Cube Root Equations, Isolate x Cubed First

Teach x² = p and x³ = p side by side so students see why one has two solutions and the other has one. Assign the isolate first sheets next, then use the maze and path puzzle for review.

Isolate x³ in 10 equations such as 2x³ + 7 = 61, then take the cube root for the one solution. The directions on the page read: Get x³ alone first, then take the cube root. Show your work in the box and write the solution on the line. An answer key is included.

Yes, both. We made it for 8th grade square and cube roots, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Every positive number has two square roots, one positive and one negative, and both give the same number when squared. So x² = 64 has the solutions 8 and negative 8, written x = ±8.

Every number has exactly one cube root, with the same sign as the number. So x³ = negative 8 has the single solution x = negative 2.

Get x² alone first with inverse operations. Subtract 5 to get 3x² = 48, divide by 3 to get x² = 16, then take the square root to get x = ±4. Square Root Equations, Isolate x Squared First has 10 equations like this.