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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

Solve the equation.2/3(x - 4) = 1/4(x + 1)
Solve the equation.1/3(x + 3) = 2/5(x + 2)
Solve the equation.6(t + 2) - 14 = 6t - 2
Solve the equation.4(x - 4) + 12 = 4(x - 1)
Solve the equation.3(x + 2) - 4 = 2(x - 4)
Solve the equation.2(x + 3) - 4 = 2(x - 4)
Solve the equation.r/3 + 2r = 7
Solve the equation.x/4 + 2x = 1/3
Solve the equation.6t - 7 = 8t + 9
Solve the equation.6t - 8 = 4t - 2
Solve the equation.Solve the equation.0.9x - 1.2 = 2.4
Solve the equation.(1/2)y + 1/3 = 1/4
Solve the equation.(1/2)x + 1/3 = 2/3
Solve the equation.25 = 4x + 5
Solve the equation.16 = -3t - 2
Solve the equation.y - 4 = 13
Solve the equation.y + 7 = 9
Combine like terms.n - 3/4 + (5/9)n - 1/6
Combine like terms.(1/4)x + 4/5 - (2/3)x
Combine like terms.2/3(3x + 9) - 1/4 (2x + 5)
Combine like terms.2/3(x + 6) + 1/6(x + 6)
Combine like terms.0.9(2.3x - 2) + 1.7(3.2x - 5)
Combine like terms.0.2(x + 4) + 1.2(x - 3)
Combine like terms.6(r - 3) - 2(r + 5) + 10
Combine like terms.3(t + 3) + 5(t - 2) + 1
Combine like terms.2p - 4q - 3p + 4q - 15
Combine like terms.7x - 4y - 8y + 6x + 2
Combine like terms.(1/5)x - (1/3)x - 4
Combine like terms.(3/5)x + (3/10)x - 8
Combine like terms.4.7x - 6.1 + 8.2x
Combine like terms.6.2x - 8.3 + 7.1x
Combine like terms.-0.2x + 1.7x - 4
Combine like terms.2 - 3x - 2x + 1
Combine like terms.-3x + 4x - 2 + 5
Combine like terms.-3x + 2 - 5x
Combine like terms.x - 4x + 3
Combine like terms.7x + 3y - 4x + 8y
Combine like terms.-9x - 2x + 15
Combine like terms.-7x + 3x - 8
Combine like terms.8x - 5x
Combine like terms.4x + 9x
Determine whether the given value is a solution to the equation.2x2 - 4x = -6, x = -1
Determine whether the given value is a solution to the equation.3x2 + 2x = 40, x = -4
Determine whether the given value is a solution to the equation.-2x2 + x + 5 = -20, x = 3
Determine whether the given value is a solution to the equation.-x2 + 3x + 6 = 5, x = 2
Determine whether the given value is a solution to the equation.7x - 1 = -29, x = -4
Evaluate the expression for the given value(s) of the variable(s).4x - 3, x = -1
Evaluate the expression for the given value(s) of the variable(s).4x - 7, x = 5/2
Determine whether the given value is a solution to the equation.4x + 5 = 17, x = 3
(a) Write the variation equation(b) Determine the quantity indicated.m varies inversely as the square of n. Determine m when n = 10 and k = 20.
Graph the solution set of the inequality, where x is a real number, on the number line.-4 < x ≤ 1
Evaluate the expression for the given value(s) of the variable(s).(2/3)x2 + x - 1, x = 1/2
(a) Write the variation equation(b) Determine the quantity indicated.x varies inversely as y. Determine x when y = 15 and k = 45.
Graph the solution set of the inequality, where x is a real number, on the number line.-1 ≤ x ≤ 3
Evaluate the expression for the given value(s) of the variable(s).(1/2)x2 - 5x + 2, x = 2/3
(a) Write the variation equation(b) Determine the quantity indicated.y varies directly as x. Determine y when x = 12 and k = 9.
Graph the solution set of the inequality, where x is a real number, on the number line.-2(x - 3) ≤ 4x + 6
Evaluate the expression for the given value(s) of the variable(s).-x2 + 3x - 10, x = -2
Graph the solution set of the inequality, where x is a real number, on the number line.4(2x - 1) < 2(4x - 3)
Evaluate the expression for the given value(s) of the variable(s).x2 - 5x + 12, x = 3
Graph the solution set of the inequality, where x is a real number, on the number line.3x + 12 < 5x + 14
Graph the solution set of the inequality, where x is a real number, on the number line.2x + 6 ≥ 14
Evaluate the expression for the given value(s) of the variable(s).-3x + 7, x = -2
Graph the solution set of the inequality, where x is a real number, on the number line.-x/2 ≥ -4
Graph the solution set of the inequality, where x is a real number, on the number line.-x/3 ≥ 3
Evaluate the expression for the given value(s) of the variable(s).x - 7, x = 4
Graph the solution set of the inequality, where x is a real number, on the number line.x/5 > 2
Evaluate the expression for the given value(s) of the variable(s).-x3, x = -4
Graph the solution set of the inequality, where x is a real number, on the number line.x/6 < 3
Evaluate the expression for the given value(s) of the variable(s).-2x3, x = -7
Graph the solution set of the inequality, where x is a real number, on the number line.-4x < 12
Evaluate the expression for the given value(s) of the variable(s).-x2, x = -1
Graph the solution set of the inequality, where x is a real number, on the number line.-6x ≤ 36
Evaluate the expression for the given value(s) of the variable(s).-x2, x = -5
Graph the solution set of the inequality, where x is a real number, on the number line.x - 8 > -9
Graph the solution set of the inequality, where x is a real number, on the number line.x + 9 ≥ 4
Evaluate the expression for the given value(s) of the variable(s).x2, x = 8
Graph the solution set of the inequality, where x is a real number, on the number line.x < 4
Evaluate the expression for the given value(s) of the variable(s).x2, x = -3
Fill in the blank with an appropriate word, phrase, or symbol(s).An equation that has no solution is called a(n) _______.
Graph the solution set of the inequality, where x is a real number, on the number line.x ≥ 4
Fill in the blank with an appropriate word, phrase, or symbol(s).An equation that has an infinite number of solutions is called a(n) _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).To indicate the solution set of x < 5 on the number line, we draw a(n) _______ circle at 5 and a line to the left of the circle.
Fill in the blank with an appropriate word, phrase, or symbol(s).An equation in which the highest exponent on the variable is a 1 is called a(n) __________ equation.
Fill in the blank with an appropriate word, phrase, or symbol(s).To indicate the solution set of x ≤ 5 on the number line, we draw a(n) ________ circle at 5 and a line to the left of the circle.
Fill in the blank with an appropriate word, phrase, or symbol(s).The numerical part of a term is called its numerical __________.
Fill in the blank with an appropriate word, phrase, or symbol(s).When both sides of an inequality are multiplied or divided by a(n) _________ number, the direction of the inequality symbol is
Fill in the blank with an appropriate word, phrase, or symbol(s).Terms that have the same variables with the same exponents on the variables are called __________ terms.
Fill in the blank with an appropriate word, phrase, or symbol(s).When solving an inequality, if you obtain a statement that is always true, such as 2 > 1, the solution is __________ real numbers.
Fill in the blank with an appropriate word, phrase, or symbol(s).The parts that are added or subtracted in an algebraic expression are called ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).When solving an inequality, if you obtain a statement that is always false, such as 3 > 5, the answer is _________ solution.
Fill in the blank with an appropriate word, phrase, or symbol(s).The number or numbers that replace the variable to make an equation a true statement is called the ______________ to the equation.
Fill in the blank with an appropriate word, phrase, or symbol(s).An inequality of the form a < x < b is called a(n) _________ inequality.
Fill in the blank with an appropriate word, phrase, or symbol(s).A collection of variables, numbers, grouping symbols, and operation symbols is called an algebraic _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).(a) a < b means that a is than ___________ b.(b) a > b means that a is than ___________ b.
Fill in the blank with an appropriate word, phrase, or symbol(s).A symbol that represents a specific quantity is called a(n) _________.
Fill in the blank with an appropriate word, phrase, or symbol(s).Two or more expressions joined by an inequality symbol is called a(n) ___________.
The study of operations research draws on several disciplines, including mathematics, probability theory, statistics, and economics. George B. Dantzig was one of the key people in developing
Which of the following inequalities have the same graph? Explain how you determined your answer.(a) 2x - y < 8 (b) -2x + y > -8c) 2x - 4y < 16(d) y > 2x - 8
Can a system of linear inequalities have a solution set consisting of a single point? Explain.

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