7th grade First Semester Review 3

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you calculate the total cost of multiple items?

Back

Multiply the price of one item by the number of items. For example, if one box costs $0.95 and you buy 3 boxes, the total cost is 0.95 * 3 = $2.85.

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.

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, represented by the value of b in the equation y = mx + b.

Front

How do you find the rate of change from a table of values?

Back

The rate of change can be found by taking the difference in y-values divided by the difference in x-values between two points.

Front

What is the solution to the equation 5x + 2 = 12?

Back

To solve for x, subtract 2 from both sides to get 5x = 10, then divide by 5 to find x = 2.

Front

What is the meaning of the symbol '<' in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What is the meaning of the symbol '≤' in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find the y-intercept (b) and plot it on the y-axis, then use the slope (m) to find another point.