 # 11 Algebra Questions

## Question

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## Transcribed Text

(1) Arrange the fractions from smallest to largest: 𝟑𝟑 𝟏𝟏𝟏𝟏 , 𝟓𝟓 𝟏𝟏𝟏𝟏 , 𝟒𝟒 𝟏𝟏𝟏𝟏 . (2) Translate from English to an algebraic equation. Let the variable x represent the number. One fourth of a number, decreased by 5, is 32. (Do not solve.) (3) Translate from English to an algebraic expression. Let the variable x represent the number. Seven subtracted from the product of 5 and the sum of 4 and a number. (Do not solve.) Solve the following for the given variable: (4) 12a + 4 = 7a ― 21 (5) 𝟑𝟑 𝟓𝟓 x + 2 = 10 (6) 5t ― 3 = t + 5 (7) 3(x+4) = 5x ― 11 (8) Six times a number, decreased by 20 results in four times that same number. Find the number. (9) In a triangle, the largest angle is three times the smallest angle, and the other angle is 15° more than the smallest angle. Find the degree measure of the three angles. (10) Six times a number, decreased by 20 results in 70. Write an algebraic equation showing this, then solve the equation to find the number. Solve the following for the given variable: (11) 4x + 3(2x―7) = 2(x ― 3) + 1 (12) 𝟏𝟏 𝟐𝟐 𝐫𝐫 − 𝟑𝟑(𝐫𝐫 + 𝟐𝟐) − 𝟕𝟕 = 𝟏𝟏𝟏𝟏 − 𝐫𝐫 Extra Credit: [A] The sum of three consecutive even integers is -72. Find the largest of the three numbers. [B] Twice the difference of some number and 7, increased by 10, results in triple that same number. Find the number

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