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Practice - Algebra Expressions and Equations - 01

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.
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.
2.
Which of the following is the correct simplification of 3x + 2x?
6x
5x
x2 + 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.
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.
4.
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.
5.
What is the simplified form of y + y + y
3y
yy + y
y + 3
y2
The algebraic expression y added together three times is simplified as 3y.
6.
How many terms does the following algebraic expression have: 2x3 - 3x2 + x + 1?
Two
Three
Four
Five
Every single element separated by a + or - symbol is considered a term. Here, we have 4 terms: 2x3, 3x2, x, and 1.
7.
Solve for x: 6x = 4
x = 3
x = 2.5
x = 23
x = 1.66
To solve for x, divide both sides of the equation by 6. This gives us x = 23.
8.
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.
9.
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.
10.
What is the simplified expression of x2 + 3x + 2x + 4?
x2 + 5x + 4
x2 + 2x + 6
x2 + 6x + 4
5x + 8
You can combine like terms. In this case, 3x and 2x can be combined to get 5x resulting in the simplified expression x2 + 5x + 4.
Author:  Graeme Haw

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