2.1.1 Squares

In order for faster speed in taking the test, squares up to 25 should definitely be memorized with memorization of squares up to 50 being highly recommended. In the event that memorization can’t be achieved, remember the tricks discussed in Section 1 of the book as well as the method of FOILing. The following table should aid in memorization:


$11^2 = 121$	$12^2 = 144$	$13^2 = 169$	$14^2 = 196$
$15^2 = 225$	$16^2 = 256$	$17^2 = 289$	$18^2 = 324$
$19^2 = 361$	$20^2 = 400$	$21^2 = 441$	$22^2 = 484$
$23^2 = 529$	$24^2 = 576$	$25^2 = 625$	$26^2 = 676$
$27^2 = 729$	$28^2 = 784$	$29^2 = 841$	$30^2 = 900$
$31^2 = 961$	$32^2 = 1024$	$33^2 = 1089$	$34^2 = 1156$
$35^2 = 1225$	$36^2 = 1296$	$37^2 = 1369$	$38^2 = 1444$
$39^2 = 1521$	$40^2 = 1600$	$41^2 = 1681$	$42^2 = 1764$
$43^2 = 1849$	$44^2 = 1936$	$45^2 = 2025$	$46^2 = 2116$
$47^2 = 2209$	$48^2 = 2304$	$49^2 = 2401$	$50^2 = 2500$

Avoid FOILing when possible so that you can work on having automatic responses on some of the questions.

Problem Set 2.1.1

28^2

3.2^2

29 \times 29

16 \times 16

31^2

\text{If } 2.2 \text{ cm} = 1 \text{ inch, then } 2.2 \text{ in equals how many cm?}

34 \times 34

17 \times 17

23 \times 23

18 \times 18

24\% \text{ of } 24

23^2

32^2

14 \times 14

21^2

24^2

31\% \text{ of } 31

27\% \text{ of } 27

34^2

26^2

17^2

33 \times 33

\text{Find } x < 0 \text{ when } x^2 = 729

\sqrt{1090} \times 31

\sqrt{291} \times 23

\sqrt{-196} \times \sqrt{-256}

\frac{3}{4} \text{ of } 24\% \text{ of } 1.8

\sqrt[4]{509} \times \sqrt{905}

\sqrt{327} \times \sqrt{397} \times \sqrt{487}

\sqrt[4]{144}

\sqrt{362} \times \sqrt{440}

\sqrt[4]{959} \times \sqrt{960}

\sqrt[4]{134}

\sqrt{451 \times 451}

\sqrt{574} \times \sqrt{577} \times \sqrt{580}

\sqrt[4]{174}

\sqrt{1025} \times \sqrt{63}

28 \times 56 \times 14 \div 42

\sqrt{1030} \times 2^5

\sqrt[4]{214}