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Questions and Answers of College Algebra

Write an equation of a circle with center (-4, 6) and radius 5.
Simplify. Assume that all variables represent positive real numbers. (3 + 2i)²
Simplify. Assume that all variables represent positive real numbers. 3 + √54 6
Find the distance between the points (-4, 2) and (2, 10).
If ƒ(x) = 3x - 7, find ƒ(-10).
Find the slope of the line passing through the points (-4, 6) and (2, -3). Then find the equation of the line and write it in the form y = mx + b.
Solve each problem. Graph the equation 4x - 3y = 12.
Graph each function, and give its domain and range. f(x) = √√x + 4
Simplify each expression. Leave answers in exponential form. Assume that all variables represent positive real numbers. 73/47-1/4
Simplify. Assume that all variables represent positive real numbers. V50 V-2
Graph each function, and give its domain and range. f(x)=√x - 1
Solve each equation or inequality. -2
Simplify. Assume that all variables represent positive real numbers. (49i) (-1 + 2i)
Simplify. Assume that all variables represent positive real numbers. -5√18+ 12√72
Find each root. Vx20
Simplify each expression. Leave answers in exponential form. Assume that all variables represent positive real numbers. (-64)-4/3
Solve each equation or inequality. -5-3(x-2)
How many liters of pure alcohol must be mixed with 40 L of 18% alcohol to obtain a 22% alcohol solution?
Find each root. √√x³
Simplify each expression. Leave answers in exponential form. Assume that all variables represent positive real numbers. 16-3/2 25
Simplify. Assume that all variables represent positive real numbers. 3 12 25
Solve each equation or inequality. |6x + 7 = 13
A piggy bank has 100 coins, all of which are nickels and quarters. The total value of the money is $17.80. How many of each denomination are there in the bank?
Solve each equation or inequality. 0.04x + 0.06(100 - x) = 5.88
Find each root. V.x²
Under what conditions is n√a not a real number?
Simplify. Assume that all variables represent positive real numbers. -1 12
Simplify. Assume that all variables represent positive real numbers. -49
Find each root. -32
Find each root. -27
Simplify. Assume that all variables represent positive real numbers.i-1000
Use a calculator to approximate each radical to three decimal places. -832
Solve each equation or inequality. 1 1 = x + = (x + 8) = x + 7 3 4
Use a calculator to approximate each radical to three decimal places. V478
Simplify. Assume that all variables represent positive real numbers. 542918
Graph the function ƒ(x) = √x + 6, and give its domain and range.
Solve each equation or inequality. 3(x + 2) - 4(2x + 3) = -3x+2
Find each root. V-125
Find each root. V216
Evaluate. 1251/3
Simplify. Assume that all variables represent positive real numbers. 2 -1/5. 23/10 27/10
Find each root. -V289
Perform the indicated operations. 3 -1 + .
Match each part of a rule for a special product in Column I with the part it equals in Column II. Assume that A and B represent positive real numbers. II A. x - y B. x + 2y√x + y² C. x - y² D. x
Evaluate. V-512
Perform the indicated operations. 8(-4) - 3².6 -4.2³ +12
Find each root. V1764
Evaluate. - V841
Perform the indicated operations. -42-7-(-3)(-9)
Solve each equation. 3Vx 12V/2x + 2 -
Simplify. Assume that all variables represent positive real numbers. -V169a²b4
Write each number as a product of a real number and i. Simplify all radical expressions. V-96
Which is the greatest perfect cube factor of 81a7?A. 8a3 B. 27a3 C. 81a6 D. 27a6
Find each root. V343
Multiply. Assume that all variables represent positive real numbers. V3. V6
Simplify. Assume that all variables represent positive real numbers.1000-2/3
Simplify. Assume that all variables represent positive real numbers. 3√20-5√80+ 4√500
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 5√54-2V/24-2V/96
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 2√25 8√50
Evaluate each exponential. 8 27 1/3
Solve each equation. V/2x9 = √5x + 3
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (V20 - √5)(√20+ √5)
Perform the indicated operations. 6y4 3y³ + 5y2 + 6y - 9 2y + 1 -
Use Heron’s formulawhere s = 1/2 (a + b + c), to find the area of a triangle with sides of lengths 11 in., 13 in., and 20 in. = Vs(sa)(sb) (s — c), -
Solve each equation. 2√x - √5x - 16 =
Find each root. 216
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 16V3 5V12
Multiply. Assume that all variables represent positive real numbers. 险防
Simplify. Assume that all variables represent positive real numbers. √2. √5
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 2√5 + 3√20 +4√45
Write each number as a product of a real number and i. Simplify all radical expressions. V-48
Solve each equation. √x + 4 = x - 2
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (√8-√2)(√8+ √2)
Evaluate each exponential. 64 81 1/2
Perform the indicated operations. (8x-7)(x + 3)
Simplify. Assume that all variables represent positive real numbers. V32a7b¹3 13
The time t in seconds for one complete swing of a pendulum is given bywhere L is the length of the pendulum in feet, and g, the force due to gravity, is about 32 ft per sec2. Find the time of a
Solve each equation. 2√x = √3x + 4
Find each root. - V121
Write each number as a product of a real number and i. Simplify all radical expressions. V-21
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 3 5x
Multiply. Assume that all variables represent positive real numbers. √7. √5xt
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 5√8+3√72-3√/50 31
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (√7 + √14)(√7 - √14)
Evaluate each exponential. 6251/4
Find the perimeter of a triangular electronic highway road sign having the dimensions shown in the figure. All Traffic Must Exit lowa Highway 64 √50 ft V108 ft 2√/27 ft
Perform the indicated operations. (3k³ - 5k² + 8k - 2) (4k³ +11k + 7) + (2k² - 5k) -
Use a calculator to approximate each radical to three decimal places. -√28
Solve each equation. V 4x - 2 = V3x + 5 - 5
Solve each equation. V9x - 4 V8x + 1 =
Use a calculator to approximate each radical to three decimal places. 500
Simplify. Assume that all variables represent positive real numbers. 21 2√z √z-2 z #4
In 2017, sending five 2-oz letters and three 3-oz letters by first class mail would have cost $6.23. Sending three 2-oz letters and five 3-oz letters would have cost $6.65. What was the rate for one
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (√2-√3)(√2+√3)
Evaluate each exponential. 161/4
Find each root. -V81
Simplify. Assume that all variables represent positive real numbers. √54x5y6
Write each number as a product of a real number and i. Simplify all radical expressions. V-5
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 3 √5+2
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 6V18-√32+2V/50

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