Simplifying Expressions with Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you simplify an expression with parentheses?

Back

To simplify an expression with parentheses, apply the distributive property by multiplying the term outside the parentheses by each term inside the parentheses.

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

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in simplifying the expression -\frac{2}{3}(\frac{9}{2}x + \frac{15}{2})?

Back

The first step is to distribute -\frac{2}{3} to both terms inside the parentheses.

Front

What is the result of simplifying 5.45 + 3(0.5g + 0.2)?

Back

The result is 1.5g + 6.05 after distributing and combining like terms.

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors, which can help in simplifying or solving equations.

Front

What is the significance of coefficients in algebraic expressions?

Back

Coefficients are the numerical factors that multiply the variables in an expression, and they determine the value of the terms.

Front

How do you handle negative coefficients in expressions?

Back

When simplifying expressions with negative coefficients, apply the negative sign to the terms being multiplied or added.

Front

What is the simplified form of -10r + 20(-1.5r + 0.75)?

Back

The simplified form is -40r + 15 after distributing and combining like terms.