Beginning & Intermediate Algebra
Write the repeated multiplication 3 × 3 × 3 × 3 × 3 in exponent notation and give the standard verbal reading.
Use grouping to compute 210 efficiently and select the correct value.
For which integers n is the equality (-2)n = -2n true? Select the best answer and justify by parity reasoning.
Which statement best explains why we substitute numbers only for variables and not for coefficients or constants in an algebraic expression?
Evaluate -2y3 when y = -2. Be careful to compute the exponent first and handle signs correctly.
Evaluate the expression (3/4)p + 2 when p = -8/3.
In the algebraic expression 5y + 8 - 2, which option correctly identifies the variable and the constants (including the coefficient as a constant multiplier)?
Translate "the quotient of 1212 and a number mm" into an algebraic expression using fractional notation.
Which algebraic expression best captures the meaning of the sentence: "A number decreased by 4 is less than 10"? Choose the expression that translates the inequality and justify the operand order.
Why are the terms x2 and x3 not like terms?
Simplify by distributing and combining like terms: -2(3x - 4) + 5x.
Fully simplify: 3x2 + 2xy - x2 + 4 - 3xy + 6.
