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Powerpoint Questions: Chapter 1 and 2 REVIEW 1) Simplify: 5y – (2y – 8) 2) Is 4 a solution of 6d – 7 > 17? Explain your answer using 2 complete sentences! 3) Evaluate the expression: Answers ANSWERS 1) 3y + 8 2) No, 4 is not a solution. When I substituted 4 in for d, the expression simplified into 17 > 17, which is not true. 17 is equal to 17, not greater than. 3) 34 19 – 4x + x3 when x = 3. 4) Write a variable expression for 6 times the sum of k and 3. 4) 6(k + 3) 5) Name all the number sets to which the numbers belong. (whole number, an integer, or a rational number.) 5) 8 1/6 0 -99 8 1/6 Rational 0 Rational, Integer, Whole # -99 Rational, Integer 7.28475… Irrational 7.28475 6) Write a variable expression for “16 less than a number, m, cubed. 6) m3 - 16 7) Simplify: 7) 10r + 10 7(r + 1) + 3(r + 1) 8) Find the Product: 8) 54 (9)(-2)(3)(-1) 9) What is the multiplicative inverse of -19? 9) -1/19 10)Simplify the expression: 20h – 4 4 10) 5h – 1 11)Find the quotient: 11) -20 8 ÷ (- 2/5) 12)Find the quotient: 12) First, change - 4 2/7 to an improper fraction: - 30 / 7 8 ÷ (- 4 2/7) Then: keep. Change. Flip. (Multiply by the reciprocal) Answer: -28/15 13)Tell whether the number is rational or irrational. Give a reason for your answer. √7 √25 13) √7 Irrational. 7 is not a perfect square so the decimal will continue forever. √25 5. Rational. 25 is a perfect square. 14) Identify the terms, like terms, coefficients, and constant terms. THEN, simplify the expression. 8c – 8 + 5 – 9c + 2c2 14) Terms: 8c, -8, 5, -9c, 2c2 Like terms: 8c, -9c AND -8, 5 Coefficients: 8, 2 and -9 Constant terms: -8 and 5 Simplified Answer: 2c2 -1c – 3 15) Simplify: 15) - 5/4 - 3/8 ÷ 3/10 16)Simplify: 16) -50 (5)(-5)(2) 17)Estimate 18)Simplify: 29 17) The √29 is between √25 and √36 Since 25 is closer to 29, The √29 is ≈ 5. 18) -8p + 24 -8(p – 3) 19)Simplify: 5x7 + 14x7 19) 19x7