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Algebra Reminder 1

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Simplifying If terms have the same letters they are called LIKE terms. If they have different letters they are called UNLIKE terms. Order of letters does not matter LIKE terms can be added or subtracted. 3a + 5a = 8a 7bc – 4bc + 2bc = 5bc 3ab + 7ba = 10ab UNLIKE terms ______ be added or subtracted. 3a + 5b = 3a + 5b

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**If there are both LIKE and UNLIKE terms just add or subtract the like ones.**

3y + 5z + 11y = 3y + 11y + 5z = 14y +5z REMEMBER: The sign in front of each number belongs to that number (no sign means +). 10e + 5a – 5e - 20a + 2e = 10e – 5e + 2e + 5a - 20a = 7e - 15a

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**Questions 3a + 7a = 13b – 5b = 5c - 2c + 10c = 5d + d + 6d =**

9e – 4e + e = 12f + 5g = 19h - 3h + 7i = 12j + 3k – k = 100L – 17M + 3M = 7xz – 6yx + 3zx – 19yz + 12xy – zy =

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**Questions 3a + 7a = 13b – 5b = 5c - 2c + 10c = 5d + d + 6d =**

9e – 4e + e = 12f + 5g = 19h - 3h + 7i = 12j + 3k – k = 100L – 17M + 3M = 7xz – 6yx + 3zx – 19yz + 12xy – zy = 10a 8b 13c 12d 6e 12f + 5g 16h + 7i 12j + 2k 100L -14M 10xz + 6xy – 20z

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**Questions 18a 12b 202c 17d 6e 17.35F – 0.055G 19h – 3i 100j + 23k**

5a + 13a = 23b – 11b = 4c - 2c + 200c = 13d + 5d – d = 3e – 10e + e = 17.35F – 0.055G = 12h – 3i + 7h = 100j + 30k – 7k = 5L – 17M – 30L= 7Y – 5Z + 30Y – 11ZY + 12Z – Y + YZ = 18a 12b 202c 17d 6e 17.35F – 0.055G 19h – 3i 100j + 23k – 25L – 17M 36Y + 7Z – 10YZ

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Algebra Multiplying There are three steps to multiply things in algebra. Signs Numbers Letters

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Step 1 Decide if your answer is positive or negative. + times + Answer is _________. – times – Answer is _________. – times + Answer is _________. + times – Answer is _________. e.g. -3a x 5b answer is _________. positive positive negative negative negative

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Step 2 Multiply the numbers. Just multiply the numbers, ignore signs and letters. e.g. -3a x 5b number is _________. 8C x 10g number is _________. 15 80

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Step 3 Write all of the letters in the question next to the sign and number. REMEMBER: Powers are where there are lots of the same type of letter. t3 is ttt. e.g. -3a x 5b letters are _________. 8C x 10g letters are _________. 0.5f x 20t3 letters are _________. ab Cg ft3

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**Then you put it all together e. g**

Then you put it all together e.g. 5p x -3y sign = negative number = 15 letters = py Answer = -15py

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9c x 3b 12a x -3e 7c x 6c -5d x - 2y 5e x 20eb -2y x -7y2 -8tu x -4rt3 4d x -12d2r 19a x -2by2 -4de x -9ek = 27cb 5 x 7u -8 x -7y2 12e2y x -4 y x 12e 8d x d -100G x G2 0.4r x -10br 0.1G2 x 52GT 2d x 15r x -2t 4y x -0.1y2 x = 35u = -36ae = 56y = 42c2 = -48e2y = 10dy = 12ey = 100e2b = 8d2 = -100G3 = 14y3 = 32rt4u = -4br2 = -48rd3 = 5.2G3T = -38aby2 = -60drt = 36de2k = -0.8y3x2

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Algebra Dividing There are three steps to divide things in algebra. Signs Numbers Letters

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Step 1 Decide if your answer is positive or negative. + divided by + Answer is _________. – divided by – Answer is _________. – divided by + Answer is _________. + divided by – Answer is _________. e.g. -3a ÷ -5b answer is _________. positive positive negative negative positive

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Step 2 Simplify the numbers. Make the numbers into a fraction. Simplify the fraction if you can. e.g. 3a ÷ 5b fraction is ___. 9C ÷ 21g number is ___ = ___. 3 5 9 21 3 7

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Step 3 Write all of the letters. REMEMBER: Powers are where there are lots of the same type of letter. t3 is ttt. Cross out any letters that are on both the top and the bottom. e.g. -3ac x 5bc top letters are _________. bottom letters are _________. a ac b bc

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**Put your answer together as a fraction. If one of the numbers is a 1**

Put your answer together as a fraction. If one of the numbers is a 1. You don’t have to write it unless it is the only thing on top of the fraction.

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