2 + y_11 − 7_10 − z_8 g −m_5 − n_7 − 8p h 5x_8 − 9y + z_4 − 2_52 State whether each of these is an expression or an equation.a 2a + 3 b x − 6 = 1 c 7 = 5 + 5_6 hd x + y + z = 9 e 3a + b − 7 f k = 4m + 1_83 Answer true or false to each statement. For the statements that are false, provide a reason for your answer.a 2x + 1_3 = 4 is an expression.b 5 − 12a + b has 3 terms.c 7 − y is a term.d 5_7 is a term.e The coefficient of − d is 1.f The coefficient of b_12 is 12.g −5f_4 is an expression.h The coefficient of 2x_3 is 2_3.4 Write an expression for each statement.a 5 more than ab z divided by 3c 23 less than yd 50 times me The product of x and 2_5f Twice the value of pg Half of sh The sum of three-quarters of w and 55 Write an expression for each statement. Use x to represent the unknown number.a A number is multiplied by 7 and then 2 is added.b A number is divided by 3 and then 6 is subtracted.c 10 less than three-quarters of a numberd The sum of 13 and a third of a numbere 28 less than the product of 15 and a numberf 5 less than half of a number5A.15A.2OXFORD UNIVERSITY PRESSCHAPTER 5 ALGEBRA — 181UNDERSTANDING AND FLUENCYExercise 5A PronumeralsANSp5021–6, 7(b, c, f, h), 8–11, 13, 15 1, 3, 5, 6, 8, 11, 12, 14, 16, 17, 19 1, 3, 5, 8, 12, 16–201 For each of the following expressions:i list the terms in the expression
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2 + y_11 − 7_10 − z_8 g −m_5 − n_7 − 8p h 5x_8 − 9y + z_4 − 2_52 State whether each of these is an expression or an equation.a 2a + 3 b x − 6 = 1 c 7 = 5 + 5_6 hd x + y + z = 9 e 3a + b − 7 f k = 4m + 1_83 Answer true or false to each statement. For the statements that are false, provide a reason for your answer.a 2x + 1_3 = 4 is an expression.b 5 − 12a + b has 3 terms.c 7 − y is a term.d 5_7 is a term.e The coefficient of − d is 1.f The coefficient of b_12 is 12.g −5f_4 is an expression.h The coefficient of 2x_3 is 2_3.4 Write an expression for each statement.a 5 more than ab z divided by 3c 23 less than yd 50 times me The product of x and 2_5f Twice the value of pg Half of sh The sum of three-quarters of w and 55 Write an expression for each statement. Use x to represent the unknown number.a A number is multiplied by 7 and then 2 is added.b A number is divided by 3 and then 6 is subtracted.c 10 less than three-quarters of a numberd The sum of 13 and a third of a numbere 28 less than the product of 15 and a numberf 5 less than half of a number5A.15A.2OXFORD UNIVERSITY PRESSCHAPTER 5 ALGEBRA — 181UNDERSTANDING AND FLUENCYExercise 5A PronumeralsANSp5021–6, 7(b, c, f, h), 8–11, 13, 15 1, 3, 5, 6, 8, 11, 12, 14, 16, 17, 19 1, 3, 5, 8, 12, 16–201 For each of the following expressions:i list the terms in the expression
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Directions for questions 1 to 10: State whetherthe following statements are true or false.1. 5x + 10y − 15z = 5 (x + 2y − 3z)2. (x + 2) (x − 5) = x2 − 3x + 103. (a + 2b) 2 – (a – 2b)2 = 8ab4. 9.2 × 8.8 = 72.965. An equation which is true for all real values of itsvariables is called an identity.6. HCF of 12x2yz and 16xyz2 is 4xyz.7. xy z22 6 = xy−1z−38. (a2 – 1) ÷ (a – 1) = a + 19. If a + b = 6 and a2 – b2 = 24, then a – b = 4.10. The constant term in the product of (5x2 − 7x + 4)(7x − 8) is 12.
ii list any variables in the expressioniii identify the coefficient of each term that contains a variableiv list any constant terms.a 6a + b − 1 b 2xy − 3x c 11f − g + 15h − 10 d −9_4 pe 3_4 c + d + 1_3 f x_2 + y_11 − 7_10 − z_8 g −m_5 − n_7 − 8p h 5x_8 − 9y + z_4 − 2_52 State whether ea
Select all that apply) Which of the following are underdetermined systems?3a+b−6c=−102a+b−5c=−82x+y+3z=12x+6y+8z=36x+8y+18z=5p+q=1p+q+r=2p−q+r=1p−r=36a+8b+7c+3d=73a+5b+4c+d=8x−y=2x+y=42x+y=8Submit
1. (x+2) (x2-4x+3)__ 2. (x-1) ( x2-8x+7)__ 3. (x-3y) ( x2-5xy+6y2)__ 4. (x+8) (x-1)_ 5. (2m+3n) (4m-5n)__ 6. (a+6) (a-5)_ 7. (x+4) (x-2)__ 8. (3a+7b) (5a-4b) 9. (5m2-6m+10) – (-m2+7m+8)__ 10. (2x2+4x+9) - ( x2-5x-6) 11. 6a + 12 / 3 12. 4x2-8x+12x3 / 4x
a) b) none of thesec) d)25a −2 4b2(a + b)2a −2 b2(a − b)23. (5-p)(5-p) is of the forma) b) none of thesec) d)(a + b)2(a − b)(a + b) (a − b)24. is of the forma) none of these b)c) d)(3x + 5y)(3x + 5y)3x −2 5y2(3x − 5y)2(3x + 5y)25. is of the forma) b)c) d) none of these(a − 5)(2a − 9)(x + a)(x + b) (a + b)(a − b)(a + b)26. is of the forma) none of these b)c) d)(4 − a)(4 − b )(a − b)2(a + b)2(x + a)(x + b)7. is of the forma) b)c) d)8a +3 64b3(a + b)3a +3 b3a −3 b3(a − b)38. can be calculated easily usinga) b)c) d) none of these2253(a + b)2(a + b)3a +3 b39. is the expansion ofa) b)c) none of these d)(a + 2ab + b2 2)(a + b)2(a + b)3(a − b)210. is the expansion ofa) b)c) d)(a − b) +3 3ab (a − b)(a + b3 3) (a − b)3(a − b3 3) (a + b)311. (x - y ) × (x + y ) = ______a) 2x + 2y b) 2xc) x + y d) x - y2 2 2 22 2 44 4 4 412. (p - q ) =a) p +2p q +q b) p -2p q +qc) p -2p q +q2 2 24 2 2 4 2 2 2 24 2 2 413. (5x+y)(-5x+y)a) 25x + 10xy + y b) -y - 25xc) 25x - y d) y - 25x2 2 2 22 2 2 214.a) b)c)(2x + 5) −2(2x − 5)240 + x 40 − x40x15. 105 95 =a) 9476 b) 9975c) 9875
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