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Questions and Answers of
College Algebra
Find each sum or difference. Write answers in standard form.3√7 – (4√7 – i) – 4i + (–2√7 + 5i)
Solve each equation for xx-1/2a = 2x - a
Solve each equation or inequality.|3x - 7| + 1 < -2
Find each sum or difference. Write answers in standard form.–i √2 – 2 – (6 – 4i√2) – (5 – i√2)
Solve each equation for xx/a - 1 = ax + 3
Solve each equation or inequality.|12 - 6x| + 3 ≥ 9
Solve each equation for x4a - ax = 3b + bx
Find each sum or difference. Write answers in standard form.(–4 – i) – (2 + 3i) + (–4 + 5i)
Solve each equation or inequality.|10 - 4x| + 1 ≥ 5
Solve each equation for xax + b = 3(x - a)
Find each sum or difference. Write answers in standard form.(2 - 5i) - (3 + 4i) - (-2 + i)
Solve each equation or inequality.|2x + 1/3| + 1 < 4
Solve each equation for x5 x - (2a + c) = 4(x + c)
Find each sum or difference. Write answers in standard form.(-3 + 2i) - (-4 + 2i)
Solve each equation or inequality.|5x + 1/2| - 2 < 5
Solve each equation for x.2(x - a) + b = 3x + a
Find each sum or difference. Write answers in standard form.(–2 + 4i) – (–4 + 4i)
Solve each equation or inequality.|3x + 1| - 1 < 2
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.for x (standardized value) х — р
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.S = 2lw + 2wh + 2hl, for h (surface area of a rectangular box)
Find each sum or difference. Write answers in standard form.(3 + 2i) + (9 - 3i)
Solve each equation or inequality.|4 - 4x| + 2 = 4
Write each number in standard form a + bi.–5 + √–50/10
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.for g (distance traveled by a falling object) gt², 2812
Solve each equation or inequality.|6 - 2x| + 1 = 3
Write each number in standard form a + bi.–3 + √–18/24
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.S = 2πrh + 2πr2, for h (surface area of a right circular cylinder)
Solve each rational inequality. Give the solution set in interval notation. 3 9-x VI 2
Elmer borrowed $3150 from his brother Julio to pay for books and tuition. He agreed to repay Julio in 6 months with simple annual interest at 4%.(a) How much will the interest amount to?(b) What
Solve each equation or inequality.|8x + 5| = 0
Find each product. Write answers in standard form.(1 + 3i)(2 - 5i)
Solve each rational inequality. Give the solution set in interval notation. x-9 x + 2 I < 1
Solve each equation for x-x = (5 x + 3)(3k + 1)
Solve each equation or inequality.|18 - 3x| < -13
Find each product. Write answers in standard form.(2 + 4i) (–2 + 3i)
Solve each rational inequality. Give the solution set in interval notation. 1- x -
Solve each equation for x3x = (2 x - 1)(m + 4)
Solve each equation or inequality.|6 - 3x| < -11
Find each product. Write answers in standard form.(–2 + 3i) (4 – 2i)
Solve each rational inequality. Give the solution set in interval notation. x + 1 x-4 0
Solve each problem.Baby Boom U.S. population during the years between 1946 and 1964, commonly known as the Baby Boom, can be modeled by the following linear equation. y = 2.8370 x + 140.83 Here y
Solve each problem.College Enrollments The graph shows the projections in total enrollment at degree granting institutions from fall 2014 to fall 2021.The following linear model provides the
Solve each equation or inequality.|8 - 3x|- 3 = -2
Write each number in standard form a + bi.20 + √–8/2
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. h(B + b), for h (area of a trapezoid) %3D
Solve each problem.Classroom Ventilation According to the American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc. (ASHRAE), a nonsmoking classroom should have a ventilation
Solve each equation or inequality.|4x + 3|- 2 = -1
Write each number in standard form a + bi.10 + √-200/5
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator. h(B +b), for B (area of a trapezoid)
Solve each problem.Indoor Air Pollution Formaldehyde is an indoor air pollutant formerly found in plywood, foam insulation, and carpeting. When concentrations in the air reach 33 micro grams per
Solve each inequality. Give the solution set in interval notation.Explain why the equation |x| = √x2 has infinitely many solutions.
Write each number in standard form a + bi.–9 – √–18/3
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.P = 2l + 2w, for w (perimeter of a rectangle)
Solve each problem.Warehouse Club Membership Suppose that the annual fee for a warehouse club membership is $50 and that the reward rate on club purchases for the year is 1.6%. Then the actual annual
Solve each inequality. Give the solution set in interval notation.|0.01x + 1| < 0.01
Write each number in standard form a + bi.–6 – √–24/2
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.P = a + b + c, for c (perimeter of a triangle)
Solve each problem.Warehouse Club Membership If the annual fee for a warehouse club membership is $100 and the reward rate is 2% on club purchases for the year, then the linear equation y = 100 -
Solve each inequality. Give the solution set in interval notation.|5/3 - 1/2 x| > 2/9
Find each product or quotient. Simplify the answers.√–12 · √–6/√8
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.I = Prt, for P (simple interest)
Solve each problem.Cookbook Royalties Becky earned $48,000 from royalties on her cookbook. She paid a 28% income tax on these royalties. The balance was invested in two ways, some of it at 3.25%
Solve each inequality. Give the solution set in interval notation.|2/3 x + 1/2| ≤ 1/6
Find each product or quotient. Simplify the answers.√–6 · √–2/√3
Solve each formula for the specified variable. Assume that the denominator is not 0 if variables appear in the denominator.V = lwh, for l (volume of a rectangular box)
Solve each problem.Lottery Winnings Linda won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. She invested some of the rest at 1.5% and some at 4%, earning $4350
Solve each inequality. Give the solution set in interval notation.|7 - 3x| ≤ 4
Find each product or quotient. Simplify the answers.√–8/√–72
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.-0.6(x - 5) + 0.8(x - 6) = 0.2 x - 1.8
Solve each problem.Investing a Building Fund A church building fund has invested some money in two ways: part of the money at 3% interest and four times as much at 2.75%. Find the amount invested at
Solve each inequality. Give the solution set in interval notation.|5 - 3x| ≤ 7
Find each product or quotient. Simplify the answers.√–10/√–40
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.0.3(x + 2) - 0.5(x + 2) = -0.2 x - 0.4
Solve each problem.Retirement Planning In planning her retirement, Janet deposits some money at 2.5% interest, with twice as much deposited at 3%. Find the amount deposited at each rate if the total
Solve each inequality. Give the solution set in interval notation.|7 - 3x| > 4
Solve each problem.Buying and Selling Land Roger bought two plots of land for a total of $120,000. When he sold the first plot, he made a profit of 15%. When he sold the second, he lost 10%. His
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.-6(2 x + 1) - 3(x - 4) = -15 x + 1
Find each product or quotient. Simplify the answers.√–54/√27
Solve each inequality. Give the solution set in interval notation.|5 - 3x| > 7
Find each product or quotient. Simplify the answers.√–24/√8
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.4(x + 7) = 2(x + 12) + 2(x + 1)
Solve each problem.Real Estate Financing Cody wishes to sell a piece of property for $240,000. He wants the money to be paid off in two ways: a short-term note at 2% interest and a long-term note at
Solve each inequality. Give the solution set in interval notation.5|x + 1| > 10
Find each product or quotient. Simplify the answers.√–70/√–7
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.-8(x + 5) = -8 x - 5(x + 8)
Solve each problem.Acid Mixture How much pure acid should be added to 18 L of 30% acid to increase the concentration to 50% acid?
Solve each inequality. Give the solution set in interval notation.4|x - 3| > 12
Find each product or quotient. Simplify the answers.√–30/√–10
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.2(x - 8) = 3x - 16
Solve each problem.Saline Solution How much water should be added to 8 mL of 6% saline solution to reduce the concentration to 4%?
Solve each inequality. Give the solution set in interval notation.|3/5 + x| < 1
Find each product or quotient. Simplify the answers.√–5 · √–15
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set. (6x + 20) = x + 4 + 2(x + 3)
Solve each problem.Alcohol Mixture How many gallons of pure alcohol should be mixed with 20 gal of a 15% alcohol solution to obtain a mixture that is 25% alcohol?
Solve each inequality. Give the solution set in interval notation.|1/2 - x| < 2
Find each product or quotient. Simplify the answers.√–3 · √–8
Determine whether each equation is an identity, a conditional equation, or a contradiction. Give the solution set.4(2 x + 7) = 2 x + 22 + 3(2 x + 2)
Solve each problem.Alcohol Mixture Beau wishes to strengthen a mixture from 10% alcohol to 30% alcohol. How much pure alcohol should be added to 7 L of the 10% mixture?
Solve each inequality. Give the solution set in interval notation.|3x - 4| ≥ 2
Find each product or quotient. Simplify the answers.√–17 · √–17
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