Distribute and Combine

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 3(4y + 5) - 2y?

Back

First, apply the distributive property: 3 * 4y + 3 * 5 - 2y = 12y + 15 - 2y = 10y + 15.

Front

What is the result of simplifying the expression 9 - 2(3x + 4)?

Back

First, distribute -2: 9 - 6x - 8 = 1 - 6x.

Front

How do you simplify the expression 4(4x - 8) - 2x?

Back

Distribute 4: 16x - 32 - 2x = 14x - 32.

Front

What is the simplified form of -7x + 5(1 - 8x)?

Back

Distribute 5: -7x + 5 - 40x = 5 - 47x.

Front

How do you simplify the expression 6(2x - 3) + 4x?

Back

Distribute 6: 12x - 18 + 4x = 16x - 18.

Front

What is the first step in simplifying an expression with parentheses?

Back

The first step is to apply the distributive property to eliminate the parentheses.

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is a like term?

Back

Like terms are terms that have the same variable and exponent, such as 3x and 5x.

Front

How do you identify the coefficient in a term?

Back

The coefficient is the numerical factor in a term, such as 3 in 3x.