Simplifying Radicals
Simplify the square root of 32
4 Root 2
Solve the following quadratic equation by using square roots: x2 = 4
x = 2 x = -2
Solve the following quadratic equation by completing the square: x2 + 6x = -8
x = -2 x = -4
What is the quadratic formula?
x = -b +- sqrt(b^2 - 4ac)/2a
If the dimensions of a rectangle are w=x and l=x-5 and the area is 36cm, what is w and l?
The width of the rectangle is 9cm and the length is 4cm
Simplify the square root of 120
2 Root 30
Solve the following quadratic equation by using square roots: x2 = 121
+11 or -11
Solve the following quadratic equation by completing the square: x2 - 6x = -5
x = 1 x = 5
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1 x = -5
The length of a rectangular pool is 5m longer than its width. The area of the pool is 50m2. What are the dimensions of the pool?
The width of the pool is 5m and the length of the pool is 10m
Simplify the square root of a2b5
ab2 root b
Solve the following quadratic equation by using square roots: 4x2 = 400
x = 10 x = -10
Solve the following quadratic equation by completing the square: x2 - 2x - 24 = 0
x = -4 x = 6
Solve the following quadratic equation by using the quadratic formula: x2 - 9x + 20 = 0
x = 5 x = 4
The area of the front cover of a daily journal is 273 cm2 and the length is 8 cm greater than the width. What are the dimensions of the cover?
The width of the front cover of the journal is 13cm and the length of the front cover is 21cm
Simplify the square root of -9
3i
Solve the following quadratic equation by using square roots: x2 -9 = -8
1 or -1
Solve the following quadratic equation by completing the square: x2 + 10x +16 = 0
x = -2 x = -8
Solve the following quadratic equation by using the quadratic formula: 2x2 + 9x + 4 = 0
x = -1/2 x = -4
A rectangular lawn measuring 8m by 4m is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 165 m2. What is the width of the flower bed?
The width of the flower bed is 3.5m
Simplify: - sqrt -11
-i root 11
Solve the following quadratic equation by using square roots: 5x2 + 3 = 128
x = 5 x = -5
Solve the following quadratic equation by completing the square: 2x2 - 8x = 10
x = 5 x = -1
Solve the following quadratic equation by using the quadratic formula: 4x2 - 17x - 15 = 0
x = 5 x = -3/4
Adding 19 to the square of the number of provinces in South Africa gives the square of the number of provinces in Canada. How many provinces are there in South Africa?
There are 9 provinces in South Africa *there are 10 provinces in Canada