Final answer:
To write algebraic expressions for these sentences: 1. 2x+4 2. 3x 3. x+10 4. 4x-5 5. 0.5x 6. (1/6)x 7. 3x+1 8. x-4 9. 2(x+4) 10. 0.5x+6 11. Solve for x if Bag 4 = Bag 7.
Step-by-step explanation:
1. The algebraic expression for '1 contains four more than twice the number of candies in the teacher’s bag' is 2x+4.
2. The algebraic expression for '2 contains three times the number of candies in the teacher’s bag' is 3x.
3. The algebraic expression for '3 contains 10 more candies than the teacher’s bag' is x+10.
4. The algebraic expression for '4 has 5 less than 4 times the number of candies as the teacher' is 4x-5.
5. The algebraic expression for '5 has half as many candies as Bag' is 0.5x.
6. The algebraic expression for '6 has 1/6 the number of candies in Bag' is (1/6)x.
7. The algebraic expression for '7 has one more than three times the number of candies in the teacher’s bag' is 3x+1.
8. The algebraic expression for '8 contains four less candies than Bag' is x-4.
9. The algebraic expression for '9 has twice the sum of the amount of candies in the teacher’s bag and four' is 2(x+4).
10. The algebraic expression for '10 has six more than half of the candies in bag' is 0.5x+6.
11. If Bag 4 = Bag 7, then the value of x in the teacher's bag can be found by substituting the algebraic expressions for Bag 4 and Bag 7 and solving for x.