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Questions and Answers of College Algebra

Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 6x - 5 = 3x + 10
Solve each equation. |2x - 1 = 11
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |5x – 8| +9 ≥7
Solve each problem. -4
Two cars leave from the same point at the same time, traveling in opposite directions. One travels 15 mph slower than the other. After 6 hr, they are 630 mi apart. Find the rate of each car.
Simplify each expression. - (3k + 8) - 2(4k - 7) + 3(8k+ 12)
Find the measure of each angle in the triangle. to (2x + 20)° to
Solve each equation. |2x + 3 = 19
How many liters of a 20% alcohol solution should be added to 40 L of a 50% alcohol solution to make a 30% solution?
Simplify each expression.-7r + 5 - 13r + 12
Solve each problem. -0.3x + 2.1(x-4) ≤ -6.6
Solve for the specified variable.P = a + b + c + B for c
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 9x3(x + 1) = 8x - 7
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.A ∪ B
Solve each problem. |5r – 1| > 14
Solve each equation. 3 -x + − x = - 17 4 बॉल
A rectangular solid has a volume of 180 ft3. Its length is 6 ft and its width is 5 ft. Find its height. H W L -
Solve each equation. 2x + 3 5 x-4 2
Solve each equation. 4x − 5 = 17 -
Solve for the specified variable.4x + 7y = 9 for y
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 8= |x|
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.B ∪ D
Solve each inequality. Graph the solution set, and write it using interval notation. 4 7 > -16
Solve each equation. |5x – 1| = 21
Solve each equation. |3m - 5| = |m + 2| +
Solve each problem. x = -2 or x < 4
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 9x59x + 3
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.B ∪ C
Solve each equation. 2x + 5 = 14
Solve each problem. |x-1| = |2x + 3|
Solve each inequality. Graph the solution set, and write it using interval notation. -1 < 3x-4
Two sets are specified by graphs. Graph the intersection of the two sets. 0 0 5 5
Solve each equation. A = P(1 + ni) for n
The number of students attending college in 2015 was 20.2 million. This number is expected to increase to 23.1 million by the year 2024. To the nearest tenth, what is the expected percent increase?
Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5}, C = {1, 6}, and D = {4}. Find each set.C ∪ D
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 13x5 13x - 8
Solve each equation. |2x - 9 = 18
Two sets are specified by graphs. Graph the intersection of the two sets. -3 -3 0 0 2 2
Find the annual simple-interest rate that Halina is earning if the principal of $30,000 earns $3900 interest in 4 yr.
Solve each problem. 3x 5 X 2 = 3
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. x < 5.5
Solve each problem. |3x - 7 = 4
Solve each inequality. Graph the solution set, and write it using interval notation. 4 -6-x-2≤2 3
At the end of 2016, there were 395.9 million wireless subscriptions in the United States. (Data from CTIA.) The circle graph shows market share by carrier during the fourth quarter of 2016.To the
Two sets are specified by graphs. Graph the intersection of the two sets. 0 0 2 2 + 5 5
Solve each equation. |-3x + 8 = 1
If the Fahrenheit temperature is 77°, what is the corresponding Celsius temperature?
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 4x112 + x
Solve each inequality. Graph the solution set, and write it using interval notation. -4
At the end of 2016, there were 395.9 million wireless subscriptions in the United States. (Data from CTIA.) The circle graph shows market share by carrier during the fourth quarter of 2016.To the
Two sets are specified by graphs. Graph the intersection of the two sets. + 0 0 3 3 6 6
Solve each equation. |-6x + 5 = 4
Which one of the following inequalities is equivalent to x < -3? A. -3x < 9 B. -3x>-9 C. -3x > 9 D. -3x < -9
Solve each problem. 5(2x - 7) = 2(5x + 3)
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 2 बॉल T = -x + 8 = = x 4 3
Solve each compound inequality. Graph the solution set, and write it using interval notation. x < 2 and x > −3
Justin must have an average of at least 80 on the four tests in a course to get a B. He had scores of 83, 76, and 79 on the first three tests. What possible scores on the fourth test would guarantee
Solve each problem. -5x-56
Solve each inequality. Graph the solution set, and write it using interval notation. 2x+1> 5 or 2-x>2
Solve each equation. 12 x = 6 2
Solve each equation. 14 - 3 8 =
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 5 -x-20 8
Solve each inequality. Graph the solution set, and write it using interval notation. |-7k + 3 ≥ 4
Solve each compound inequality. Graph the solution set, and write it using interval notation. x < 5 and x > 0
Solve each problem. -5x + 1 ≥ 11 or 3x + 5 ≥ 26 =
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 1 4 x
Solve each compound or absolute value equation or inequality. 3x ≥ 6 and x
Solve each compound inequality. Graph the solution set, and write it using interval notation. x ≤ 2 and x ≤ 5
The length of a rectangle is 3 m less than twice the width. The perimeter of the rectangle is 42 m. Find the length and width of the rectangle. W L
Let A = {1, 2, 5, 7} and B = {1, 5, 9, 12}. Find each set. (a) A ∩ B (b) A U B
Luke invested some money at 7% interest and the same amount at 10%. His total interest for the year was $150 less than one-tenth of the total amount he invested. How much did he invest at each rate?
Solve each equation. |0.5x| = 6
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. St VI 2/3 VI
Solve each compound or absolute value equation or inequality. - 4x = -24 or 4x < 12
In a triangle with two sides of equal length, the third side measures 15 in. less than the sum of the two equal sides. The perimeter of the triangle is 53 in. Find the lengths of the three sides.
A newspaper recycling collection bin is in the shape of a box 1.5 ft wide and 5 ft long. If the volume of the bin is 75 ft3, find the height.
Solve each compound inequality. Graph the solution set, and write it using interval notation. x ≥ 3 and x ≥6
Solve each equation. |0.3x| = 9
A diet must include three foods, A, B, and C, with twice as many grams of food A as of food C, and 5 g of food B. The three foods must total at most 24 g. What is the largest amount of food C that
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 3 -X 5 1 10 || 2
Solve each compound or absolute value equation or inequality. |4x + 3| ≤7
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. X 6 3x 5 = x - 86
Solve each compound inequality. Graph the solution set, and write it using interval notation. x≤ 3 and x ≥ 6
Solve each compound or absolute value equation or inequality. 5 - 6x > 12
Solve each equation. x+3 = 2
The sum of the first and third of three consecutive integers is 47 more than the second integer. What are the integers?
Zach has scores of 88 and 78 on his first two tests. What score must he make on his third test to earn an average of 80 or greater?
Solve each compound inequality. Graph the solution set, and write it using interval notation. x-1 and x ≥ 3
A candy clerk has three times as many kilograms of chocolate creams as peanut clusters. The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters does the clerk have?
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. x + 9 + 7x = 4(3 + 2x) - 3
Solve each equation. 2 |x-1|= बॉल 3 = 5
To qualify for a company pension plan, an employee must average at least $1000 per month in earnings. During the first four months of the year, an employee made $900, $1200, $1040, and $760. What
Solve each compound or absolute value equation or inequality. |3x - 9 = 6
Telescope Peak, altitude 11,049 ft, is next to Death Valley, 282 ft below sea level. Find the difference between these altitudes.
How many liters of a 20% solution of a chemical should be mixed with 15 L of a 50% solution to obtain a 30% mixture?
For a woven hanging, Janette needs three pieces of yarn, which she will cut from a 40 cm piece. The longest piece is to be 3 times as long as the middle-sized piece, and the shortest piece is to be 5
Solve each compound inequality. Graph the solution set, and write it using interval notation. x − 3 ≤6 and x + 2 ≥7
How much water should be added to 30 L of a 40% acid solution to reduce it to a 30% solution? Liters of Solution X Percent (as a decimal) 0.40 0.30 Liters of Pure Acid
How many liters of a 20% solution of a chemical should be mixed with 10 L of a 50% solution to obtain a 40% mixture?
Solve each compound or absolute value equation or inequality. |-3x+4| -4 < −1 -1

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