SY23-24 Standard Unit 2 Expressions, Equations , Inequalities

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

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you solve the equation 2(4x - 4) + 3x = 3?

Back

First, distribute: 8x - 8 + 3x = 3. Combine like terms: 11x - 8 = 3. Then, add 8 to both sides: 11x = 11. Finally, divide by 11: x = 1.

Front

What is the solution to the equation -2.6 + x = -4.6?

Back

To solve for x, add 2.6 to both sides: x = -4.6 + 2.6, which simplifies to x = -2.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power.