1) Expand the following expression: 3(x + 7) a) 3x + 7 b) 3x + 21 c) x + 21 d) -3x + 21 2) Factor the following expression: 10x + 15y a) 10x + 15y b) 5(x + 2y) c) 5(2x + 3y) d) 10(x + 15y) 3) Factor the following expression: 30b + 60y a) 30(b + 2y) b) 15(2b + 4y) c) 3(10b + 20y) d) 5(6b + 12y) 4) Rewrite the expression by applying the distributive property: 6(4x - 3) - 9x a) 15x - 3 b) 24x - 18 - 9x c) 24x - 18 d) 15x - 18 5) Rewrite the expression by applying the distributive property: 2.5(3x + 8y) a) 7.5x + 20y b) 7.5x - 20y c) 7.5x + 8y d) 3x + 20y 6) Write the expanded form of the expression: y(0.75 + 4) a) 0.75y + 4y b) 4.75y c) 4y d) 0.75y 7) Factor the following expression: 6f + 4 a) 6(f + 1) b) 6f + 4 c) 2(3f + 2) d) (f + 4)3 8) Use the distributive property to expand 8(7x - 3y) - 5 a) 56x - 24y - 40 b) 80x - 40 c) 56x + 24y + 40 d) 56x - 24y - 5 9) Factor the algebraic expression: 40a + 25 a) 8(5a + 5) b) 2(20a + 13) c) 5(8a + 5) d) 40(a + 1) 10) Complete the factored form of the linear expression:  18x + 12y = ? ( ? + ?) a) 6(2x + 3y) b) 6(3x+ 2y) c) 6x(3 + 2y) d) 6y(3x + 2) 11) What is the first step in factoring the linear expression: 6x + 12 a) Distributing b) Finding the GCF c) Dividing by 3 12) Nalani says the expression 11-4x cannot be factored using the GCF. Is she correct? a) Nalani is incorrect because all expressions with two terms can be factored. b) Nalani is correct because the greatest common factor of 11 and -4x is 1 and factoring out 1 does not change the expression. c) Nalani is correct because 11 and -4x have no common factors. 13) Which of the following expressions is equivalent to 75 - 105x? a) 15(3 - 35x) b) 5(15 - 105x) c) 25(3 - 35x) d) 15(5-7x) 14) Simplify the following expression: 18x + 5 - 7 x - 9 a) 25x - 4 b) 25x + 14 c) 11x - 4 d) 11x + 14 15) Simplify the following expression: 5m - 17 - 5 + 2m a) 7m - 22 b) 7m - 12 c) 7m + 12 d) 3m - 22 16) Simplify the following expression: 20 - 10y - 7y + 9 a) 3y - 29 b) 3y + 11 c) 3y + 29 d) -17y + 11 e) -17y + 29 17) Simplify the following expression: -15k - 1 + 12 + 2k a) -17k + 13 b) 17k + 13 c) 17k +11 d) -13k + 11 18) Simplify the following expression: 10 - 7w - 13 - 7w + 15 a) 12 b) 18 c) -14w + 12 d) -14w + 18 e) -14w + 38 19) Simplify the following expression: -c + 5d + 7c - 11d + d - 3c a) 9c - 5d b) 5c + 17d c) 3c - 5d d) 3c + 17d 20) Simplify the following expression: 3x2 - x + 5 - 7x2 + 2x + 1 a) 10x2 + x + 6 b) 4x2 - 3x + 6 c) -4x2 + x + 6 d) -4x2 - x + 6 21) Which expression is equivalent to -5v + (-2) + 1 + (-2v)? a) -9v b) -7v - 1 c) -4v d) -7v + 3 22) Write the expanded form of the expression: y(0.5 + 8) a) 0.5y + 8y b) 8.5y c) 0.5y d) 8y 23) Write the expanded form of the expression: -2.5(-3 + 4n + 8) a) 7.5 - 10n - 20 b) -10n - 12.5 c) 10n + 7.5 d) -10n + 22.5 24) What is the greatest common factor of these two numbers? 9 and 27 a) 3 b) 27 c) 9 d) 1 25) What is the greatest common factor of these two numbers? 6 and 24 a) 6 b) 2 c) 3 d) 24 26) What expression has like terms in it? a) 4 - 3p b) 2y + 2x - 4 c) 14m + 3x + 2m d) 10p - 6 27) What is the greatest common factor of these two numbers? 30 and 40 a) 2 b) 5 c) 6 d) 10 28) What is the greatest common factor of these two numbers? 15 and 33 a) 15 b) 3 c) 1 d) 5 29) What is the expanded form of 2(x + 4)? a) 2x + 4 b) 2x + 8 c) x + 8 d) 2x + 2 30) Write the expanded form of the following expression: 4(x - 1) + 5(2x + 2) a) 4x - 4 + 10x + 10 b) 14x - 4 + 10 c) 14x + 6 d) x 31) Write the expanded form of the following expression: 2(3x - 3) - (6 - x) a) 6x - 6 - 6 + x b) 7x - 6 - 6 c) 6 d) 7x - 12 32) Factor the following expression: 81 + 9h a) 9(9 + h) b) 9(81 + h) c) 3(27 + 3h) d) h(81 + 9) 33) Factor the following expression: 16x - 24 a) 2(8x - 12) b) 4(4x - 6) c) 8(2x - 3) d) 1(16x - 24) 34) What is the perimeter of the rectangle? Simplify your answer. a) x + 5 + x + 5 + 7 + 7 b) 2x + 10 c) 2x + 24 d) 2x + 12 35) What is the perimeter of the square? Simplify your answer. a) 16x - 32 b) 16x + 32 c) 4x - 8 d) 8x - 16 36) What is the first step in completing this problem? 5(x - 3) + 2x a) Change Subtraction to Addition and Change the Sign of the Number Behind It b) Distribute the 5 c) Combine Like Terms 37) Are you able to combine like terms in this problem before distributing? 3(x + 7) - 4x a) Yes b) No 38) Are you able to combine like terms in this problem before distributing?  4(3x + 2x) - 9 a) Yes b) No 39) Expand the following expression: -2(x - 6) a) -2x + 12 b) 2x + 12 c) -2x - 12 d) -2x -6 40) Expand the following expression: 3(x + 7) - 9x a) 3x + 21 - 9x b) -6x + 7 c) 3x + 21 d) -6x + 21 41) Which solution is in simplest form? a) 2x + 9x - 4 b) 10x - 11x c) 11x + 10 - 3 d) 5x + 7 42) How can I rewrite this expression as a subtraction problem: 4x + (-12) a) 4x - (-12) b) 4x - 12 c) 4x + 12 d) 4x 43) How can I rewrite this expression as a subtraction problem: -9x + (-13) a) -9x - 13 b) 9x - (-13) c) -9x + 13 d) -9x + (-13) 44) What is the greatest common factor of these two numbers? 24 and 144 a) 12 b) 6 c) 24 d) 8 45) What is the greatest common factor of these two numbers? 56 and 60 a) 2 b) 3 c) 4 d) 5 46) Which expression has no like terms in it? a) 5x - 10 + 6p + 3m b) 6x - 4m + 2x + 6 c) 4x - 2 + 9 d) 3m - (4p) + 2m 47) Expand the following expression: - (4s - 10 + 3r) a) -4s + 10 - 3r b) -4s + 10 + 3r c) -4s + 10 - 12r d) -4s + 13r 48) What number is in front of the variable if you do not see one? a) 0 b) 2 c) 1 d) 3 49) Which expression has no like terms in it? a) -c + 9p - 7 + 3x - 4p b) 6w + (-9r) - 4s + 17 - 2w c) c + (-7) - 4w + 8n d) 54z + (-10) - 4 + 3f 50) What is a coefficient? a) A number by itself b) A number in front of the variable c) An operation d) A term separated by addition and subtraction

Expanding and Factoring Expressions

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