The perimeter of a triangle is 28 ft. The medium side is 4 ft longer than the shortest side, while the longest side is twice as long as the shortest side. What are the lengths of the three sides?

MATH 115N-01 – College Algebra

Find the value of each exponential expressions
(1)53
(2)(3/4)3
(3)Let set A={–5.3, –5, –1, –1/9,– √𝟑, 0, 0.𝟏̅ , 1.2, 3}. List all the elements of A that belongs to each set.

• Natural numbers :
  
• Whole numbers:
  
• Integers:
  
• Rational numbers:
  
• Irrational numbers:
  
• Real numbers
  

Use real numbers’ properties to complete each statement
(4)–5(2x–5y+6z) = ________________
(5)6+(–1) = _____________________
(6)2×(79×5) = __________________

Solve each equation.
(7) 6x – 4(x+1) = 2x + 4
(8) T = 2π√𝐿/𝑔, for g

Solve each problem
(9) The perimeter of a triangle is 28 ft. The medium side is 4 ft longer than the shortest side, while the longest side is twice as long as the shortest side. What are the lengths of the three sides?

Solve each inequality
(10) 2(x–5)+3x < 4(x–6)+1
(11) –7 < 3x –4 < 8

Find the slope of the line
(12) Through (–3,4) and (2, –8)
(13) y – 2x +4 = 0

Write an equation for the line and give answers in slope–intercept form
(14) through (2,4), m=–1
(15) through (2,3) and (–1,2)
(16) through (3,–2), parallel to 2x–y=5
(17) through (3,–2), perpendicular to 2x–y=5