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the expression.  \n\n| EXPRESSION | IS EQUIVALENT TO |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | A | B | C | D |\n| Example: 2(x + 5) | 2x + 5 | \u003Cbr>2x + 10 | 10x | 2x + 7 |\n| 1) 3(a + 1) | 3a + 3 | 6a | 3a + 1 | 3a + 6 |\n| 2) 2(b – 4) | 2b – 4 | 8 – 2b | 2b – 8 | 2b – 6 |\n| 3) 5(c + 3c) | 5c + 8 | 5c + 15 | 9c | 20c |\n| 4) 2(2d – 1) | 4d – 2 | 2d – 2 | 2d | 2d – 4 |\n| 5) 3(e + 20) | 3e + 23 | 60e | e + 60 | 3e + 60 |\n| 6) 4(2f – 3) | 4f – 12 | 8f – 12 | 8f – 7 | 2f – 7 |\n| 7) 2(3g + 12) | 6g + 24 | 5g + 14 | 6g + 12 | 5g + 24 |\n| 8) 3(7 + h) | 3h + 21 | 21h + 3 | 10 + 3h | 21 + h |\n| 9) 7(5 – i) | 7i – 35 | 12 – 7i | 7i – 12 | 35 – 7i |\n| 10) 6(10 – j) | 6j – 60 | 16 – 6j | 60 – 6j | 54j |\n| 11) 4(2k + 7) | 6k + 11 | 8k + 28 | 6k + 28 | 8k + 11 |\n| 12) 2(l + m) | 2l + m | l + 2m | 2lm | 2l + 2m |\n| 13) 3(n – p) | 3n – 3p | 3n – p | 3n/p | n – 3p |\n| 14) ½ (q – 6) | ½ q – 6 | 1 ½ q | ½ q – 3 | q – 3 |\n| 15) ½ (2r + 4r) | r + 4 | ½ r + 2 | r + 2 | 3r |\n| 16) 2(2s + t) | 2s + 2t | 4s + 4t | 4s + 2t | 2s + 4t |\n| 17) 6(3 – 2u) | 12u – 18 | 18 – 12u | 9 – 8u | 18 – 6u |\n| 18) 4(v + 2w) | 4v + 4w | 8v + 8w | 12vw | 4v + 8w |\n| 19) 3(2x – y) | 6x + 3y | 6x – 3y | 3y – 6x | 6xy |\n| 20) ½ (10 – z) | 5 – ½ z | 5 – z | 10 – ½ z | ½ z-5 |\n\nName Date  \nEXPAND THE EXPRESSION 6:1 ANSWERS  \nUse the distributive property to work out which of the 4 options is equivalent to the expression.  \n\n| EXPRESSION | IS EQUIVALENT TO |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | A | B | C | D |\n| Example: 2(x + 5) | 2x + 5 | \u003Cbr>2x + 10 | 10x | 2x + 7 |\n| 1) 3(a + 1) | 3a + 3 | 6a | 3a + 1 | 3a + 6 |\n| 2) 2(b – 4) | 2b – 4 | 8 – 2b | 2b – 8 | 2b – 6 |\n| 3) 5(c + 3c) | 5c + 8 | 5c + 15 | 9c | 20c |\n| 4) 2(2d – 1) | 4d – 2 | 2d – 2 | 2d | 2d – 4 |\n| 5) 3(e + 20) | 3e + 23 | 60e | e + 60 | \u003Cbr>3e + 60 |\n| 6) 4(2f – 3) | 4f – 12 | \u003Cbr>8f – 12 | 8f – 7 | 2f – 7 |\n| 7) 2(3g + 12) | 6g + 24 | 5g + 14 | 6g + 12 | 5g + 24 |\n| 8) 3(7 + h) | 3h + 21 | 21h + 3 | 10 + 3h | 21 + h |\n| 9) 7(5 – i) | 7i – 35 | 12 – 7i | 7i – 12 | \u003Cbr>35 – 7i |\n| 10) 6(10 – j) | 6j – 60 | 16 – 6j | \u003Cbr>60 – 6j | 54j |\n| 11) 4(2k + 7) | 6k + 11 | 8k + 28 | 6k + 28 | 8k + 11 |\n| 12) 2(l + m) | 2l + m | l + 2m | 2lm | 2l + 2m |\n| 13) 3(n – p) | \u003Cbr>3n – 3p | 3n – p | 3n/p | n – 3p |\n| 14) ½ (q – 6) | ½ q – 6 | 1 ½ q | ½ q – 3 | q – 3 |\n| 15) ½ (2r + 4r) | r + 4 | ½ r + 2 | r + 2 | 3r |\n| 16) 2(2s + t) | 2s + 2t | 4s + 4t | 4s + 2t | 2s + 4t |\n| 17) 6(3 – 2u) | 12u – 18 | \u003Cbr>18 – 12u | 9 – 8u | 18 – 6u |\n| 18) 4(v + 2w) | 4v + 4w | 8v + 8w | 12vw | \u003Cbr>4v + 8w |\n| 19) 3(2x – y) | 6x + 3y | 6x – 3y | 3y – 6x | 6xy |\n| 20) ½ (10 – z) | 5 – ½ z | 5 – z | 10 – ½ z | ½ z-5 |","cbCaipDYKwWwWBqP","https://ap.wps.com/l/cbCaipDYKwWwWBqP","pdf",372647,"English","# Use the distributive property\n## Choose the equivalent option (A-D)","[{\"question\":\"What kinds of expressions are included?\",\"answer\":\"The worksheet includes expressions with parentheses and fractions, such as 2(x + 5), 3(a + 1), and 1/2(q - 6), involving variables and constants.\"}]","EXPAND THE EXPRESSION 6:1 - Use the distributive property - 6th Grade equivalent options | PDF",1792672955]