 变量 (biàn liàng) - A symbol that represents a number in an equation.

empty set

• A set that contains no elements; represented as ∅.

• A set that contains all possible elements.

• A set that contains at least one element.

• A set that contains only negative numbers.

elimination

• 消元法 (xiāo yuán fǎ) - A method for solving a system of equations by eliminating one variable.

• 加法法 (jiā fǎ fǎ) - A method for adding equations together.

• 分解法 (fēn jiě fǎ) - A method for factoring equations.

• 替换法 (tì huàn fǎ) - A method for substituting variables.

root

• A value that makes an equation true, often called a solution or a zero of the equation.

• A type of plant structure that anchors the plant and absorbs nutrients.

• The highest point of a mountain or hill.

• A mathematical term for the base of a logarithm.