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Practice - Algebra Expressions and Equations - 05

Welcome KS3 students! Ready for a thrilling adventure through the fortress of numbers called Algebra? We will be brushing up on Algebraic expressions and equations in this quiz. Do remember, Algebra is like a puzzle with numbers, symbols, and letters that hold the magic key to unlock answers. So, strap up your number boots and let's get started!
1.
Solve the equation: 4f + 2 = 14
2
3
5
8
Subtract 2 from both sides of the equation to get: 4f = 12. Divide by 4 to isolate f. You get f = 3.
2.
What is m in the equation 2m ÷ 3 = 6?
9
10
8
6
Multiply both sides by 3 to cancel out the division by 3, giving 2m = 18. Dividing both sides by 2, we get m = 9.
3.
What simplification can be made to 5y + 4y?
20y
9y
5y2
9y2
5y + 4y is essentially 5 + 4, times 'y'. So, the answer simplifies to 9y.
4.
What is the solution to the equation 3x - 5 = 10?
15
5
3
7
To solve for 'x', start by adding 5 to both sides of the equation. Now you have 3x = 15. Divide both sides by 3 to get x = 5.
5.
If y ÷ 5 + 1 = 4, solve for y.
15
20
25
30
Subtract 1 from both sides to get y ÷ 5 = 3. Multiply both sides by 5 to solve for y, so y = 15.
6.
What is the value of 'b' in the equation 3b + 1 = 7?
2
3
6
1
First subtract 1 from both sides, giving you 3b = 6. Divide both sides by 3 to find b, which gives b = 2.
7.
If we have 2 apples and add 3 more apples, which of the following algebraic representations depict this situation correctly?
2a + 5
2a + 3a
5a
3a + 2
Here, 'a' stands for 'apples', so the algebraic expression '2a + 3a' translates to 2 apples plus 3 apples.
8.
Find out v from the equation 2(3v - 7) = 10
5
4
3
2
First distribute the 2 inside the parenthesis giving: 6v - 14 = 10. Then add 14 to both sides and subsequently divide by 6 to solve for v, which gives v = 4.
9.
Simplify the term 3a + 9a - 5
12a
12a - 5
15a
15a - 5
3a and 9a can be combined because they have the same variable. Their sum is 12a. Therefore, the simplified term will be 12a - 5.
10.
Calculate p if p7 - 14 = 28
8
9
6
5
Add 14 to both sides to get p7 = 42. Divide both sides by 7 and we get p = 6.
Author:  Graeme Haw

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