Square and cube equations Practice Questions (Grade 8)

Square and cube equations (ACT/SAT). Game on.

Square and cube equations (ACT/SAT) is a grade 8 math skill aligned to Common Core standard 8.EE.A.2: use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ = p, where p is a positive rational number. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 square and cube equations (act/sat) problems our math games drill.

CCSS 8.EE.A.215 questions in the bank

8 plays. No signup.

Warm-upeasy

Solve for all values of $x\textsf{.}$

$x^{2} = 81$

$9 \times 9 = 81$ and $(-9) \times (-9) = 81\textsf{,}$ so $x = \pm 9\textsf{.}$

Mid-gameeasy

Solve for all values of $x\textsf{.}$

$x^{2} = 64$

$8 \times 8 = 64$ and $(-8) \times (-8) = 64\textsf{,}$ so $x = \pm 8\textsf{.}$

Mid-gameeasy

Solve for all values of $x\textsf{.}$

$x^{3} = -64$

$(-4) \times (-4) \times (-4) = -64\textsf{,}$ so $x = -4\textsf{.}$

Mid-gameeasy

Solve for all values of $x\textsf{.}$

$x^{2} = 196$

$14 \times 14 = 196$ and $(-14) \times (-14) = 196\textsf{,}$ so $x = \pm 14\textsf{.}$

Mid-gameeasy

Solve for all values of $x\textsf{.}$

$x^{2} = 225$

$15 \times 15 = 225$ and $(-15) \times (-15) = 225\textsf{,}$ so $x = \pm 15\textsf{.}$

Mid-gameeasy

Solve for all values of $x\textsf{.}$

$x^{2} = 400$

$20 \times 20 = 400$ and $(-20) \times (-20) = 400\textsf{,}$ so $x = \pm 20\textsf{.}$

Mid-gameeasy

Solve for all values of $x\textsf{.}$

$x^{3} = 125$

$5 \times 5 \times 5 = 125\textsf{,}$ so $x = 5\textsf{.}$

Buzzer beatereasy

Solve for all values of $x\textsf{.}$

$x^{3} = 1{,}000$

$10 \times 10 \times 10 = 1{,}000\textsf{,}$ so $x = 10\textsf{.}$

Square and cube equations (ACT/SAT). Game on.

8 plays. No signup.

7 more. Played, not assigned.

Drill it inside a game.