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Front

What is the distributive property in algebra?

Back

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

Front

How do you simplify the expression 8(5 + w)?

Back

By applying the distributive property, you get 8 * 5 + 8 * w = 40 + 8w.

Front

What is the first step to solve the equation 3x + 2(4x - 4) = 3?

Back

First, apply the distributive property to simplify the equation: 3x + 8x - 8 = 3.

Front

What is the solution to the equation 4(a + 3) = -32?

Back

First, simplify to 4a + 12 = -32, then solve for a: 4a = -44, so a = -11.

Front

How do you combine like terms in the expression a - 8 - 10?

Back

Combine -8 and -10 to get a - 18.

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 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.

Front

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

Back

The solution is x = 1.

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What is the result of simplifying the expression 2(3x + 4) - 5?

Back

The result is 6x + 8 - 5 = 6x + 3.