Algebra 1 Name___________________________________ ID: 1 ©s e2m0E1l9h [KSuKtWaZ gSsoTf\tiwKaErJeG aL[LZC`.p U BAIlfld ArCiWgfhUttsW orOeEsleCrLvYexdz. Ticket in the door Unit 1A remediation Date________________ Period____ Choose from the following properties: Subtraction Property of Equality, Addition Property of Equality, Multiplication Property of Equality, Division Property of Equality, Distributive Property 1) What property best justifies the statement, " If x + 3 = 4, then x = 1"? 2) What property best justifies the statement, " If x - 3 = 4, then x = 7"? 3) What property best justifies the statement, " If 2x = 4, then x = 2"? 4) What property best justifies the statement, x " If = 4, then x =8"? 2 5) What property best justifies the statement, 3x 3x " If + 5 = 4, then = -1"? 2 2 6) What property best justifies the statement, 3x " If + 5 = 4, then 3x + 10 = 8"? 2 7) What property best justifies the statement, " If 2( x + 4) = -5, then 2x + 8 = -5"? 8) What property best justifies the statement, x+5 " If = 17, then x + 5 = 34"? 2 What property would you use in order to solve the following equation? 9) n = -7 3 10) -7 = n 7 11) v - 5 = -8 12) p + 12 = -6 13) -2x = 8 14) -136 = 8n 15) -1 = a + 2 16) -3k = 39 17) 40 less than the product of 2 and x. 40 less the product of 2 and x. 18) 40 more than the product of 2 and x. 40 more the product of 2 and x. a. What is the difference between the sentences? a. What is the difference between the sentences? b. Does that difference change how you write the expression? b. Does that difference change how you write the expression? Worksheet by Kuta Software LLC -1- ©T M2i0e1L9r jKRuetWac _SkoqfxtiwuajrIeH pLCLVC_.a w rAulrlv ^raiTgChYt`st krLeJsseQrFv`eNdH.r x dMAakdReA YwJiDtUhw \IAnsffienhiktOew uAglwgmeAbvrCaS U1h. Write each as an algebraic expression. 19) the quotient of n and 8 20) the quotient of 40 and k 21) the product of 9 and 10 22) the product of a and 5 23) 5 less than 18 24) 11 less than n Solve each equation. 25) x +5=0 2 27) x+4 =6 2 29) n - 3 = -4 8 26) -4 + m = -1 8 28) -4(n + 4) = 24 30) r-5 = -1 6 Solve the equation. 31) 3x =8 2 32) 3x +4=8 2 33) 3 x+4=8 2 34) 1 x - 4 = -8 2 Worksheet by Kuta Software LLC -2- ©k I2X0f1t9C NK\ultEas vSqoKfatpwXavrzeH KLqLyCX.E J dAtlxlq ur[iGgmhJtCsz YrAezsIe_rcvNeOdk.p I JMhaCdOeE rwwiJtNhK NInnifNiBnJictdeS rArlLgJeYblrqaZ C1V. Answers to Ticket in the door Unit 1A remediation (ID: 1) 1) Subtraction Property of Equality 2) Addition Property of Equality 3) Division Property of Equality 4) Multiplication Property of Equality 5) Subtraction Property of Equality 6) Multiplication Property of Equality 7) Distributive Property 8) Multiplication Property of Equality 9) Multiplication Property of Equality 10) Multiplication Property of Equality 11) Addition Property of Equality 12) Subtraction Property of Equality 13) Division Property of Equality 14) Division Property of Equality 15) Subtraction Property of Equality 16) Division Property of Equality 17) 18) n 40 19) 20) 8 k 21) 9 × 10 22) a × 5 23) 18 - 5 24) n - 11 25) {-10} 26) {-4} 27) {8} 28) {-10} 31) 32) 29) {-8} 30) {-1} 33) 34) Worksheet by Kuta Software LLC -3- ©l y2I0l1O9x FKDuutXaH hSVoKfTtkwEaJrueB [LpLeCN.b ] _A[l`lB vrdiPgEhrtXsK Lrae\sSevrpvOeddy.G ` yMdatdCem _wliEtnhY ZItnufriXndi\tmeh DAolHgdeybYrgaF Y1[.