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.

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

Simplify  12xy25xz·15xz2y2.12𝑥𝑦25𝑥𝑧·15𝑥𝑧2𝑦2. Multiple choice question.A)36xzy236𝑥𝑧𝑦2 B)3xz23𝑥𝑧2 C)36xz36𝑥𝑧 D)3x2zy2

Which of the following statements is not true?AAAAAAABBBBB = A 7B 5b 6c 6 = (bc) 6x 5y 5z 5 = xyz 5xxxxxx = x 6

Let x, y, z be integers. Decide if each of the following statements is true orfalse. If the statement is true, then prove it. If the statement is false, then give a counterexample(a) If x(y − z) = 0, then y = z.

Answer true or false to each statement. Explain why each false statement is incorrect.a 2x and − 2x are like terms. b 15a and 15 a2 are like terms.c 8p and p_5 are like terms. d 5_8 def and 5fed are like terms.e 4ab and 6a2b are like terms.