Q: Which of the following is the expanded form of $$a^5$$?

$$a \times a \times a \times a \times a$$

Question 1

Which of the following is an algebraic expression?

Accepted Answer

$$3x - 5$$

Question 2

In the expression $$4x^2 + 7x - 3$, what is the coefficient of x$?

Accepted Answer

$$7$$

Question 3

Evaluate the expression $$2x + 3y$$ when $$x = 4$$ and $$y = -5.$$

Accepted Answer

Question 4

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

Accepted Answer

A number without variables whose value does not vary

Question 5

Simplify the expression $$-3(5 - x) + 10 - 7x.$$

Accepted Answer

$$-5 - 4x$$

Question 6

Which of the following is the correct order of operations for evaluating algebraic expressions?

Accepted Answer

Parentheses, Exponents, Multiply/Divide, Add/Subtract

Question 7

If $$x = -3$$ and $$y = 2$$, evaluate $$2x^2 + 3y$.

Accepted Answer

$$18$$

Question 8

Which of the following terms are 'like terms' in the expression $$5x^2 + 3x$$ - $$2x^2 + 7$?

Accepted Answer

$$5x^2$$ and $$-2x^2$$

Question 9

Simplify the expression $$2x + 3 + 4(x + 2).$$

Accepted Answer

$$6x + 11$$

Question 10

Which of the following is the expanded form of $$a^5$$?

Accepted Answer

$$a 	imes a 	imes a 	imes a 	imes a$$

Question 11

A chemist is mixing two solutions. The total cost $$C (in $$dollars) is given by $$C = 3x + 2y$$, where $$x is $$the liters of solution A and $$y is $$the liters of solution B. If $$x = 5$$ and $$y = 4$$, what is the total cost?

Accepted Answer

$$23$$

Question 12

Which of the following is NOT an algebraic expression?

Accepted Answer

$$= 10$$

Question 13

Simplify the expression $$3x + 14y - 7(-x + 2y).$$

Accepted Answer

$$10x$$

Question 14

If $$x = 2$$ and $$y = 5$$, evaluate $$2y - x(3 + y).$$

Accepted Answer

$$10 - 2(8) = -6$$

Question 15

Which of the following best describes 'like terms'?

Accepted Answer

Terms with the same variable raised to the same power

Question 16

A medical researcher models the dosage $$D (in mg) of a $$drug as $$D = 2x^2$ + 5$$, where $$x is $$the patient's weight in kg. If a patient weighs $$3 kg$$, what is the dosage?

Accepted Answer

$$23$$

Question 17

Simplify the expression $$4x + 6 - 3(x + 2).$$

Accepted Answer

$$x$$

Question 18

Which of the following is the coefficient in the term $$-7xy$$?

Accepted Answer

$$-7$$

Question 19

A business's profit $$P is $$modeled by $$P = 5x - 2y + 10$$, where $$x is $$the number of products sold and $$y is $$the number of defective products. If $$x = 20$$ and $$y = 3$$, what is the profit?

Accepted Answer

$$96$$

Question 20

Which of the following steps is NOT part of simplifying an algebraic expression?

Accepted Answer

Multiply all terms together

Algebraic Expressions: Foundations, Evaluation, and Simplification

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