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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