Algebra Keystone Module 1 Practice Test (2025)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 3x^2 + 2x - 5 is a polynomial.

Front

How do you solve for variables in an equation?

Back

To solve for variables in an equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

Front

What is the formula for the slope of a line?

Back

The slope (m) of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you find the total cost of items including tax?

Back

To find the total cost including tax, multiply the total cost of items by the tax rate (as a decimal) and then add that amount to the original total cost.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves shading the region of the graph that satisfies the inequality. A solid line is used for 'greater than or equal to' and 'less than or equal to', while a dashed line is used for 'greater than' and 'less than'.

Front

What is the purpose of a delivery fee in a cost equation?

Back

A delivery fee is a fixed cost added to the total variable cost of items ordered. It affects the total cost equation by adding a constant to the variable cost.

Front

How do you determine when two linear functions intersect?

Back

Two linear functions intersect when their outputs (y-values) are equal for the same input (x-value). This can be found by setting the equations equal to each other and solving for x.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0 in the equation y = mx + b.