Landon Practice Problems

Front

What does it mean for a graph to be proportional?

Back

A proportional graph is one where the relationship between the variables can be expressed as a constant ratio, meaning that as one variable increases, the other variable increases at a constant rate.

Front

What is the formula to find a percentage of a number?

Back

To find a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 40% of 75, calculate 75 * 0.40 = 30.

Front

What is slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope from an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation. For example, in y = 2x + 5, the slope is 2.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

How can you determine if a relationship is non-proportional?

Back

A relationship is non-proportional if the ratio between the two variables is not constant, meaning that as one variable changes, the other does not change at a consistent rate.

Front

What is the significance of the equation y = 2x?

Back

This equation represents a linear relationship where for every increase of 1 in x, y increases by 2, indicating a slope of 2.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 4/5 = 0.8.

Front

What does it mean for a line to have a negative slope?

Back

A line with a negative slope decreases as it moves from left to right, indicating that as one variable increases, the other variable decreases.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept, set x to 0 in the equation and solve for y. For example, in y = -2x + 5, when x = 0, y = 5.