Intermediate Algebra
Which of the following correctly represents "seven cubed" and is equivalent to 7 × 7 × 7?
Compute 54 using grouping (for example, via (52)2).
For which integers n is the equality (-2)n = -2n true? Select the best answer and justify by parity reasoning.
Evaluate the expression 4x - 3 when x = 2.
Evaluate −4(23 − 32). Compute the powers first, then find the difference, and finally perform the multiplication.
Evaluate the expression 1/2 · (-4)2 - 1/3 and present the exact fractional result.
Translate the phrase "seven more than a number" into an algebraic expression using a variable n.
Translate "five less than twice a number n" into an algebraic expression, paying attention to operand order.
A student's final grade F is calculated as 40% of their midterm score m plus 60% of their final exam score e, and then 5 points are added for attendance. Translate this rule into an algebraic expression for F.
Combine like terms and simplify: -x + 4x - 3 + 7.
Distribute and simplify: 3(2x - 4) - 2(x - 5).
Are the terms 2a2b and -3ab2 like terms? Select the best justification.
