Algebra Basics

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What is a variable in algebra?

A variable is a symbol used to represent a number.

What is the solution to the equation x + 5 = 12?

x = 7.

What is the value of x if 3x = 21?

x = 7.

What does it mean to solve an equation?

To solve an equation means to find the value of the variable.

What are like terms in algebra?

Like terms have the same variable raised to the same power.

How do you simplify the expression 2x + 3x?

2x + 3x simplifies to 5x.

What is an algebraic expression?

An algebraic expression contains numbers, variables, and operations.

What is the distributive property?

The distributive property is a(b + c) = ab + ac.

What is the value of x if 7 - x = 4?

x = 3.

How do you write the equation for a line in slope-intercept form?

In slope-intercept form, it is y = mx + b.

What is meant by the term 'coefficient'?

A coefficient is a number multiplied by a variable.

If 2x = 10, what is the value of x?

x = 5.

What is the inverse operation of addition?

The inverse operation of addition is subtraction.

What is an equation?

An equation is a statement that shows two expressions are equal.

How do you isolate the variable in the equation x - 4 = 10?

Add 4 to both sides to isolate x, making x = 14.