An expression is a collection of pronumerals, numbers and operators without an equals sign
(e.g. 3).
An equation is a mathematical statement stating that two things are equal, (e.g. + 3 = 4y— 2).
Equations have a left-hand side (LHS), a right-hand side (RHS) and an equals sign in between.
LHS RHS
Equations are mathematical statements that can be true (e.g. 2 + 3 5) or false (e.g. 5 +7 21).
If a pronumeral is included in an equation, you need to know the value to substitute before
deciding whether the equation is true. For example, 3x 12 would be true if 4 is substituted for x,
but it would be false if 10 is substituted.
An expression is a mathematical phrase that combines numbers, variables, and operators to represent a value. It does not contain an equals sign and cannot be true or false. Examples of expressions include:
- 3x + 2y
- 5 - 2
- 2a^2
An equation, on the other hand, is a mathematical statement that asserts that two expressions are equal. It includes an equals sign and can be true or false depending on the values assigned to the variables. Examples of equations include:
- 3x + 2y = 10
- x^2 - 4 = 0
- 2a + 3b = a + 2b + 5
To determine if an equation is true or false, you need to substitute specific values for the variables present in the equation. If the resulting expression on the left-hand side (LHS) is equal to the expression on the right-hand side (RHS), then the equation is true. Otherwise, it is false.
That is correct. An expression is a combination of pronumerals, numbers, and operators, but it does not have an equals sign. It represents a mathematical calculation or computation.
On the other hand, an equation is a mathematical statement that asserts equality between two expressions. It consists of a left-hand side (LHS), a right-hand side (RHS), and an equals sign in between. Equations can be true or false depending on the values assigned to the pronumerals.
When a pronumeral is included in an equation, you need to substitute a specific value for that pronumeral to determine whether the equation is true or false. For example, if you have the equation 3x = 12, substituting x = 4 would make the equation true (3 * 4 = 12), but substituting x = 10 would make the equation false (3 * 10 ≠ 12).