7th Math Midterm Review Flashcard

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the rate of change in a linear equation?

Back

The rate of change is the slope of the line, representing how much y changes for a unit change in x.

Front

If a line has a slope of 2/3, what does this indicate about the relationship between x and y?

Back

For every 3 units increase in x, y increases by 2 units.

Front

What is the y-intercept in the equation y = 5x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

How can you represent a situation where a quantity increases by a constant amount over time?

Back

This can be represented by a linear equation in the form y = mx + b, where m is the constant rate of increase.

Front

What is the initial value in a linear equation?

Back

The initial value is the value of y when x = 0, represented by b in the slope-intercept form.

Front

How do you write an equation for a situation where a person starts with a certain amount and adds more over time?

Back

You can use the equation y = initial amount + (rate of change * time).

Front

What does the term 'proportional' mean in mathematics?

Back

Proportional means that two quantities maintain a constant ratio to each other.