
Froggy Jumps Grade 8 Mathematics – Algebra ChallengeVersión en línea Test your Grade 8 Algebra skills! 🧮 Answer 25 multiple-choice questions covering algebraic expressions, factorization, H.C.F. & L.C.M., equations, inequalities, and sets. Challenge yourself and see how well you understand Algebra! por Melora Pierre 1 Which part of the term −7x² is the coefficient? a −7 b x c x² 2 What is the H.C.F. of 6x² and 9x? a 3x b 3x² c 6x 3 What is the L.C.M. of 4a²b and 6ab²? a 12ab b 12a²b² c 24a²b² 4 Which expression represents a linear inequality? a 3x + 2 = 8 b 3x + 2 < 8 c 3x² + 2 = 8 5 If A = {1, 2, 3}, which symbol means that 2 belongs to A? a 2 ⊂ A b 2 ∈ A c A ∈ 2 6 Which pair consists of like terms? a 3x and 3y b 4a and 4a² c 5m and −2m 7 Simplify: 4x + 3x − 2. a 7x − 2 b 7x + 2 c 7x − 2x 8 Which is the correct factorization of 6x + 12? a 6(x + 2) b 3(x + 4) c 6(x + 12) 9 Which is the correct factorization of 3a(a − 2) + 5(a − 2)? a (a − 2)(3a + 5) b (a + 2)(3a + 5) c (a − 2)(3a − 5) 10 Factorize by grouping: 2a − 4b + 3a − 6b. a 5(a − 2b) b 5(a + 2b) c a(5 − 10b) 11 Simplify: 3x/5 + x/5 a 4x/10 b 4x/5 c 3x/25 12 Which inequality is equivalent to 2x + 1 < 7? a x < 3 b x > 3 c x < 4 13 If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B? a {1, 2, 5, 6} b {3, 4} c ∅ 14 Solve: 3x + 5 = 20. a x = 3 b x = 5 c x = 15 15 Solve: 4x − 7 = 2x + 9. a x = 1 b x = 6 c x = 8 16 Solve: x/3 + 2 = 5. a x = 1 b x = 6 c x = 9 17 Solve: (x+4)/5 = (x-2)/3 a x = 6 b x = 11 c x = 10 18 Solve: 5 − 2x ≥ 1. a x ≥ 2 b x ≤ 2 c x ≥ −2 19 Which description represents the solution x ≥ −1 on a number line? a Open circle at −1, shading left b Closed circle at −1, shading left c Closed circle at −1, shading right 20 In a class, 30 learners like football, 22 like basketball, and 12 like both. How many like at least one of the two sports? a 40 b 42 c 52 21 A learner solves 2(x + 3) = 14 by writing 2x + 3 = 14. What is the error? a They multiplied only x by 2 instead of the whole bracket. b They should have divided 14 by 3 first. c They changed the sign of 3 incorrectly. 22 What is the H.C.F. of 12a²b, 18ab² and 24a³b? a 2ab b 12a²b² c 6ab 23 What is the L.C.M. of 6x² and 8x³? a 12x² b 24x² c 24x³ 24 Which expression is equivalent to (x² − 9)/(x + 3), for x ≠ −3? a x + 3 b x − 3 c 1 25 A survey of 40 learners shows that 22 like mathematics, 18 like science, and 10 like both. How many like neither subject? a 8 b 10 c 12

Froggy Jumps

Grade 8 Mathematics – Algebra ChallengeVersión en línea

Test your Grade 8 Algebra skills! 🧮 Answer 25 multiple-choice questions covering algebraic expressions, factorization, H.C.F. & L.C.M., equations, inequalities, and sets. Challenge yourself and see how well you understand Algebra!

por Melora Pierre

Which part of the term −7x² is the coefficient?

−7

x²

What is the H.C.F. of 6x² and 9x?

3x²

What is the L.C.M. of 4a²b and 6ab²?

12ab

12a²b²

24a²b²

Which expression represents a linear inequality?

3x + 2 = 8

3x + 2 < 8

3x² + 2 = 8

If A = {1, 2, 3}, which symbol means that 2 belongs to A?

2 ⊂ A

2 ∈ A

A ∈ 2

Which pair consists of like terms?

3x and 3y

4a and 4a²

5m and −2m

Simplify: 4x + 3x − 2.

7x − 2

7x + 2

7x − 2x

Which is the correct factorization of 6x + 12?

6(x + 2)

3(x + 4)

6(x + 12)

Which is the correct factorization of 3a(a − 2) + 5(a − 2)?

(a − 2)(3a + 5)

(a + 2)(3a + 5)

(a − 2)(3a − 5)

Factorize by grouping: 2a − 4b + 3a − 6b.

5(a − 2b)

5(a + 2b)

a(5 − 10b)

Simplify: 3x/5 + x/5

4x/10

4x/5

3x/25

Which inequality is equivalent to 2x + 1 < 7?

x < 3

x > 3

x < 4

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B?

{1, 2, 5, 6}

{3, 4}

∅

Solve: 3x + 5 = 20.

x = 3

x = 5

x = 15

Solve: 4x − 7 = 2x + 9.

x = 1

x = 6

x = 8

Solve: x/3 + 2 = 5.

x = 1

x = 6

x = 9

Solve: (x+4)/5 = (x-2)/3

x = 6

x = 11

x = 10

Solve: 5 − 2x ≥ 1.

x ≥ 2

x ≤ 2

x ≥ −2

Which description represents the solution x ≥ −1 on a number line?

Open circle at −1, shading left

Closed circle at −1, shading left

Closed circle at −1, shading right

In a class, 30 learners like football, 22 like basketball, and 12 like both. How many like at least one of the two sports?

A learner solves 2(x + 3) = 14 by writing 2x + 3 = 14. What is the error?

They multiplied only x by 2 instead of the whole bracket.

They should have divided 14 by 3 first.

They changed the sign of 3 incorrectly.

What is the H.C.F. of 12a²b, 18ab² and 24a³b?

2ab

12a²b²

6ab

What is the L.C.M. of 6x² and 8x³?

12x²

24x²

24x³

Which expression is equivalent to (x² − 9)/(x + 3), for x ≠ −3?

x + 3

x − 3

Froggy Jumps

Grade 8 Mathematics – Algebra ChallengeVersión en línea

por Melora Pierre

Which part of the term −7x² is the coefficient?

What is the H.C.F. of 6x² and 9x?

What is the L.C.M. of 4a²b and 6ab²?

Which expression represents a linear inequality?

If A = {1, 2, 3}, which symbol means that 2 belongs to A?

Which pair consists of like terms?

Simplify: 4x + 3x − 2.

Which is the correct factorization of 6x + 12?

Which is the correct factorization of 3a(a − 2) + 5(a − 2)?

Factorize by grouping: 2a − 4b + 3a − 6b.

Simplify: 3x/5 + x/5

Which inequality is equivalent to 2x + 1 < 7?

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∩ B?

Solve: 3x + 5 = 20.

Solve: 4x − 7 = 2x + 9.

Solve: x/3 + 2 = 5.

Solve: (x+4)/5 = (x-2)/3

Solve: 5 − 2x ≥ 1.

Which description represents the solution x ≥ −1 on a number line?

In a class, 30 learners like football, 22 like basketball, and 12 like both. How many like at least one of the two sports?

A learner solves 2(x + 3) = 14 by writing 2x + 3 = 14. What is the error?

What is the H.C.F. of 12a²b, 18ab² and 24a³b?

What is the L.C.M. of 6x² and 8x³?

Which expression is equivalent to (x² − 9)/(x + 3), for x ≠ −3?

A survey of 40 learners shows that 22 like mathematics, 18 like science, and 10 like both. How many like neither subject?