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CC Math I Standards: Solving Equations Unit 3 NAME ____________________________ SOLVE EACH EQUATION ON A SEPARATE PIECE OF PAPER. Solutions to problems are provided at the end of each section to check correctness. SECTION ONE PROBLEMS 1) 3x + 5 – 4x= -8 6) 2(–x + 1) + 5x = –7 2) 2x + 3 – 9x = - 3x – 4x + 3 7) 5x + 9 – 8x = 12 – 3x 3) 2(x + 9) = 26 8) 6 – (x+ 4) = – 5 4) 8 + 4(x – 3) = 16 9) 11 - 5x + 4 = 0 5) 3x 7 1 5 10) – 2 (x + 1) + 3(2x – 5)= -9 11) -10x + 7 – 2x - 12 =1 Section I SOLUTIONS 1 2 A. x = 7 B. x E. All Numbers F. x = 4 G. x = 5 I. No Solution J. x = 2 K. x C. x = 13 D. x = 3 H. x = -3 2 3 SECTION TWO PROBLEMS 17) – 3(2x – 1) = 57 12) ½(x + 8) = -6 13) (7x + 4) – 1 = 11x + 7 + 3x 14) x2 2 3 18) 9 3x 7 6 19) 8x – 19 = 5x – 3 15) 2 – (x – 2) = –7 20) 2(5x +1) + 2x=11 16) 5x – 2(3x + 4)= – 2 21) 4(3x + 7) – 8 = 17x – 5(4 + x) Section II. SOLUTIONS A. No Solution B. x = 8 16 x E. 3 F. x = -6 I. x = -20 J. x = 11 C. x = - 11 D. x = -9 G. All Numbers 3 x H. 4 Solving Equations Matching ANSWER KEY PROBLEMS SOLUTIONS 1) 3x + 5 – 4x= -8 2) 2x + 3 – 9x = - 3x – 4x + 3 3) 2(x + 9) = 26 x = 13 All Numbers x=4 4) 8 + 4(x – 3) = 16 x=5 5) 3x 7 1 5 x 2 3 6) 2(–x + 1) + 5x = –7 x = -3 7) 5x + 9 – 8x = 12 – 3x No Solution 8) 6 – (x+ 4) = – 5 x=7 9) 11 - 5x + 4 = 0 X=3 10) – 2 (x + 1) + 3(2x – 5)= -9 11) -10x + 7 – 2x - 12 =1 12) ½(x + 8) = -6 13) 14) (7x + 4) – 1 = 11x + 7 + 3x x2 2 3 x=2 x 1 2 x = -20 All Numbers x=8 15) 2 – (x – 2) = –7 x = 11 16) 5x – 2(3x + 4)= – 2 x = -6 17) – 3(2x – 1) = 57 X = -9 18) 9 3x 7 6 x = - 11 19) 8x – 19 = 5x – 3 20) 2(5x +1) + 2x=11 21) 4(3x + 7) – 8 = 17x – 5(4 + x) 16 3 3 x 4 x No Solution