## 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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