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Name: Class: Date: Unit 1: Linear Expressions, Equations and Inequalities (one-variable) TEKS: A.5A Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides. A.5B Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides. A.10A Add and subtract polynomials of degree one and degree two. A.10C Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend. A.10D Rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property. A.12E Solve mathematic and scientific formulas, and other literal equations, for a specified variable. Sample Questions 1. Solve 6(x – 7) = 10(x + 4) for x. Record your answer and fill in the bubbles on your answer document. 2. Solve –6(x + 4) 18. 3. Solve 6y + 10 11y + 7. a. x –7 b. x –7 a. y 1 b. y 1 c. d. c. d. x – x – y y 4. The dimensions of a rectangle are five less than two times a number and three more than three times a number. What is the perimeter of the rectangle in its simplest form? Powered by Cognero Page 1 Name: Class: Date: Unit 1: Linear Expressions, Equations and Inequalities (one-variable) 5. –2df + 3h = 8g for f a. f= b. f = –2d(8g + 3h) c. d. 6. –10(4z + 4) < –8(5z – 2) a. z < 56 b. (all real numbers) c. z > –13 d. (the empty set) f= f= 7. 8. Solve the equation for n. a. 15 – 4(2 – 3n) = 6n – 5 Record your answer and fill in the bubbles. b. c. d. Powered by Cognero Page 2 Name: Class: Date: Unit 1: Linear Expressions, Equations and Inequalities (one-variable) Answer Key 1. –10.25 2. a 3. c 4. a 5. c 6. b 7. a 8. –2 Powered by Cognero Page 3