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Practice - Algebra Expressions and Equations - 10
Hey, budding mathematician! Get ready for this dazzling downfall into the world of algebra. Your mission, if you choose to accept it, is to tackle these 10 intriguing questions on algebraic expressions and equations. So, don't let those x's and y's intimidate you. Seize your pencil, power up the grey cells and conquer this Maths quiz. Good luck! Let's crunch some numbers!
1.
Simplify '3(2x - 1) + 6'.
6x - 3
6x + 3
3⁄2x - 1
12x - 3
After distributing and combining terms, '3(2x - 1) + 6' simplifies to '6x + 3'.
2.
The cost of 5kg of apples is '5y'. How much does 1kg of apples cost?
y
5y
5⁄y
y⁄5
If 5kg cost '5y', then 1kg would cost 'y'.
3.
If '7x + 4 = 25', what is the value of 'x'?
3
4⁄7
4
3
If you subtract 4 from 25 and then divide by 7, you will get the value of x, which is 3.
4.
Simplify '4(y - 5) + 2y'.
6y - 20
2y - 20
4y + 20
2y + 10
After distributing and combining terms, '4(y - 5) + 2y' simplifies to '6y - 20'.
5.
Rewrite the expression '12x + 7x' in its simplest form.
19x
7x2
5x
19
Adding the like terms, '12x + 7x' simplifies to '19x'.
6.
'2x - 3 = 17'. What is the value of 'x'?
8
10
9
11
If you add 3 to 17 and then divide by 2, you get the value of 'x', which is 10.
7.
If '3a + 2 = 11', what is the value of 'a'?
4
3
1⁄3
5
If you subtract 2 from 11 and then divide by 3, you get the value of 'a' which is 3.
8.
Rewrite '50 = 5x' in terms of 'x'.
x = 5
x = 10
x = 50
x = 55
If you divide 50 by 5, you get the value of 'x', which is 10.
9.
Simplify '(2 + 6)x - 8x'.
0
8x
8⁄x
16x
First do the brackets '(2 + 6)x' equals '8x'. The expression simplifies to '8x - 8x' which is '0'.
10.
Solve for 'x' in the equation '2(x - 4) = 6'.
3
7
2
8
First divide the equation by 2, then add 4 to get 'x', which is equal to 7.
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