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### 24 Cards in this Set

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 Write the equation for "The sum of a number x and 7 is 25" x+7=25 In a class of 31 students there are five more boys than girls. How many boys are there? number of girls = n number of boys = n + 5 total students: n + n + 5 = 31 2n + 5 = 31 2n = 26 n = 13 -(-4) + 7 11 |-5| + 13 18 What property is illustrated by (a + b) + c = a + (b + c) Associative What property is illustrated by If x = 4 and y = 4 then x = y Transitive property of equality What property is illustrated by a + (-a) = 0 Property of opposites What property is illustrated by a + 0 = a Identity property of addition The distributive property states that a(b + c) = ab + ac Write the equation then simplify Five times the sum of a and b decreased by three times b 5(a + b) - 3b 5a + 5b - 3b 5a + 2b simplify -3(2x - 1) + 5(3 - 4x) -6 x + 3 + 15 - 20x -26x + 18 Write the equiation: The sum of three consecutive integers is 18. Solve. x + (x + 1) + (x + 2) = 18 3x + 3 = 18 3x = 15 x = 5 a / b can be re-written as a * 1/b Simplify (18a - 36b)(1/18) 18a/18 - 36b/18 a - 2b If a = -3, b = 7, c = -4 evaluate 2b(a - c)/(a + 2) 2(7)(-3 - (-4))/(-3 + 2) 14(1)/-1 -14 Simplify 4(x + 7) + 5(x - 2) - 9x 4x + 28 + 5x - 10 - 9x 0x + 18 18 Solve (1/6)x = 11 x = 66 Solve 5(4 + 3x) = 10x 20 + 15x = 10x 5x = -20 x = -4 4 + |x| = 6 2 or -2 4 + |x| = 2 No solution. |x| cannot be negative Solve: the perimeter of a rectangle is 42 and its length is one more than its width. 2x + 2(x + 1) = 42 2x + 2x + 2 = 42 4x = 40 x = 10 Solve: The area of a rectangle is 42 and its length is one more than its width. x * y = 42 y = x + 1 x(x+1) = 42 x^2 + x = 42 x^2 + x - 42 = 0 (Do you know the Quadratic Formula?) Fred bought 14 stamps worth \$1.20. Some stamps were 5 cents, some were 10. How many of each type? 5x + 10y = 120 x + y = 14 y = 14 - x 5x + 10(14 - x) = 120 5x + 140 - 10x = 120 -5x = -20 x = 4 y = 10 Chocolates cost \$1 and peppermints \$1.50. Amelia bought 10 more chocolates than peppermints and spent \$13. How many chocolates did she buy? 1.50p + 1c = 15 p + 10 = c 1.50p + (p + 10) = 15 1.50p + p + 10 = 15 2.50p = 5 p = 2 c = 12