Algebraic Equations Flashcard

Front

Solve the equation: 15 - 9p + 12 = 2 - 8p

Back

p = 2

Front

Solve the equation: 8m - 4 = -3(6 - 3m) + 16

Back

m = 2

Front

Solve the equation: 2(g + 4) = 10 + g

Back

g = 2

Front

Solve the equation: -36 = 4(2a - 5) - 6a

Back

a = 3

Front

Solve the equation: 2 - 15h = -.5h + 3(8 - 4h)

Back

h = 1

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically containing variables and constants.

Front

What is the purpose of solving an algebraic equation?

Back

The purpose is to find the value of the variable that makes the equation true.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.