Solving Algebraic Equations - 7XY

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables, constants, and operations such as addition, subtraction, multiplication, and division.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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

Solve for x: 7(1 - y) = -3(y - 2)

Back

x = \frac{1}{4}

Front

Solve the equation: 3(x - 1) = 2x + 9

Back

x = 12

Front

Back

x = 7

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions and equations.

Front

Combine like terms: 2x - 3 + 4x = ?

Back

6x - 3

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.