Question 1

Which of the following is an example of a numerical expression?

Accepted Answer

$$2 	imes 3 + 5$$

Question 2

In the algebraic expression $$7x + 4$$, what is the coefficient?

Accepted Answer

$$7$$

Question 3

Which part of the expression $$5y + 9 is $$the constant?

Accepted Answer

$$9$$

Question 4

What distinguishes an algebraic expression from a numerical expression?

Accepted Answer

Algebraic expressions contain variables that can change value.

Question 5

In the expression $$3a + 2b + 7$$, which term is a constant?

Accepted Answer

$$7$$

Question 6

If $$x$$ represents the number of hours worked and $$15x + 50$$ represents total weekly earnings, what does the $$15$$ represent?

Accepted Answer

The hourly wage (coefficient)

Question 7

Which of the following best describes the role of a coefficient in an algebraic expression?

Accepted Answer

It is a constant that multiplies a variable.

Question 8

Given the expression $$4x + 3y + 2$$, which of the following statements is true?

Accepted Answer

$$2 is $$the constant, $$4$$ and $$3$$ are coefficients.

Question 9

Which of the following real-life scenarios can be modeled by an algebraic expression?

Accepted Answer

Finding the area of a rectangle with length $$l$$ and width $$w$$ using $$lw$$

Question 10

In the context of a chemical reaction, if $$n$$ represents the number of moles of a substance and the total mass is given by $$M = 18n + 5$$, what does the $$5$$ represent?

Accepted Answer

A constant mass added to the total

Question 11

Which of the following is NOT a feature of an algebraic expression?

Accepted Answer

It contains only numbers and no variables.

Question 12

If $$2x + 5$$ represents the cost in dollars to buy $$x$$ movie tickets plus a $$5$$ service fee, what does the $$2$$ represent?

Accepted Answer

The cost per ticket (coefficient)

Question 13

Which of the following expressions is algebraic?

Accepted Answer

$$7x - 2$$

Question 14

In the expression $$6z + 9$$, what is the variable?

Accepted Answer

$$z$$

Question 15

Which of the following best describes a constant in an algebraic expression?

Accepted Answer

A standalone number that does not vary

Introduction to Numerical and Algebraic Expressions

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