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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.
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.
2.
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.
3.
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.
4.
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.
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 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.
7.
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.
8.
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.
9.
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.
10.
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.
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