Problem 16
In Exercises 1–26, solve and check each linear equation. 4(x + 9) = x
Problem 16
Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(6x + 1) = x - 1
Problem 16a
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = x + 2
Problem 17
Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7(x-4) = x + 2
Problem 17
Including a 10.5% hotel tax, your room in San Diego cost $216.58 per night. Find the nightly cost before the tax was added.
Problem 17
Find each product and write the result in standard form. (- 5 + i)(- 5 - i)
Problem 17
In Exercises 15–26, use graphs to find each set. (- 3, 0) ⋃ [- 1, 2]
Problem 18
Solve each equation in Exercises 15–34 by the square root property. 3x2 - 1 = 47
Problem 18
Including a 17.4% hotel tax, your room in Chicago cost $287.63 per night. Find the nightly cost before the tax was added.
Problem 19
Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 2(x-4)+3(x+5)=2x-2
Problem 19
Exercises 19–20 involve markup, the amount added to the dealer's cost of an item to arrive at the selling price of that item. The selling price of a refrigerator is $1198. If the markup is 25% of the dealer's cost, what is the dealer's cost of the refrigerator?
Problem 19
Solve each radical equation in Exercises 11–30. Check all proposed solutions.
Problem 19
Solve each equation in Exercises 15–34 by the square root property.
Problem 19
In Exercises 15–26, use graphs to find each set. (- ∞, 5) ∩ [1, 8)
Problem 19
Find each product and write the result in standard form. (2 + 3i)2
Problem 19a
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = -(1/2)x
Problem 20
In Exercises 9–20, find each product and write the result in standard form. (5 - 2i)2
Problem 20
Solve and check each linear equation. 2(x - 1) + 3 = x - 3(x + 1)
Problem 20a
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = - (1/2)x + 2
Problem 21
In Exercises 15–26, use graphs to find each set. (- ∞, 5) ⋃ [1, 8)
Problem 21
You invested $20,000 in two accounts paying 1.45% and 1.59% annual interest. If the total interest earned for the year was $307.50, how much was invested at each rate?
Problem 21
In Exercises 21–28, divide and express the result in standard form. 2/(3 - i)
Problem 21a
Solve each equation in Exercises 15–34 by the square root property. (x + 2)2 = 25
Problem 22
You invested $30,000 in two accounts paying 2.19% and 2.45% annual interest. If the total interest earned for the year was $705.88, how much was invested at each rate?
Problem 22
Solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 7x + 13 = 2(2x-5) + 3x + 23
Problem 22
In Exercises 1–26, solve and check each linear equation. 2 - (7x + 5) = 13 - 3x
Problem 22a
Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3
y = -2|x|
Problem 23
In Exercises 1–26, solve and check each linear equation. 16 = 3(x - 1) - (x - 7)
Problem 23
In Exercises 21–28, divide and express the result in standard form. 2i/(1 + i)
Problem 23
Solve each equation in Exercises 15–34 by the square root property.
Ch. 1 - Equations and Inequalities
