Expand, factor, and simplify algebraic and exponential expressions to identify equivalent forms.
60 original equivalent expressions questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.
Which expression is equivalent to (x - 2)(x - 6)?
Expanding (x - 2)(x - 6) gives x² + (-2 + -6)x + (-2)(-6) = x² - 8x + 12.
Which expression is equivalent to (x - 4)(x - 6)?
Expanding (x - 4)(x - 6) gives x² + (-4 + -6)x + (-4)(-6) = x² - 10x + 24.
Which expression is equivalent to (x - 1)(x + 4)?
Expanding (x - 1)(x + 4) gives x² + (-1 + 4)x + (-1)(4) = x² + 3x - 4.
Which expression is equivalent to (x + 2)(x + 2)?
Expanding (x + 2)(x + 2) gives x² + (2 + 2)x + (2)(2) = x² + 4x + 4.
Which expression is equivalent to (x + 2)(x + 4)?
Expanding (x + 2)(x + 4) gives x² + (2 + 4)x + (2)(4) = x² + 6x + 8.