6th Grade Expressions and Equations

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

Front

How do you solve for x in the equation x + 2.6 = 10.4?

Back

To solve for x, subtract 2.6 from both sides: x = 10.4 - 2.6, so x = 7.8.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with numbers and performing the operations.

Front

What is the first step in solving the equation x - 2.6 = 10.4?

Back

The first step is to add 2.6 to both sides of the equation to isolate x.

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as a/b, where 'a' is the numerator and 'b' is the denominator.

Front

How do you find a fraction of a number?

Back

To find a fraction of a number, multiply the number by the numerator and then divide by the denominator.

Front

What is the formula to find the total number of students in a school if 2/9 are in sixth grade?

Back

If x is the total number of students, then the number of sixth graders is (2/9) * x.

Front

If a pitcher contains 10.4 liters after adding 2.6 liters, how do you find the initial amount of water?

Back

Subtract the amount added from the total: Initial amount = Total - Added amount = 10.4 - 2.6 = 7.8 liters.

Front

What is the relationship between variables in an equation?

Back

The relationship shows how one variable depends on another, often expressed through operations and constants.