Operations with Integers and Word Problems

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

What is the absolute value of an integer?

Back

The absolute value of an integer is its distance from zero on the number line, regardless of direction. For example, |-5| = 5.

Front

How do you add two integers with the same sign?

Back

When adding two integers with the same sign, add their absolute values and keep the common sign. For example, -3 + -5 = -8.

Front

How do you add two integers with different signs?

Back

When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value. For example, -3 + 5 = 2.

Front

What is the rule for subtracting integers?

Back

To subtract an integer, add its opposite. For example, 5 - (-3) = 5 + 3 = 8.

Front

What is the product of two negative integers?

Back

The product of two negative integers is positive. For example, -2 * -3 = 6.

Front

What is the product of a positive integer and a negative integer?

Back

The product of a positive integer and a negative integer is negative. For example, 4 * -2 = -8.

Front

What is the equation of a line of best fit?

Back

The equation of a line of best fit is a linear equation that best represents the data points on a graph, often in the form y = mx + b.

Front

How do you interpret the slope of a line in a graph?

Back

The slope of a line represents the rate of change between the variables on the x and y axes. A positive slope indicates a direct relationship, while a negative slope indicates an inverse relationship.

Front

What does a positive correlation in a graph indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.