Math MAVS Equation Flashcard

Front

What is the equation to represent Scott's car bill if he charges $35 for each car plus $7 per hour and Kylie's car bill was $63?

Back

7x + 35 = 63

Front

How do you write the equation with a slope of 4/5 and a y-intercept of -1?

Back

y = \frac{4}{5}x - 1

Front

Back

x = 30

Front

Write an equation to find the cost per bar if a contractor buys 525 metal bars, receives a $420 discount, and the total price is $3,780 after the discount.

Back

525b - 420 = 3780

Front

Back

x = 3

Front

What is the definition of a linear equation?

Back

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

Front

What does slope represent in a linear equation?

Back

Slope represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first in an equation, following the order of operations.