Question

Match the vocabulary word with its definition.

an expression that uses variables to state a rule evaluate
to replace a variable in a mathematical expression with an actual value substitute
to find the value of a mathematical expression using the order of operations formula
what a number or expression is worth expression
a single term; multiple terms connected by an addition or subtraction sign value
a. 1-substitute, 2-value, 3-formula, 4-expression, 5-evaluate
b. 1-formula, 2-evaluate, 3-substitute, 4-value, 5-expression
c. 1-evaluate, 2-substitute, 3-expression, 4-value, 5-formula
d. 1-value, 2-expression, 3-formula, 4-substitute, 5-evaluate

Answer 1

To match each vocabulary word with its definition, one must understand the meaning of each term. The correct matches are: evaluate, substitute, expression, value, and formula, resulting in choice c. Variables in expressions are arbitrary and can be chosen freely to suit the equation structure.

Step-by-step explanation:

To match the vocabulary word with its definition, let's look at each pair individually:

1. Substitute: to replace a variable in a mathematical expression with an actual value.
2. Value: what a number or expression is worth.
3. Formula: an expression that uses variables to state a rule.
4. Expression: a single term; multiple terms connected by an addition or subtraction sign.
5. Evaluate: to find the value of a mathematical expression using the order of operations.

With these definitions in mind, the correct match would be:

1. Substitute - 1
2. Value - 4
3. Formula - 3
4. Expression - 5
5. Evaluate - 2

This makes the correct answer c. 1-evaluate, 2-substitute, 3-expression, 4-value, 5-formula.

It's important to note that variables in these expressions and formulas, such as x, y, b, and m, are arbitrary and can be substituted with any other letter or symbol, as long as it's done consistently throughout the equation. This versatility benefits students when creating their own formulas, helping to reinforce their understanding of the structure and concept of equations.