Alg 1 ACP Review 1

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

How do you represent a system of equations?

Back

A system of equations is represented by two or more equations that share the same variables. Solutions to the system are the values of the variables that satisfy all equations simultaneously.

Front

What does it mean for y to vary directly as x?

Back

If y varies directly as x, it means that y = kx for some constant k. This indicates a linear relationship where y increases or decreases proportionally with x.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to maintain equality.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

What is a linear equation?

Back

A linear equation is an equation that forms 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 is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the slope of a line given two points?

Back

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

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, representing the value of y when x = 0.

Front

What is a system of equations used for in real-world problems?

Back

A system of equations is used to model and solve problems involving multiple variables and constraints, such as budgeting, resource allocation, and optimization.