Are you ready to test your knowledge of Algebra? We've cooked up a fun quiz just for you! You will encounter expressions and equations, and see how well you can simplify and solve them. Remember, maths is just like solving puzzles – you just need to find the right pieces. So, take a deep breath, trust your abilities, and let's dive in!

1.

What is the simplified expression of x^{2} + 3x + 2x + 4?

x^{2} + 5x + 4

x^{2} + 2x + 6

x^{2} + 6x + 4

5x + 8

2.

Which of the following is the correct simplification of 3x + 2x?

6x

5x

x^{2} + 5

10x

We simply add the coefficients of the like terms 3 and 2 together to get 5. Hence, 3x + 2x is simplified to 5x.

3.

What is the solution to 2x - 5 = 9?

8

7

6

5

Adding 5 to both sides gives us 2x = 14, then dividing by 2 gives x = 7.

4.

If we have the equation, 4(x - 3) = 20, what is the value of x?

8

5

7

10

First, divide both sides by 4, we'll get x - 3 = 5, then add 3 to both sides, which will result in x = 8.

5.

What is the simplified form of y + y + y

3y

yy + y

y + 3

y^{2}

The algebraic expression y added together three times is simplified as 3y.

6.

Solve for x: 6x = 4

x = 3

x = 2.5

x = ^{2}⁄_{3}

x = 1.66

To solve for x, divide both sides of the equation by 6. This gives us x = ^{2}⁄_{3}.

7.

How many terms does the following algebraic expression have: 2x^{3} - 3x^{2} + x + 1?

Two

Three

Four

Five

Every single element separated by a + or - symbol is considered a term. Here, we have 4 terms: 2x^{3}, 3x^{2}, x, and 1.

8.

Which of the following expressions is equivalent to 5(y - 2)?

5y - 10

5y - 2

5y + 2

3y - 10

You must multiply both y and -2 by 5, which will result in 5y - 10.

9.

What is x if 3x = 12?

x = 3

x = 6

x = 4

x = 9

You can solve this by dividing both sides of the equation by 3, which leaves x = 4.

10.

What is the coefficient of x in the equation 4x + 3 = 7?

7

4

3

x

In the term '4x', 4 is the coefficient because it is the number that multiplies the variable x.

^{2}+ 5x + 4.