Solve the absolute value equations. Write the solution using set notation. 106. |2x 1| + 2 = 3 107. |5x + 3| = 0 – 108. |2x + 5| + 7 = 3 Solve and graph the inequalities. Then write the solution using interval notation. 109. -15 < 20 110. 10 s 4 or -1 < 2s + 3 – ≥ 111. -16 < -4(9 x) 24 112. 1 -(4x + 1) 25 – ≤ ≥ ≥ For #113-117, factor the following expressions. 113.12y2 + 8y 114. 9x2 +12x 6 – 115. 6a4b 36a2b2 +12ab3 116. 20a2 -5ab + 8ac 2bc – – 117. 4p2 p2r q3r + 4q3 – – For #118-120, add/subtract as directed. 118. Subtract (3n4 2n2 6) from (2n2 -3n +1) – – 119. Add: 5x3 + 2x2 1 and 3 7x + x2 4 x3 – – – 120. (4x3 3x2) + (x2 + 2x -10) (x3 - 15) – – For #121-126, multiply: 121. (x + y) (4x 7y) 122. (t 10) (t + 10) – – 123. (x 2y2) (4 + 4x x3) 124. (2n 5)2 – – – 125. (4p + 7q) 2 126. (x 12y) (x 4y) – – For #127-130, divide: 127. 128. (x2 + x -12) ÷ (x + 4) 129. 130. 131. Given and find. f(x) g(x), a2 3a 28 and a + 4 f(x) = g(x) = – – 132. Given: = - 2x + 4 Find the following: g(x) g(-3) g(a) g(a +4) 133. State the domain and range of the following relation. {(4, -1), (1, -1), (0, 0), (4, 2)}
Solve the absolute value equations. Write the solution using set notation. 106. |2x – 1| + 2 = 3 107. |5x + 3| = 0 108. |2x + 5| + 7 = 3 Solve and graph the inequalities. Then write the solution using interval notation. 109. -15 < 20 110. 10 – s ≥ 4 or -1 < 2s + 3 111. -16 < -4(9 – x) ≤ 24 112. 1 ≥ -(4x + 1) ≥ 25 For #113-117, factor the following expressions. 113.12y2 + 8y 114. 9x2 +12x – 6 115. 6a4b – 36a2b2 +12ab3 116. 20a2 -5ab + 8ac – 2bc 117. 4p2 – p2r – q3r + 4q3 For #118-120, add/subtract as directed. 118. Subtract (3n4 – 2n2 – 6) from (2n2 -3n +1) 119. Add: 5x3 + 2x2 – 1 and 3 – 7x + x2 – 4 x3 120. (4x3 – 3x2) + (x2 + 2x -10) – (x3 - 15) For #121-126, multiply: 121. (x + y) (4x – 7y) 122. (t – 10) (t + 10) 123. (x – 2y2) (4 + 4x – x3) 124. (2n – 5)2 125. (4p + 7q) 2 126. (x – 12y) (x – 4y) For #127-130, divide: 127. 128. (x2 + x -12) ÷ (x + 4) 129. 130. 131. Given f(x) and g(x), find. f(x) = a2 – 3a – 28 and g(x) = a + 4 132. Given: g(x) = - 2x + 4 Find the following: g(-3) g(a) g(a +4) 133. State the domain and range of the following relation. {(4, -1), (1, -1), (0, 0), (4, 2)}
Introductory-Algebra-Final-Midterm-Review.docx