NJGPA Practice

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope rises from left to right, while a negative slope falls from left to right.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial involves rewriting it as a product of its factors, which are simpler polynomials that, when multiplied together, give the original polynomial.

Front

What is the formula for the cost of tickets sold if adult tickets are $3.00 each and student tickets are $1.50 each?

Back

The total cost can be expressed as 3.00a + 1.50s, where 'a' is the number of adult tickets and 's' is the number of student tickets.

Front

How do you solve a system of equations?

Back

You can solve a system of equations using methods such as substitution, elimination, or graphing to find the values of the variables that satisfy both equations.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

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

Back

The slope indicates how much y changes for a unit change in x. It represents the rate of change of the dependent variable.

Front

What is the process of graphing a linear equation?

Back

To graph a linear equation, identify the y-intercept, use the slope to find another point, and draw a straight line through these points.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What does it mean for a polynomial to be quadratic?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax^2 + bx + c, where a, b, and c are constants.