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EASY

100

What is the square root of 25?

5

200

Factor: y² - 9

(y-3)(y+3)

300

What is the cube root of 64? 

4

400

Factor: x² + 10x + 25

(x+5)²

500

What factoring method should be used first to factor

x² - 16 ?

Difference of Two Squares

MEDIUM

100

Factor: 9x² - 49

(3x - 7)(3x +7)

200

Factor: 8x³ - 27

(2x - 3)(4x² + 6x + 9)

300

Factor : 4x² - 20x + 25

(2x - 5)²

400

Factor: x² - 5x - 24

(x + 3)(x - 8)

500

Factor: 27x³ + 8

(3x + 2)(9x² - 6x + 4)

DIFFICULT

100

A learner factors x² - 25 as (x - 5)². Is the learner correct? If no, explain the error.

No, the correct answer is (x + 5)(x - 5)

200

The area of a rectangular garden is 2x² +7x + 3 square meters. If it's length is 2x + 1 meters, what is the width?

x + 3 meters

300

Factor : 2x² - x - 3

(2x - 3)(x + 1)

400

If the area of a rectangle is 3x² + 10x + 7, and one side measures (x + 1) . What is the other side

(3x + 7)

500

A rectangular playground has an area represented by 6x² + 11x + 3 square meters. Find the dimensions.

3x + 1 meter and 2x + 3 meter