Simplifying expressions with fractions

Front

What is the process of simplifying an expression with fractions?

Back

The process involves combining like terms, applying the distributive property, and reducing fractions to their simplest form.

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 two or more terms inside parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you combine like terms in an expression?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What does it mean to write an expression in simplest form?

Back

Writing an expression in simplest form means reducing it to the least complex version, where no further simplification is possible.

Tags

CCSS.7.EE.A.1

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

Tags

CCSS.6.EE.A.2B

Front

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

Back

First, apply the distributive property: -6x + 4(-x) + 4(-3) = -6x - 4x - 12. Then combine like terms: -10x - 12.

Tags

CCSS.6.EE.A.3

Front

What is the result of simplifying the expression 2x - (5x + 12)?

Back

First, distribute the negative sign: 2x - 5x - 12 = -3x - 12.

Tags

CCSS.7.EE.A.1

Front

How do you simplify the expression -3(x - 2) + 8(2x + 1)?

Back

Apply the distributive property: -3x + 6 + 16x + 8. Combine like terms: 13x + 14.

Tags

CCSS.6.EE.A.3

Front

What is the simplified form of the expression 2(3x - 1) + 10?

Back

Distribute: 6x - 2 + 10 = 6x + 8.

Tags

CCSS.6.EE.A.3

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.

Tags

CCSS.6.EE.A.2B