Solve
sqrtx = 10
x = 100
Describe the Transformation.
y = sqrt(x+5) - 4
5 units to the left
4 units down
What is the first step to solve this problem?
sqrt(x+2) = 8
Square both sides of the equation.
Student solved this equation. Find the mistake.
sqrtx = 5
x = 5
Student forgot to square both sides.
x = 25
2sqrtx = 8
x = 16
Describe the transformation.
y = - sqrtx
Reflection in the x-axis.
What is the first step to solve this equation?
sqrtx - 4 = 12
Add 4 to both sides of the equation.
Find the student's mistake.
sqrtx - 2 = 5
sqrtx = 3
x = 9
The student needed to add 2 to both sides, instead of subtracting 2.
sqrtx = 7
x = 49
sqrt(x+5) = 3
x = 4
Describe the transformation.
y = sqrt(-x)
Reflection in the y-axis.
What is the first step to solve this equation?
9sqrtx = 36
Divide both sides by 9.
Find the student's mistake.
sqrtx + 4 = 14
sqrtx = 10
x = 20
The student forgot that 10 squared is 10 times 10.
So,
x = 100
-8sqrtx = -40
x = 25
Describe the transformation.
y = - sqrt(x + 2.2) + 4.6
Reflection on the x-axis, 2.2 to the left and 4.6 units up.
What is the first step to solve this equation?
sqrt(x - 1) - 3 = 1
Add 1 to both sides of the equation.
Find the mistake.
-3sqrtx = 24
sqrtx = 27
x = 729
First step would be to divide both sides by -3 and not add 3.
So,
sqrtx = -8
x = 64
sqrt(x - 2) - 6 = - 7
x = 3
Describe the transformation.
y = - sqrtx + 11
Reflection in the x-axis, 11 units up.
What is the first step to solve this equation?
- 4 + sqrtx = 12
Add 4 to both sides of the equation.
Find the mistake that the student made in solving the following problem.
sqrt(x - 3) + 15 = -15
sqrt(x - 3) = -30
x - 3 = - 900
x = -897
The student forgot that - 30 squared is positive 900.
So,
x - 3 = 900
x = 903
5sqrtx - 2 = 28
x = 36
Describe the transformation.
y = 2sqrtx - 9
Stretch by a factor of 2, 9 units down.
What is the first step to solve this equation?
-22 = 2sqrtx - 12
Add 12 to both sides of the equation.
Find the mistake.
44 = -9sqrtx+4
40 = -9sqrtx
49 = sqrtx
2401 = x
Student added 9 to both sides instead of dividing both sides by -9.
-10sqrt(x+7)+3=-7
x = - 6
Describe the transformation.
y = -3sqrt(x + 10) + 7
Reflection in the x-axis, stretch by a factor of 3, 10 units to the left and 7 units up.
What is the first step to solve this equation?
3 = - sqrt(2x) + 3
Find the mistake.
-3 + 4sqrtx = -15
4sqrtx = -12
sqrtx = -16
x = 256
After adding 3 to both sides, we need to divide by 4 on both sides.