Simple Algebra ( Form 3, Mathematics)

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Test your knowledge on terms and indices!

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Simple Algebra ( Form 3, Mathematics)


Froggy Jumps Simple Algebra ( Form 3, Mathematics)Online version Test your knowledge on terms and indices! by YAKILI LMS 1 What are like terms in algebra? a Terms with the same variables and exponents b Terms with different variables c Terms with different coefficients 2 What are unlike terms? a Terms with the same variables b Terms with the same coefficients c Terms with different variables or exponents 3 Simplify: 3x + 5x. a 8x b 8 c 15x 4 What is an index in mathematics? a A mathematical operation b A number indicating the power to which a number is raised c A type of variable 5 Evaluate: 2^3. a 8 b 9 c 6 6 What does 5^0 equal? a 0 b 1 c 5 7 Which of these is an example of a like term? a 5b and 3c b 3b and 2a c 4a and 7a 8 Simplify: x^2 * x^3. a x^1 b x^6 c x^5 9 What is the value of 10^1? a 1 b 10 c 100 10 If 2^x = 8, what is x? a 3 b 4 c 2 11 What is the first step in expanding (a + b)? a Add a and b first b Apply the distributive property c Subtract b from a 12 What is the result of expanding 3(x + 2)? a 3x + 2 b x + 6 c 3x + 6 13 When substituting x=2 in 2x + 5, what is the value? a 9 b 7 c 10 14 What does expanding brackets mean? a Adding brackets b Dividing inside brackets c Removing brackets by multiplying 15 How do you expand (x + 3)(x + 4)? a x^2 + 7 b x^2 + 7x + 12 c x^2 + 12 16 What is the expanded form of 5(a - 2)? a a - 10 b 5a + 2 c 5a - 10 17 If x=3, what is the value of 2(x + 4)? a 14 b 10 c 20 18 What is the key concept in substitution? a Adding variables b Multiplying variables c Replacing a variable with a number 19 What is the expanded form of (2x + 3)(x + 1)? a 2x^2 + 3x + 4 b 2x^2 + 5x + 3 c 2x^2 + 3x + 1 20 When expanding (a + b)^2, what is the result? a a^2 + 2ab + b^2 b a^2 + b^2 c a^2 + b^2 + 2a + 2b 21 What is the product of (x + 2) and (x + 3)? a x^2 + 5x + 5 b x^2 + 6x + 5 c x^2 + 5x + 6 22 How do you multiply two brackets with fractions, like (1/2 + x) and (x + 3/4)? a Subtract the fractions b Add the fractions directly c Multiply each term and simplify 23 What is the product of (x/3 + 2) and (x/3 + 4)? a x^2/9 + 4x/3 + 8 b x^2/9 + 2x/3 + 8 c x^2/9 + 2x/3 + 6 24 When multiplying (a + 1/2) and (a + 3/4), what is the middle term? a a * 3/4 + 1/2 * a b a + 1/2 c a + 3/4 25 What is the result of multiplying (x + 1/3) and (x + 2/3)? a x^2 + x/3 + 2x/3 + 2/9 b x^2 + x + 2/3 c x^2 + 2x/3 + 1/3 26 How do you expand (x + 2/5)(x + 3/5)? a x^2 + 3x/5 + 2x/5 + 6/25 b x^2 + 2x/5 + 3/5 c x^2 + 5x/5 + 6/25 27 What is the product of (3/4 + x) and (x + 1/2)? a x^2 + 3/4 + 1/2 b 3x/4 + x^2 + x/2 + 1/8 c 3/4 + x + 1/2 28 When multiplying (x + 1/3) and (x + 2/3), what is the coefficient of x? a 3 b 1 c 2 29 What is the product of (x/2 + 1) and (x/2 + 2)? a x^2/4 + x/2 + 2 b x^2/4 + 2x + 2 c x^2/4 + x + 2 30 How do you multiply fractions in brackets, like (2/3 + x) and (x + 4/5)? a Subtract the fractions b Distribute and simplify c Add the fractions 31 What is the first step in factorising 12x + 18? a Find the common factor b Rewrite as a product c Divide both terms by 2 32 Which number is a common factor of 8 and 12? a 6 b 4 c 2 33 Factorise 3x + 6. a (3x + 6) b 3(x + 2) c x + 2 34 What is factorisation by grouping? a Dividing terms b Adding terms c Grouping terms to factor common factors 35 Factorise 2x + 4y + 3x + 6y. a 2(x + y) + 3(x + y) b (2x + 4y) + (3x + 6y) c (2x + 3x) + (4y + 6y) 36 What is the common factor in 10a + 15b? a 10 b 5 c 15 37 Factorise 6x^2 + 9x. a (6x^2 + 9x) b 3(2x^2 + 3x) c 3x(2x + 3) 38 Which method is used to factorise by grouping? a Adding all terms b Subtracting terms c Rearranging and grouping terms 39 Factorise 4x + 8. a (4x + 8) b 4(x + 2) c x + 2 40 What is the main goal of factorisation? a Dividing terms b Expressing a expression as a product c Adding terms 41 What is the first step in factorising a trinomial? a Divide the coefficients b Add all the terms together c Find two numbers that multiply to the constant and add to the middle coefficient 42 Which of these is a common form of a trinomial? a ax + b b a + b + c c ax^2 + bx + c 43 When factorising x^2 + 5x + 6, what are the factors? a (x + 2)(x + 3) b (x + 1)(x + 6) c (x + 4)(x + 1) 44 What is a key feature of more difficult trinomials? a They may require grouping or special formulas b They are always easy to factor c They only have one factor 45 Which method can be used for complex trinomials? a Dividing the coefficients b Splitting the middle term c Adding all terms 46 What is the purpose of factorising a trinomial? a To change its degree b To simplify expressions or solve equations c To make the polynomial larger 47 Which of these is NOT a typical step in factorising? a Finding two numbers that multiply to ac b Expressing as a product of binomials c Adding all coefficients 48 What is the factorised form of x^2 - 9? a (x - 3)(x + 3) b (x - 9)(x + 1) c (x + 3)^2 49 Which of these is an example of a more difficult trinomial? a 2x^2 + 5x + 3 b x^2 + 4x + 4 c x^3 + 3x^2 + 3x + 1 50 What is the main goal when factorising a trinomial? a Express it as a product of simpler polynomials b Add all terms together c Divide the coefficients

Simple Algebra ( Form 3, Mathematics)

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Simple Algebra ( Form 3, Mathematics)Online version

by YAKILI LMS

What are like terms in algebra?

What are unlike terms?

Simplify: 3x + 5x.

What is an index in mathematics?

Evaluate: 2^3.

What does 5^0 equal?

Which of these is an example of a like term?

Simplify: x^2 * x^3.

What is the value of 10^1?

If 2^x = 8, what is x?

What is the first step in expanding (a + b)?

What is the result of expanding 3(x + 2)?

When substituting x=2 in 2x + 5, what is the value?

What does expanding brackets mean?

How do you expand (x + 3)(x + 4)?

What is the expanded form of 5(a - 2)?

If x=3, what is the value of 2(x + 4)?

What is the key concept in substitution?

What is the expanded form of (2x + 3)(x + 1)?

When expanding (a + b)^2, what is the result?

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

How do you multiply two brackets with fractions, like (1/2 + x) and (x + 3/4)?

What is the product of (x/3 + 2) and (x/3 + 4)?

When multiplying (a + 1/2) and (a + 3/4), what is the middle term?

What is the result of multiplying (x + 1/3) and (x + 2/3)?

How do you expand (x + 2/5)(x + 3/5)?

What is the product of (3/4 + x) and (x + 1/2)?

When multiplying (x + 1/3) and (x + 2/3), what is the coefficient of x?

What is the product of (x/2 + 1) and (x/2 + 2)?

How do you multiply fractions in brackets, like (2/3 + x) and (x + 4/5)?

What is the first step in factorising 12x + 18?

Which number is a common factor of 8 and 12?

Factorise 3x + 6.

What is factorisation by grouping?

Factorise 2x + 4y + 3x + 6y.

What is the common factor in 10a + 15b?

Factorise 6x^2 + 9x.

Which method is used to factorise by grouping?

Factorise 4x + 8.

What is the main goal of factorisation?

What is the first step in factorising a trinomial?

Which of these is a common form of a trinomial?

When factorising x^2 + 5x + 6, what are the factors?

What is a key feature of more difficult trinomials?

Which method can be used for complex trinomials?

What is the purpose of factorising a trinomial?

Which of these is NOT a typical step in factorising?

What is the factorised form of x^2 - 9?

Which of these is an example of a more difficult trinomial?

What is the main goal when factorising a trinomial?