Alg 1 ACP Review 1

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and express them in a system.

Front

What does it mean for two variables to vary directly?

Back

Two variables vary directly if they have a constant ratio, meaning as one variable increases, the other increases proportionally.

Front

What is the formula for direct variation?

Back

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

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

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

Front

How do you graph a linear equation?

Back

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

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you solve a system of equations graphically?

Back

To solve graphically, plot both equations on the same graph and identify the point(s) where they intersect.