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FC: ACT SCRAPBOOK

1: table of contents | page 1: table of contents page 2-3:using answers page 4-5: easy algebra page 6-7:algebraic manipulation

3: 3 sides of a triangle are consecutive integers, and the perimeter is 36 cm, what are the integers? A. 7 is not even B. 8+10+12 C. 10+12+14 D. 12+14+16 E. 14+16+18 you need 3 even numbers in a row that equal 36, 10+12+14=36 and they are consecutive numbers answer=C, 10+12+14=36 | skill 1 use the answers

4: skill 2 easy algebra | subtract 2x from both sides, add 5 to both sides, then divide both sides by 6 2x+3=8x-5 -2x -2x -2x 3=6x-5 +5 +5 8=6x 6 6 8/6=4/3=1.33=x

5: subtract 3x from both sides divide both sides by 4 3x+4y=12 -3 -3 4y=12-3 answer=y=3-3/4x | Skill 3 Algebraic manipulation

6: Skill 4 Mean | first, set up formula, average=sum # of items 42=40+37+44+42+x 5 multiply both sides by 5, add the numbers, and subtract the sum from the other side 210=163x 47=x grades of 40%, 37%, 44%, and 42% must get a 47% to get an average of 42% correct answer=H

7: skill 5 Angles | we have 3 known angles, b=100, an angle of 77, and an angle of 140, first you need to subtract 140 from 180 to find that the other missing angle is 40 degrees, then you need to subtract the known angles from 360 degrees, the remaining number is the missing angle. 180-140=40 360-100-40-77=143 correct answer=D

8: Skill 6 parallel lines | the congruent angle to ONM is XMN, XMN is the only angle that is close in size to ONM correct answer=K

9: Skill 7 Triangles | b=c because they are opposing angles therefore b doesn't =c cannot be true b is the correct answer

10: multiply 2x by everything in the second parenthesis, then multiply -5 into everything in the second parenthesis correct answer=H | Skill 8 FOIL

11: Skill 9 math vocab | prime number=number that is only divisible by 1 and itself list of prime numbers below 20: 2, 3, 5, 7, 11, 13, 17 answer=D

12: Skill 10 more math vocab | first, factor 120, 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 then find any prime numbers, 2, 3, 5 are the only prime numbers there are 3 prime factors answer=H

13: Skill 11 multiples vocab | you need to test each answer by dividing 30, 40, and 50 into them, 1200 works, but 600 is the lowest number that works and therefore is the answer answer=C

15: Skill 12 graphing vocab | first, you plot the numbers out on a piece of graph paper and then see where the line crosses the x-axis answer=H

17: plug the two points into the slope equation, 5-b = 5b =-1 -2-3 -5 answer=C b=0 | Skill 13 Slope

19: convert 3x-5y=-12 to y=mx+b then solve the equation for y 3x-5y=-12 -5y=-3x-12 y=3/5x+12/5 correct answer=H | Skill 14 Slope II

21: the number of slips that say wedding crashers needs to be divided by the number of total slips. this equals .129 which is about 13% correct answer=B | skill 15 using charts and graphs

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