Honors Algebra Midterm Exam Review Sheets 2022 December PDF

Honors Algebra Midterm Exam Review Sheet #1 Name___________________________ ------------------------------------------------------------------------------------------------------------------------------- Solve each equation....

Honors Algebra Midterm Exam Review Sheet #1 Name___________________________ ------------------------------------------------------------------------------------------------------------------------------- Solve each equation. Statistics 1) 3 8a  4   4  8a  4  18) Find the mean, median, mode, and range: 1 2) 3   x  4   12 1,2,2,3,4,4,4,5,6,6,7 2 3) 14  x  24 4) 2 x  1  19 19) Find the mean, median, mode, and range: 5) 4c  3  c  4   1  8 12,10,15,12,10,17,12, 24 6) x  4  2 x 7) 12  3 y  24 8) x 2  4 x  4  0 9) 2 x 2  8 x  0 10) x 2  6 x  16 11) 15m 2  28  m 12) n3  4n 2  21n  0 1 5y 13) 3 y   6 2 14) 18m6  170m4  72m2 53 x  2 15) 2  2  128 3 x 16) 3  9 x 2 x1 17) x 3  125 x  2 25 Honors Algebra Midterm Exam Review Sheet #2 Name___________________________ ------------------------------------------------------------------------------------------------------------------------------- Simplify each expression. Do not use negative exponents in your final answers. 6 fde 9k 4 m5 n 7 x2 y3 z 7   0 1) 2) 3) t 0 4) 5x 2 y 4 5) 4d 2 ef 5 3k 3m 3x 4 z 4 6 x 3 y 24 mn 3   a b 2 3 2    xy  4 2 6) 7) a b 8) 9) 8x 3 4 9 x 2 y 2 m 2 n 2 Factor Completely. 10) 3 x 9  48 x 11) 32 x3  16 x 2  2 x 12) 5a 3  20ab 2 14) 3 x 7  75 x 15) 2 x 7  16 x 16) 6 x3  24 xy 2 17) 2 x 2  6 x  20 18) 3m 2  6m  3 19) 4 z 4  4 20) 3 x 3  81m3 21) 4k 2  80k  400 22) 25r  r 3  r 2 s  25s 23) 25 y 2  4 x2  12 x  9 24) 64x3  y 6 25) 18m6  170m 4  72m 2 26)  x  3  3  x  3  10 2 Simplify. 2b 20ab 2 3 x 10 yx 2 18a 3c 2 12a 2 c r4 p r3 3 p 27)  28)  29)  30)  2 5a 3 4b 2 y 3 3x 25b 2 5b 3 p 4 Honors Algebra Midterm Exam Review Sheet #3 Name___________________________ ------------------------------------------------------------------------------------------------------------------------------- Solve each of the following. 1) Find four consecutive odd integers whose sum is 56. 2) The sum of 3 consecutive integers is equal to 9 less than 4 times the least of the integers. Find the integers. 3) Michele’s weekly income increased from $480 to $508.80. Find the percent increase of her income. 4) Ellen started out traveling at 60 km/h. Two hours later, Lisa left from the same point traveling the same road at 80 km/h. How many hours does it take Lisa to catch Ellen? 5) Two planes leave from cities 1925 miles apart at the same time and fly toward each other. One travels at 225mph and the other at 325mph. How long will it take for the two planes to meet? 1 6) 33 is 37 % of what number? 2 Honors Algebra Midterm Exam Review Sheet #4 Name___________________________ ------------------------------------------------------------------------------------------------------------------------------- Simplify each expression.   2)  x  2 y  3) 2  m  3n  4m  2n      2 1) x 2  3 y 4) 5 x 2  3x  7  6 x 2  2 x 3 Solve. Write your answers in interval notation. 5) 5  m  3  36  m 6) 4 x  3  15 7) 3x  1  4 8) 2 x  5  7 9) 3x  8  6 10) x  6  3 Let N   Natural , W  Whole , Z  Integers , Q  Rational , I  Irrational ,  1 1  R  Real , A  0,1, 2,3 , B  1, 0,1 , C  1,0,1,3 , D  2, 1,  , ,1, 2   2 2  Use universe U  3, 2, 1,0,1, 2,3 for any problem with a complement. 11) A B 12) A B 13) N W 14) N A 15) A B 16) A B 17) B C 18) Q I 19) N A 20) Z Q 21) B C 22) B C True or False 23) N  W 24) 5  Z 25) C  B 26) B  C 27) A  C 28) B  A 29) Z  I 30) B  C 31) A  A 32)   W 33) B  C 34) C  B 35) Is set B closed under: Addition? Subtraction? Multiplication? Division? 36) Is set D closed under division? 37) Is set Z closed under: Addition? Multiplication? 38) Is set I closed under: Addition? Subtraction? Division? 39) Is set N closed under: Addition? Subtraction Honors Algebra Review Sheet #5 Name__________________________ ----------------------------------------------------------------------------------------------------------------------------------------- Name the property demonstrated. 1) 8 1  8 2)  x  y  5  5  x  y  3) 5 x  5 y  5  x  y  4) a  bc    ab  c 1 5) 7 1 6) 8  0  8 7) 8 1  8 8) 3  3  0 9)  x  y   z  x   y  z  7 Simplify. Make sure to follow the order of operations. 10) 6   4  3 11) 6  4  7  3 12) 32  6 13) 20  3  2  4    2 2 1 2  14) 2 2 3 15) Simplify 6  2  4  p  3  8 p  then evaluate if p  0.35. 1 1    3 2 16)  5  17) 52 18) 4  52 19)  4  5  20)   5  2 2 2 Simplify. Write each answer in scientific notation. 8  107  6 10 8 10  12 13  21) 6 10 13  7 10  8 22) 32 1014 23) 2 1015 Write the solution set to each of the combined inequalities in interval notation. 24) x  3 and x  7 25) x  3 or x  7 26) x  5 and x  2 27) x  5 or x  2 28) x  2 or x  4 29) x  3 and x  1 30) x  3 or x  1 Honors Algebra Review Sheet #6 Name__________________________ ----------------------------------------------------------------------------------------------------------------------------------------- Add or Subtract. Make sure your answer is in Scientific Notation.  1) 7.6 10 22   5.2 10 21  2) 3.67 10 13    52 10  15 Factor the following. 3) x  9 x  20 4) x  10 x  24 5) x  10 x  24 2 4 2 2 6) x  67 xy  130 y 7) x  8 x  48 8) a b  38ab  39 2 2 10 5 2 2 9) x  23x  24 10) 3 x  10 x  7 11) 24 x  25 x  1 2 2 2 12) 18x  5xy  7 y 13) 36 x 2  5 x  24 14) 48 x 6  71x3  15 2 2 15) x 2  6 x  9 16) 36m 2  12m  1 17) 25x16  60 x8 y3  36 y 6 18) x 2  49 19) 9 x 2  25 y 2 20) 36 x 4  49 y 6 21) 16 x 2  25 Factor by grouping. 22) xz  yz  7 x  7 y 23) m3  m 2 n  4m  4n 24) x 2  14 x  49  36 z 2 25) 25a 2  4b 2  12b  9