PSAT MATH PRACTICE

Front

What is the condition for an equation to have an infinite number of solutions?

Back

The coefficients of the variables must be proportional, and the constant terms must also be proportional.

Front

What does the y-intercept of a linear equation represent in a real-world context?

Back

It represents the value of y when x is zero, often indicating the starting point of a situation.

Front

How do you solve a system of equations?

Back

You can use substitution, elimination, or graphing methods to find the values of the variables that satisfy both equations.

Front

What is the formula for calculating the total cost including tax?

Back

Total Cost = (Cost of items) * (1 + Tax Rate).

Front

What does the term 'coefficient' mean in algebra?

Back

A coefficient is a numerical factor in a term of an algebraic expression.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x, showing how steep the line is.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you find the value of a variable in a linear equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is a system of equations?

Back

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

Front

What does it mean for two lines to be parallel in terms of their equations?

Back

Two lines are parallel if they have the same slope but different y-intercepts.