Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

How do you find a missing number in an equation?

Back

To find a missing number in an equation, isolate the variable or the missing number by performing inverse operations on both sides of the equation.

Front

What is the process to factor an expression like 36x + 24?

Back

To factor the expression 36x + 24, identify the greatest common factor (GCF), which is 12, and rewrite the expression as 12(3x + 2).

Front

What does it mean to evaluate an expression?

Back

Evaluating an expression means substituting the values of the variables into the expression and performing the necessary arithmetic operations to find the result.

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 each term inside a parenthesis.

Front

How can you represent the area of a rectangle?

Back

The area of a rectangle can be represented by the expression length × width.

Front

What is the significance of the GCF in factoring expressions?

Back

The GCF helps simplify expressions and makes it easier to solve equations by factoring out common terms.

Front

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

Back

You can simplify the expression by distributing the 6: 6(x + 4) = 6x + 24.

Front

What is the value of the expression 2a + 6b when a = 4 and b = 5?

Back

Substituting the values gives: 2(4) + 6(5) = 8 + 30 = 38.

Front

What is an example of an equivalent expression for 2(3 + 5)?

Back

An equivalent expression for 2(3 + 5) is 2 × 8, which equals 16.