Math: Pre-Algebra Key Concepts

What does the acronym PEMDAS stand for in the order of operations?

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

What does the absolute value of a number represent?

The absolute value of a number represents its distance from zero on the number line, which is always positive or zero.

What is the rule for adding two negative integers?

When adding two negative integers, you add their absolute values and keep the negative sign.

What is the point (0,0) called on the coordinate plane?

The point (0,0) on the coordinate plane is called the origin.

What is a variable in algebra?

A variable is a letter or symbol used to represent an unknown or changeable numerical value.

In the expression 5^3, what does the exponent 3 indicate?

The exponent 3 indicates that the base, 5, is multiplied by itself three times (5 × 5 × 5).

How do you subtract a negative integer from another number, such as 5 - (-3)?

To subtract a negative integer, you change the subtraction to addition and change the sign of the second number, making 5 - (-3) equal to 5 + 3 = 8.

What is the sign of the product when you multiply a negative integer by a positive integer?

The product of a negative integer and a positive integer is always negative.

How do you isolate the variable in the equation x + 7 = 12?

To isolate the variable in x + 7 = 12, you perform the inverse operation by subtracting 7 from both sides, resulting in x = 5.

What is the first step to solve the equation 4y = 24?

The first step to solve 4y = 24 is to divide both sides of the equation by 4 to isolate y, giving y = 6.