Expand, factor, and simplify algebraic and exponential expressions to identify equivalent forms.
86 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 - 4)?
Expanding (x - 2)(x - 4) gives x² + (-2 + -4)x + (-2)(-4) = x² - 6x + 8.
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.
Which expression is equivalent to (x - 4)(x + 2)?
Expanding (x - 4)(x + 2) gives x² + (-4 + 2)x + (-4)(2) = x² - 2x - 8.
Which expression is equivalent to (x + 1)(x - 6)?
Expanding (x + 1)(x - 6) gives x² + (1 + -6)x + (1)(-6) = x² - 5x - 6.