Problem 23
Solve each equation in Exercises 15–34 by the square root property.
Problem 23
In Exercises 15–26, use graphs to find each set. [3, ∞) ∩ (6, ∞)
Problem 23a
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = |x| + 1
Problem 24
In Exercises 21–28, divide and express the result in standard form. 5i/(2 - i)
Problem 25
A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards, what are its dimensions?
Problem 25
Solve each equation in Exercises 15–34 by the square root property.
Problem 25
In Exercises 15–26, use graphs to find each set. [3, ∞) ⋃ (6, ∞)
Problem 25
Divide and express the result in standard form. 8i/(4 - 3i)
Problem 25
Solve and check each linear equation. 25 - [2 + 5y - 3(y + 2)] = - 3(2y - 5) - [5(y - 1) - 3y + 3]
Problem 25
Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x/3 = 6 - x/4
Problem 25a
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = 9 - x2
Problem 26
A rectangular swimming pool is three times as long as it is wide. If the perimeter of the pool is 320 feet, what are its dimensions?
Problem 26
Divide and express the result in standard form. - 6i/(3 + 2i)
Problem 27
In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 5x + 11 < 26
Problem 27
Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. x/3 = x/2 - 2
Problem 27
Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. (3x+1)/3 - 13/2 = (1-x)/4
Problem 27
In Exercises 21–28, divide and express the result in standard form. (2 + 3i)/(2 + i)
Problem 27
Solve each equation in Exercises 15–34 by the square root property.
Problem 27
Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(2x + 3) + √(x - 2) = 2
Problem 27
The length of the rectangular tennis court at Wimbledon is 6 feet longer than twice the width. If the court's perimeter is 228 feet, what are the court's dimensions?
Problem 27a
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = x3
Problem 28
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = x3 - 1
Problem 28
The length of a rectangular pool is 6 meters less than twice the width. If the pool's perimeter is 126 meters, what are its dimensions?
Problem 29
In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 3x - 7 ≥ 13
Problem 29
Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. 20 - x/3 = x/2
Problem 29
Solve each equation in Exercises 15–34 by the square root property.
Problem 29a
Simplify and write the result in standard form. √-49
Problem 30
Solve each equation in Exercises 15–34 by the square root property. (4x - 1)2 = 16
Problem 30
Solve each radical equation in Exercises 11–30. Check all proposed solutions.
Problem 30a
Exercises 27–40 contain linear equations with constants in denominators. Solve each equation. x/5 - 1/2 = x/6
Ch. 1 - Equations and Inequalities
