Inequalities And Inequations (Lowersixth science Pure maths)

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Test your knowledge on solving inequalities with this fun quiz game!

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Inequalities And Inequations (Lowersixth science Pure maths)


Froggy Jumps Inequalities And Inequations (Lowersixth science Pure maths)Version en ligne Test your knowledge on solving inequalities with this fun quiz game! par YAKILI LMS 1 What is the first step in solving an inequality? a Multiply both sides by a negative. b Isolate the variable. c Add the same number to both sides. 2 What happens when you multiply or divide by a negative number? a The inequality sign flips. b You add to both sides. c Nothing changes. 3 Which symbol represents 'greater than or equal to'? a ≤ b < c ≥ 4 How do you express 'x is less than 5' in inequality form? a x < 5 b x > 5 c x ≤ 5 5 What is the solution to the inequality 2x + 3 < 11? a x ≤ 4 b x > 4 c x < 4 6 When graphing inequalities, what type of circle is used for 'greater than'? a Filled circle. b Closed circle. c Open circle. 7 What does the solution set of an inequality represent? a No values at all. b All possible values of the variable. c Only one value. 8 What is the solution to the compound inequality 3 < x + 2 < 7? a 1 < x < 5 b x < 1 or x > 5 c x > 1 and x < 5 9 Which of the following is an example of a linear inequality? a 5x + 3 = 10 b x^2 < 5 c 3x - 4 > 2 10 What does 'x ≥ 0' mean in context? a x is zero or positive. b x is negative. c x is less than zero. 11 What is the general form of a linear inequality? a ax - b > c b ax + b = c c ax + b < c 12 Which symbol represents 'greater than or equal to'? a ≥ b > c ≤ 13 What is the solution set of x < 3? a All numbers greater than 3 b All numbers less than 3 c Only the number 3 14 How do you graph the inequality x > 2? a Open circle at 2, shade right b Open circle at 2, shade left c Closed circle at 2, shade left 15 What happens when you multiply or divide by a negative number in an inequality? a The inequality becomes an equation b The sign remains the same c The inequality sign flips 16 Which of the following is a compound inequality? a x < 5 and x > 1 b x + 2 < 7 c x - 3 > 4 17 What is the solution to the inequality 2x + 3 > 7? a x = 2 b x > 2 c x < 2 18 In the inequality 3x - 4 ≤ 5, what is the first step to solve for x? a Subtract 4 from both sides b Multiply by 3 c Add 4 to both sides 19 What does the inequality x ≤ 0 represent? a All numbers greater than 0 b Only the number 0 c All numbers less than or equal to 0 20 Which of the following is NOT a linear inequality? a x^2 + 2x < 5 b 2x + 3 > 1 c x - 1 ≤ 4 21 What is the standard form of a quadratic inequality? a ax + b < 0 b ax^2 + bx + c < 0 or > 0 c a^2 + b^2 < c 22 How do you solve a quadratic inequality? a Find the roots and test intervals. b Graph the function only. c Use the quadratic formula only. 23 What does the graph of a quadratic inequality represent? a Only the vertex of the parabola. b The regions where the inequality holds true. c The x-intercepts only. 24 When is a quadratic expression positive? a When it lies above the x-axis. b When it lies below the x-axis. c When it equals zero. 25 What is the first step in solving x^2 - 5x + 6 < 0? a Set x^2 - 5x + 6 = 0. b Factor the quadratic to (x-2)(x-3) < 0. c Graph the inequality. 26 What do you do after finding the roots of a quadratic inequality? a Test the intervals between the roots. b Ignore the roots. c Only consider the leftmost root. 27 Which symbol indicates that a quadratic inequality includes the boundary? a ≤ or ≥. b ≠. c < or >. 28 What is the solution set of x^2 - 4 > 0? a x = 2 b x < -2 or x > 2. c -2 < x < 2 29 What does the vertex of a quadratic function indicate? a The y-intercepts. b The maximum or minimum point of the parabola. c The x-intercepts. 30 What is the significance of the discriminant in quadratic inequalities? a It shows the slope of the parabola. b It determines the nature of the roots. c It indicates the vertex position. 31 What is a rational function? a A function that can be expressed as the ratio of two polynomials. b A function involving only integers. c A function that is always linear. 32 What is the general form of a rational function? a f(x) = ax + b b f(x) = e^x c f(x) = P(x)/Q(x), where P and Q are polynomials. 33 How do you find the vertical asymptote of a rational function? a Set the numerator P(x) to zero. b Set the denominator Q(x) to zero and solve for x. c Find the derivative of the function. 34 What does it mean if a rational function is undefined? a It has a maximum value. b It has no real roots. c It occurs when the denominator equals zero. 35 What is the horizontal asymptote of f(x) = (2x^2 + 3)/(x^2 + 1)? a y = 3 b y = 2, since the degrees of P and Q are equal. c y = 1 36 Which inequality represents the solution set for f(x) > 0? a The intervals where f(x) = 0. b The intervals where the rational function is positive. c The intervals where f(x) < 0. 37 What is the first step in solving inequalities involving rational functions? a Calculate the derivative. b Identify the critical points by setting P(x) and Q(x) to zero. c Graph the function. 38 What does the sign chart help determine in rational inequalities? a The maximum value of the function. b The domain of the function. c The intervals where the function is positive or negative. 39 When is a rational function increasing? a When its numerator is positive. b When its derivative is positive. c When its denominator is negative. 40 What is the significance of the x-intercepts in rational functions? a They indicate vertical asymptotes. b They show where the function is undefined. c They indicate where the function crosses the x-axis. 41 What is the definition of the absolute value of a number? a The square of the number. b The distance of a number from zero on the number line. c The number itself. 42 Which inequality represents \|x\| < 3? a x > -3 b x < 3 c -3 < x < 3 43 What is the solution to \|x - 2\| > 5? a x > -3 b x < -3 or x > 7 c x < 7 44 How do you solve \|2x + 1\| = 4? a 2x + 1 = 4 or 2x + 1 = -4 b 2x + 1 = 2 c 2x + 1 = 0 45 What does \|x\| = a imply if a is positive? a x = a or x = -a b x = -a c x = a 46 Which of the following is a property of absolute values? a \|a\| < 0 for all a. b \|a\| ≥ 0 for all a. c \|a\| = a for all a. 47 What is the graphical representation of \|x\|? a A U-shape opening downwards. b A straight line. c A V-shape opening upwards. 48 If \|x - 5\| < 2, what is the range of x? a x > 7 b 3 < x < 7 c x < 3 49 What is the result of \|−7\|? a 0 b −7 c 7 50 Which statement is true about \|x\|? a \|x\| = -x if x ≥ 0. b \|x\| = 0 if x > 0. c \|x\| = x if x ≥ 0.

Inequalities And Inequations (Lowersixth science Pure maths)

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Inequalities And Inequations (Lowersixth science Pure maths)Version en ligne

par YAKILI LMS

What is the first step in solving an inequality?

What happens when you multiply or divide by a negative number?

Which symbol represents 'greater than or equal to'?

How do you express 'x is less than 5' in inequality form?

What is the solution to the inequality 2x + 3 < 11?

When graphing inequalities, what type of circle is used for 'greater than'?

What does the solution set of an inequality represent?

What is the solution to the compound inequality 3 < x + 2 < 7?

Which of the following is an example of a linear inequality?

What does 'x ≥ 0' mean in context?

What is the general form of a linear inequality?

Which symbol represents 'greater than or equal to'?

What is the solution set of x < 3?

How do you graph the inequality x > 2?

What happens when you multiply or divide by a negative number in an inequality?

Which of the following is a compound inequality?

What is the solution to the inequality 2x + 3 > 7?

In the inequality 3x - 4 ≤ 5, what is the first step to solve for x?

What does the inequality x ≤ 0 represent?

Which of the following is NOT a linear inequality?

What is the standard form of a quadratic inequality?

How do you solve a quadratic inequality?

What does the graph of a quadratic inequality represent?

When is a quadratic expression positive?

What is the first step in solving x^2 - 5x + 6 < 0?

What do you do after finding the roots of a quadratic inequality?

Which symbol indicates that a quadratic inequality includes the boundary?

What is the solution set of x^2 - 4 > 0?

What does the vertex of a quadratic function indicate?

What is the significance of the discriminant in quadratic inequalities?

What is a rational function?

What is the general form of a rational function?

How do you find the vertical asymptote of a rational function?

What does it mean if a rational function is undefined?

What is the horizontal asymptote of f(x) = (2x^2 + 3)/(x^2 + 1)?

Which inequality represents the solution set for f(x) > 0?

What is the first step in solving inequalities involving rational functions?

What does the sign chart help determine in rational inequalities?

When is a rational function increasing?

What is the significance of the x-intercepts in rational functions?

What is the definition of the absolute value of a number?

Which inequality represents |x| < 3?

What is the solution to |x - 2| > 5?

How do you solve |2x + 1| = 4?

What does |x| = a imply if a is positive?

Which of the following is a property of absolute values?

What is the graphical representation of |x|?

If |x - 5| < 2, what is the range of x?

What is the result of |−7|?

Which statement is true about |x|?