Graphs Of Absolute Value Functions and Inequalities (Lowersixth science Pure Maths)

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Test your knowledge on absolute value functions and inequalities!

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Graphs Of Absolute Value Functions and Inequalities (Lowersixth science Pure Maths)


Froggy Jumps Graphs Of Absolute Value Functions and Inequalities (Lowersixth science Pure Maths)Version en ligne Test your knowledge on absolute value functions and inequalities! par YAKILI LMS 1 What is the general form of an absolute value function? a f(x) = \|x\| b f(x) = x^2 c f(x) = x + 1 2 How does the graph of f(x) = \|x\| look? a V-shaped opening upwards b U-shaped opening downwards c Straight line 3 What is the vertex of the graph of f(x) = \|x - 3\|? a (0, 3) b (3, 0) c (3, 3) 4 Which inequality represents values above the x-axis for \|x\|? a \|x\| > 0 b \|x\| = 0 c \|x\| < 0 5 What does the graph of f(x) = \|x + 2\| - 1 represent? a A straight line b A U-shape c A V-shape shifted left and down 6 For which x does \|x\| = 5? a x = -5 b x = 5 or x = -5 c x = 5 7 What is the range of the function f(x) = \|x\|? a [0, ∞) b (-∞, ∞) c [0, 1) 8 How many x-intercepts does the graph of f(x) = \|x\| have? a 2 b 0 c 1 9 What transformation does f(x) = \|x\| + 3 apply to the graph? a Shift left by 3 b Shift up by 3 c Shift down by 3 10 Which of the following is an absolute value inequality? a x < 4 b x^2 < 4 c \|x\| < 4 11 What is a polynomial? a An equation with only constants. b A type of logarithmic function. c An expression consisting of variables and coefficients with non-negative integer exponents. 12 What is the degree of the polynomial 3x^4 + 2x^2 - 5? a 4 b 3 c 2 13 Which of the following is a polynomial? a 5x^3 - 2x + 7 b sqrt(x) + 2 c x^(-1) + 3 14 What is the leading coefficient of the polynomial 4x^5 + 3x^2 - 1? a -1 b 4 c 3 15 Can a polynomial have negative exponents? a Yes, it can have negative exponents. b Only in certain cases. c No, it cannot have negative exponents. 16 What is the standard form of a polynomial? a Terms arranged in ascending order of degree. b Terms arranged in descending order of degree. c Terms in random order. 17 What is the polynomial 2x^3 + 3x^2 - x + 4 classified as? a Quadratic polynomial b Linear polynomial c Cubic polynomial 18 Which term is not a polynomial term? a 7 b 3/x c 5x^2 19 What is the sum of the polynomials 2x + 3 and 4x - 5? a 2x - 2 b 6x + 2 c 6x - 2 20 What is a monomial? a A polynomial with two terms. b A polynomial with only one term. c A polynomial with three terms. 21 What is the result of (3x^2 + 2x) + (4x^2 + 5)? a 7x^2 + 2x + 5 b 7x^2 + 5 c 7x^2 + 2x 22 How do you subtract (5x^3 + 2x) - (3x^3 + x)? a 2x^3 + 3x b 2x^3 - x c 2x^3 + x 23 What is the coefficient of x in the expression (2x + 3) + (4x - 1)? a 7 b 6 c 5 24 If you have (x^2 + 3x) - (2x^2 - x), what is the simplified form? a x^2 + 4x b -x^2 + 4x c -x^2 + 3x 25 What is the degree of the polynomial (2x^3 + 4x^2 - x + 7)? a 3 b 4 c 2 26 When adding (x^2 + 5) + (2x^2 + 3x), what is the x^2 term? a 2x^2 b 3x^2 c 5x^2 27 What is the result of (6x^2 - 4) - (2x^2 + 3)? a 4x^2 + 1 b 4x^2 - 7 c 8x^2 - 1 28 In the expression (3x + 2) + (x - 5), what is the constant term? a 5 b 2 c -3 29 What do you get when you subtract (4x^2 + 3x) from (2x^2 + 5)? a -2x^2 + 8 b 2x^2 - 3x c -2x^2 + 3x + 5 30 What is the sum of (x^3 + 2x) and (3x^3 - x)? a 2x^3 + x b 4x^3 - x c 4x^3 + x 31 What is the product of (x + 2)(x + 3)? a x^2 + 5x + 6 b x^2 + 2x + 3 c x^2 + 6x + 5 32 Which method is commonly used for multiplying polynomials? a FOIL method b Distributive property c Factoring 33 What is the result of (2x)(3x^2)? a 6x^2 b 5x^2 c 6x^3 34 What is (x - 1)(x + 1) equal to? a x^2 - 2 b x^2 - 1 c x^2 + 1 35 What do you get when you multiply (x + 4) by (x - 4)? a x^2 - 8 b x^2 - 16 c x^2 + 16 36 What is the degree of the polynomial resulting from (x + 2)(x^2 + 3)? a 3 b 2 c 4 37 What is the coefficient of x in the product of (2x)(3x + 4)? a 8 b 12 c 6 38 Which of the following is a binomial? a x + 5 b x^3 - 1 c x^2 + 3x + 2 39 What is the result of (x + 1)^2? a x^2 + 2x + 1 b x^2 + 1 c x^2 + x + 1 40 When multiplying (x + 3) by (x^2 - 2), what is the x^2 term? a x^3 + 3x^2 + 6 b x^3 - 6 c x^3 + 3x^2 - 6 41 What does the division algorithm state? a Any integer can be expressed as a quotient and a remainder. b Any integer can be expressed as a product and a sum. c Any integer can be expressed as a difference and a quotient. 42 In the division algorithm, what are the two main components? a Quotient and remainder. b Sum and difference. c Product and factor. 43 If a = bq + r, what does 'r' represent? a The product of a and b. b The quotient when a is divided by b. c The remainder when a is divided by b. 44 What is the condition for the remainder 'r' in the division algorithm? a -b < r < 0. b 0 < r ≤ b. c 0 ≤ r < b. 45 If a = 17 and b = 5, what is the quotient (q)? a 4. b 2. c 3. 46 If a = 17 and b = 5, what is the remainder (r)? a 3. b 2. c 1. 47 Which of the following is an example of the division algorithm? a 23 = 5 * 4 + 3. b 23 = 5 * 3 + 8. c 23 = 5 * 5 - 2. 48 What is the primary use of the division algorithm? a To solve polynomial equations. b To find the quotient and remainder of integer division. c To calculate square roots. 49 Which mathematical concept is closely related to the division algorithm? a Modulus operation. b Exponential growth. c Linear equations. 50 What is the result of applying the division algorithm to negative integers? a It does not apply to negative integers. b It still holds, with adjusted definitions for remainder. c It only applies to positive integers.

Graphs Of Absolute Value Functions and Inequalities (Lowersixth science Pure Maths)

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Graphs Of Absolute Value Functions and Inequalities (Lowersixth science Pure Maths)Version en ligne

par YAKILI LMS

What is the general form of an absolute value function?

How does the graph of f(x) = |x| look?

What is the vertex of the graph of f(x) = |x - 3|?

Which inequality represents values above the x-axis for |x|?

What does the graph of f(x) = |x + 2| - 1 represent?

For which x does |x| = 5?

What is the range of the function f(x) = |x|?

How many x-intercepts does the graph of f(x) = |x| have?

What transformation does f(x) = |x| + 3 apply to the graph?

Which of the following is an absolute value inequality?

What is a polynomial?

What is the degree of the polynomial 3x^4 + 2x^2 - 5?

Which of the following is a polynomial?

What is the leading coefficient of the polynomial 4x^5 + 3x^2 - 1?

Can a polynomial have negative exponents?

What is the standard form of a polynomial?

What is the polynomial 2x^3 + 3x^2 - x + 4 classified as?

Which term is not a polynomial term?

What is the sum of the polynomials 2x + 3 and 4x - 5?

What is a monomial?

What is the result of (3x^2 + 2x) + (4x^2 + 5)?

How do you subtract (5x^3 + 2x) - (3x^3 + x)?

What is the coefficient of x in the expression (2x + 3) + (4x - 1)?

If you have (x^2 + 3x) - (2x^2 - x), what is the simplified form?

What is the degree of the polynomial (2x^3 + 4x^2 - x + 7)?

When adding (x^2 + 5) + (2x^2 + 3x), what is the x^2 term?

What is the result of (6x^2 - 4) - (2x^2 + 3)?

In the expression (3x + 2) + (x - 5), what is the constant term?

What do you get when you subtract (4x^2 + 3x) from (2x^2 + 5)?

What is the sum of (x^3 + 2x) and (3x^3 - x)?

What is the product of (x + 2)(x + 3)?

Which method is commonly used for multiplying polynomials?

What is the result of (2x)(3x^2)?

What is (x - 1)(x + 1) equal to?

What do you get when you multiply (x + 4) by (x - 4)?

What is the degree of the polynomial resulting from (x + 2)(x^2 + 3)?

What is the coefficient of x in the product of (2x)(3x + 4)?

Which of the following is a binomial?

What is the result of (x + 1)^2?

When multiplying (x + 3) by (x^2 - 2), what is the x^2 term?

What does the division algorithm state?

In the division algorithm, what are the two main components?

If a = bq + r, what does 'r' represent?

What is the condition for the remainder 'r' in the division algorithm?

If a = 17 and b = 5, what is the quotient (q)?

If a = 17 and b = 5, what is the remainder (r)?

Which of the following is an example of the division algorithm?

What is the primary use of the division algorithm?

Which mathematical concept is closely related to the division algorithm?

What is the result of applying the division algorithm to negative integers?