Name: __________________________ Algebra 1 Period: _______
Date: _____________
Scaffold Handout : Solving Quadratic Equations using Square roots as Inverse Operations
Directions: You must do at least 9 problems from your proficiency level and 4 from the other 2 levels
LEVEL 1: Developing- I can solve basic one step equations involving square roots as inverse operations
𝑥𝑥 2 = 25
𝑥𝑥 2 = 144
𝑥𝑥 2 = 121
𝑥𝑥 2 = 42
𝑥𝑥 2 = 108
𝑥𝑥 2 = 13
2𝑥𝑥 2 = 36
3𝑥𝑥 2 = 27
4𝑥𝑥 2 = 32
𝑥𝑥 2
=2
9
𝑥𝑥 2
= 18
2
𝑥𝑥 2
= 27
3
LEVEL 2: Proficient- I can solve one and two step equations involving square roots as inverse operations
−10 + 𝑥𝑥 2 = −6
27 = 14 + 𝑥𝑥 2
(3𝑥𝑥 − 30)2 − 9 = 0
(2𝑥𝑥 − 1)2 + 4 = 9
𝑥𝑥 2
2( ) = 18
8
(𝑥𝑥 + 4)2 = 9
−3 + (3𝑥𝑥)2 = 6
(4 − 𝑥𝑥)2 = 5
4𝑥𝑥 2 = (𝑥𝑥 − 8)2
(𝑥𝑥 − 110)2 = 144 (6𝑥𝑥 + 1)2 − 4 = 12
4𝑥𝑥 2
= 27
2
LEVEL 3: Advanced- I can solve multi- step equations involving square roots and squares as inverse
operations
−5 + (2𝑥𝑥)2 = 11
(𝑥𝑥 − 5)2 = 𝑥𝑥 2
(2𝑥𝑥 − 32)2 − 17 = 1 2(𝑥𝑥 − 3)2 + 1 = 7
√2𝑥𝑥 − 1 + 4 = 9
4(𝑥𝑥 − 5)2 + 5 = 𝑥𝑥 4
√3𝑥𝑥 = 𝑥𝑥
√2𝑥𝑥 − 1 + 4 = √𝑥𝑥
4𝑥𝑥 4 = (−5𝑥𝑥 + 3)2
√𝑥𝑥 − 8 = √2𝑥𝑥 − 32
3(2𝑥𝑥 + 1)2 = 12
4𝑥𝑥 4
= 36
2