Question 1

Which of the following is the correct exponential expression for the product $$3 	imes 3 	imes 3 	imes 3 	imes 3$$?

Accepted Answer

$$3^5$$

Question 2

Evaluate $$2^3.$$

Accepted Answer

$$8$$

Question 3

Which of the following expressions is equivalent to $$\left( \dfrac{1}{2} \$$right)^4$$?

Accepted Answer

$$\dfrac{1}{16}$$

Question 4

A number with no exponent written is understood to have an exponent of:

Accepted Answer

$$1$$

Question 5

Which of the following is an algebraic expression?

Accepted Answer

$$2x + 5$$

Question 6

Evaluate $$2x + 5$$ when $$x = 3.$$

Accepted Answer

$$11$$

Question 7

Translate the phrase: 'The sum of 17 and a number' into an algebraic expression.

Accepted Answer

$$17 + x$$

Question 8

Which of the following is a coefficient in the expression $$4x + 7$$?

Accepted Answer

$$4$$

Question 9

Combine like terms in the expression $$3a + 4a.$$

Accepted Answer

$$7a$$

Question 10

Simplify the expression $$2(x + 3) + 5x.$$

Accepted Answer

$$7x + 6$$

Question 11

Which of the following is NOT a like term with $$5x^2$$?

Accepted Answer

$$2x$$

Question 12

Evaluate the expression $$2x + 3y - z^2$ when x = 1$, y = 4$, and z = -2$.

Accepted Answer

$$8$$

Question 13

Translate the phrase: 'Negative three times the value of x increased by 5' into an algebraic expression.

Accepted Answer

$$-3(x + 5)$$

Question 14

Simplify the expression $$3x + 5x - 2x.$$

Accepted Answer

$$6x$$

Question 15

Which of the following best represents the phrase: 'The quotient of a number and three, increased by seven'?

Accepted Answer

$$\dfrac{x}{3} + 7$$

Question 16

Combine like terms in the expression $$2x^2 + 3x$$ - $$x^2 + 4$.

Accepted Answer

$$x^2 + 3x + 4$

Question 17

A water tank contains 10 liters of water. If it is being filled at a rate of 4 liters per minute, which expression represents the amount of water in the tank after $$t$$ minutes?

Accepted Answer

$$10 + 4t$$

Question 18

Simplify the expression $$5(a + 2) - 3(a - 4).$$

Accepted Answer

$$2a + 22$$

Question 19

Which of the following is the correct translation for 'half of the difference between y and 4'?

Accepted Answer

$$\dfrac{y - 4}{2}$$

Question 20

Simplify the expression $$3(x + 2) - 2(x - 1).$$

Accepted Answer

$$x + 8$$

Introduction to Algebraic Expressions: Exponents, Expressions, and Simplification

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