#1 Linear Equations, Inequalities, and Systems

What is a linear equation?

• A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + by = c, where a, b, and c are constants.

• A linear equation is a polynomial equation of degree two.

• A linear equation is an equation that represents a curve when graphed.

• A linear equation is an equation that has no solutions.

What is a system of linear equations?

• A set of two or more linear equations with the same variables.

• A single linear equation with multiple variables.

• A collection of nonlinear equations.

• A system of equations that cannot be solved.

What is the solution to the system of equations: 3x - y = 7 and 2x + y = 3?

• (2,-1)

• (1,4)

• (3,0)

• (0,3)

What is an inequality?

• A mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

• A type of equation that shows equality between two expressions.

• A graphical representation of a function.

• A method for solving linear equations.

What symbols are used for closed dots when graphing inequalities?

• ≤, ≥

• <, >

• =, ≠

• ∈, ∉

What does the inequality x + 9 > 21 mean?

• It means that the value of x plus 9 is greater than 21.

• It means that the value of x plus 9 is less than 21.

• It means that the value of x plus 9 is equal to 21.

• It means that the value of x plus 9 is not defined.

What does it mean to graph an inequality?

• Graphing an inequality involves plotting points on a number line.

• Graphing an inequality involves drawing a straight line only.

• Graphing an inequality involves shading the region of the graph that satisfies the inequality.

• Graphing an inequality means finding the intersection of two lines.

What is the slope-intercept form of a linear equation?

• y = mx + b, where m is the slope and b is the y-intercept.

• y = ax^2 + bx + c, which is the quadratic form.

• y = mx + c, where m is the slope and c is the y-intercept.

• y = b/x + m, which is the inverse form.

What is the difference between an equation and an inequality?

• An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

• An equation shows that one expression is greater than another, while an inequality states that two expressions are equal.

• An equation is a mathematical statement that includes variables, while an inequality does not.

• An equation can only contain numbers, while an inequality can contain both numbers and variables.

What does it mean if two lines are parallel in a system of equations?

• They intersect at one point.

• They have no solution because they never intersect.

• They have infinitely many solutions.

• They intersect at multiple points.