Mid-Cycle 3 Review

A square is shown below. What is the area of the square expressed as a trinomial in terms of x?

• 25x² + 4

• 25x² - 20x + 4

• 25x² - 20x - 4

• 25x² - 4

Which expression is equivalent to √300?

• 15√20

• 20√15

• 3√10

• 10√3

The expression (x¹⁵)(x⁴)_³ is equivalent to xᵇ. What is the value of b?

• 27

• 22

• 19

• 12

Let f(n) represent the nth term of a sequence. Let f(1) = 12 and let f(n) = 5 + f(n - 1) for n > 1. What is the value of f(10)?

• 57

• 62

• 65

• 67

What is the sum of 5x² + x - 10 and x² + 7? Express your answer in standard form.

• 6x² + x - 3

• 6x² + x - 17

• 6x² + x - 10

• 5x² + x - 3

Which expression is equivalent to 18c⁻⁵d²e⁷ / 6c⁻⁸d⁴e⁵?

• 12c³e² / d²

• 12e² / c¹³d²

• 3c³e² / d²

• 3e² / c¹³d²

A rectangular prism has a width of x inches, a length of x²y inches, and a height of y⁴ inches. Which expression represents the volume in cubic inches of this rectangular prism?

• 7x²y²

• 7x⁴y⁵

• x³y⁴

• x⁴y⁵

Which expression is equivalent to the expression for all values of q and w where the expression is defined?

• 32q⁷ / w

• 20q⁷w⁹

• 32q⁷w⁹

• 20qw

Examine the sequence of integers below. 34, 22, 10, -2, -14, -26. Which algebraic expression represents the nth integer in this sequence?

• 12n - 26

• -12n + 46

• 12n - 46

• -8n + 34

A sequence can be generated by using aₙ = 4aₙ₋₁ where a₁ = 6 and n is a whole number greater than 1. What are the first five terms in the sequence?

• 6, 10, 14, 18, 22

• 6, 24, 96, 384, 1536

• 6, 12, 36, 108, 324

• 6, 12, 48, 192, 768