A 10 foot ladder leans against a wall with its foot braced 3 feet from walls

# A 10 foot ladder leans against a wall with its foot

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3. A 10-foot ladder leans against a wall with its foot braced 3 feet from wall’sbase. How far up the wall does the ladder reach? 4. A square picture frame occupies an area of 112 f 2 . What is the length of each side of the picture in simplified radical form ? Show your work . 1
Algebra I Quarter 4 Exam A = a^2 112 = a^2 sqrt 112 = a sqrt 16 * sqrt 7 = a 4 sqrt 7 = a  =4 sqrt7 Simplify each radical expression. Leave in radical form. Show your work . (because of the spacing it was hard to put the work directly under the problem) 5. 5 45 n 6. 75 + 3 7. 7( 14 3) =3n^2sqrt5n = sqrt(3 * 5^2) + sqrt(3) Sqrt(7)*(sqrt(14)sqrt(3) Sqrt(7)(sqrt (7) sqrt(2)+sqrt(3) =7sqrt2+sqrt21 = sqrt(3) * sqrt(5^2) + sqrt(3) = sqrt(3) * 5 + sqrt(3) = 5 * sqrt(3) + sqrt(3) = (5 + 1) * sqrt(3) =6sqrt3 sqrt 45n^5 = sqrt 5*9n^4n = 3n^2 sqrt 5n 2
Algebra I Quarter 4 Exam S implify the rational expressions. State any excluded values. Show your work . 8. Factor 3 out of 3x-6 =3 9 . factor the denominator, cancel out common factors =1/x+5 Multiply or divide. Show your work .

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