MATH 1222 INTRODUCTION TO ALGEBRA
COMPREHENSIVE EXAMINATION TEST
2026 QUESTIONS AND SOLUTIONS
GRADED A+
◉ greater than.
Answer: x>4 or x<-1
◉ a^3 + b^3.
Answer: (a+b)(a^2 - ab + b^2)
◉ a^3 - b^3.
Answer: (a-b)(a^2 + ab + b^2)
◉ (√a + √b)(√a - √b).
Answer: a-b
◉ 7^(2/3) -> 3^√7^2.
Answer: top number = power
bottom number = root
, ◉ square sides.
Answer: not terms
◉ b=.
Answer: y intercept
◉ y=0.
Answer: x intercept
◉ point-slope form.
Answer: m= (y2-y1)/(x2-x1)
◉ paralel lines.
Answer: same slope
◉ perpendicular lines.
Answer: opposite reciprocal slopes
◉ > or >= equations.
Answer: shade above the line
COMPREHENSIVE EXAMINATION TEST
2026 QUESTIONS AND SOLUTIONS
GRADED A+
◉ greater than.
Answer: x>4 or x<-1
◉ a^3 + b^3.
Answer: (a+b)(a^2 - ab + b^2)
◉ a^3 - b^3.
Answer: (a-b)(a^2 + ab + b^2)
◉ (√a + √b)(√a - √b).
Answer: a-b
◉ 7^(2/3) -> 3^√7^2.
Answer: top number = power
bottom number = root
, ◉ square sides.
Answer: not terms
◉ b=.
Answer: y intercept
◉ y=0.
Answer: x intercept
◉ point-slope form.
Answer: m= (y2-y1)/(x2-x1)
◉ paralel lines.
Answer: same slope
◉ perpendicular lines.
Answer: opposite reciprocal slopes
◉ > or >= equations.
Answer: shade above the line
