6th Grade Final Prep-Part 1 of 4

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of |-26| is 26.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using inverse operations. For example, in the equation x + 5 = 15, subtract 5 from both sides to find x = 10.

Front

What is the formula to find the difference in height between two objects?

Back

The difference in height can be found by subtracting the height of the shorter object from the height of the taller object. For example, if one tree is 20 feet tall and another is 12.25 feet tall, the difference is 20 - 12.25 = 7.75 feet.

Front

How do you multiply decimals?

Back

To multiply decimals, multiply the numbers as if they were whole numbers, then count the total number of decimal places in both numbers and place the decimal in the product accordingly. For example, 3.25 x 2.7 = 8.775.

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power. For example, 100 + 20h is a linear expression.

Front

What does 'h' represent in the expression 100 + 20h?

Back

In the expression 100 + 20h, 'h' represents the number of hours. The expression calculates the total cost based on a fixed charge and a variable hourly rate.

Front

What is the difference between a constant and a variable?

Back

A constant is a fixed value that does not change, while a variable is a symbol (like x or h) that represents an unknown value that can change.

Front

What is the process of evaluating an expression?

Back

Evaluating an expression involves substituting the values of the variables into the expression and performing the operations to find the result.

Front

What is the significance of the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed in an expression. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

How do you find the absolute value of a negative number?

Back

To find the absolute value of a negative number, simply remove the negative sign. For example, the absolute value of -5 is 5.