Question

vocabulary review
complete each definition, and then provide an example of each vocabulary term used.
vocabulary algebraic expression coefficient numerical expression substitution term variable
definition

1. the is the number in front of a variable.
2. an is an expression that contains at least one variable and one operation. a math expression that contains numbers and at least one operation is a
3. you can use to replace a with a number in an expression.

use vocabulary in writing
write an equation or inequality to represent the following situation: 17 is at least 5 more than 3 times x. explain how you wrote your equation or inequality. use vocabulary from topic 2 in your explanation.

Explanation:

1. The coefficient is defined as the number in front of a variable. For example, in the term 5x, 5 is the coefficient.
2. An algebraic expression contains at least one variable and one operation. A numerical expression contains numbers and at least one operation. Example of an algebraic expression: 3x + 2; example of a numerical expression: 4 + 5.
3. Substitution is used to replace a variable with a number in an expression. For example, in the expression 2x, if x = 3, we substitute 3 for x to get 2*3. For the situation "17 is at least 5 more than 3 times x", the inequality is 17≥3x + 5. We know "3 times x" is 3x, "5 more than 3 times x" is 3x+5, and "17 is at least" means 17 is greater than or equal to that quantity.

Answer:

1. Definition: Coefficient; Example: In 5x, 5 is the coefficient.
2. Definition: Algebraic expression; Numerical expression; Example: 3x + 2; 4 + 5
3. Definition: Substitution; Variable; Example: In 2x, if x = 3, substitute 3 for x to get 2*3.

Equation/inequality for the situation: 17≥3x + 5.