Show:
Find Midpoint
Add and Subtract Radical Expressions
Multiply Radicals
Simplify Radical Expressions
Find Vertex
100

QR has endpoints at Q(6, 16) and R(10, 20). Find the midpoint M of QR.

Write the coordinates as decimals or integers.

M = (8, 18)

100


Add. Write your answer in simplest form.

5 square root + 10 square root

15 square root 2

100

Multiply. Assume c is greater than or equal to zero, and write your answer in simplest form.

square root 84c x square root 5

2 square root 105 x c

100

square root 75

5 square root 3

100

What is the vertex of the parabola y=2(x–8)2–3?

8, -3

200

A line segment has the endpoints R(–20, 4) and S(–7, 15). Find the coordinates of its midpoint M.

Write the coordinates as decimals or integers.

M = (-13.5, 9.5)

200


Add. Write your answer in simplest form.

-9 square root 3 + 7 square root 3

-2 square root 3

200

Multiply. Assume u is greater than or equal to zero, and write your answer in simplest form.

4 square root 5u[5] x square root 70

20u[2] x square root 14xu

200

square root 12

2 square root 3

200

What is the vertex of the parabola y=–1/2(x–7)[2]2–1?

(7, -1)
300

A line segment has the endpoints U(–2, 4) and V(0, 6). Find the coordinates of its midpoint M.

Write the coordinates as decimals or integers.

M = (-1, 5)

300


Subtract. Write your answer in simplest form.

-7 square root 2 - 8 square root 2

-15 square root 2

300

Multiply. Write your answer in simplest form.

square root 15 x square root 10

5 square root 6


300

square root 125

5 square root 5

300

What is the vertex of the parabola y=7x[2]+6?

(0, 6)

400

F(–2, –4) and G(0, –8) are the endpoints of a line segment. What is the midpoint M of that line segment?

Write the coordinates as decimals or integers.

M = (-1, -6)

400


Add. Write your answer in simplest form.

6 square root 5 + square root 5

7 square root 5

400

Simplify. Assume k is greater than or equal to zero, and write your answer in simplest form.

(square root 3k[5])[2]

3k[5]

400

square root 8

2 square root 2

400

What is the vertex of the parabola y=–8x[2]+1?

(0, 1)

500

A line segment has the endpoints S(9, 4) and T(7, 0). Find the coordinates of its midpoint M.

Write the coordinates as decimals or integers.

M = (8, 2)

500


Subtract. Write your answer in simplest form.

- square root 5 - 4 square root 5

-5 square root 5

500

Multiply. Assume w and x are greater than or equal to zero, and write your answer in simplest form.

square root 2wx x square root 28w[4]x[4]

2w[2]x[2] x square root 14xwxx

500

square root 27

3 square root 3

500

What is the vertex of the parabola y=–1/3x[2]–1?

(0, -1)