Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for v: 6(6v + 6) - 5 = 1 + 6v

Back

v = -1

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 opposite side.

Front

Solve for k: -4k + 2(5k - 6) = -3k - 39

Back

k = -3

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. It can be written in the form ax + b = 0.

Front

Solve for n: 137 = 5(1 - 8n) - 4n

Back

n = -3

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve by reducing the number of terms.

Front

Solve for x: -x + 21 = 6x - 14

Back

x = 5

Front

What is the concept of 'balancing' an equation?

Back

Balancing an equation means performing the same operation on both sides of the equation to maintain equality.

Front

Solve for v: - (3v + 1) + 7(6v + 6) = -37

Back

v = -2