Question (1): Assume that the number is x We want to get: <span>four times the sum of x and 3 This means that we would add x and 3 first and then multiply the result by 4. The algebraic expression would be as follows: 4(x+3)
Question (2): Assume that the number is x. We want to get: </span><span>7 less than fifteen times x This means that we would multiply the x by 15 and then subtract 7 from the product. The algebraic expression would be as follows: 15x - 7
Question (3): Assume that the number is x. We want to get: </span><span>the difference of nine times x and the quotient of 6 and x This means that: i- We would first multiply 9 by the number x ii- Then we would divide 6 by x iii- Finally we will subtract the quotient (step ii) from the product (step i) </span>The algebraic expression would be as follows: (9x) - (6/x)
Question (4): Assume that the number is x. We want to get: <span>the sum of 100 and four times a number This meas that we would first multiply 4 by x and then add 100 to the product. The algebraic expression would be as follows: 4x + 100
Question (5): Assume that the number is x. We want to get: </span><span>the product of 3 and the sum of 11 and x This means that we would first add 11 to the number x and then multiply the result by 3 The algebraic expression would be as follows: 3(11+x)
Question (6): Assume that the number is x. We want to get: </span><span>four times the square of x increased by five times x This means that: i- We would square the x first ii- multiply the result from step i by 4 iii- multiply 5 by x iv- add the result from step ii to the result from step iii The algebraic expression would be as follows: 4x^2 + 5x
Question (7): Assume that the number is x. We want to get: </span><span>23 more than the product of 7 and x This means that we would multiply x by 7 and then add 23 to the product The algebraic expression would be as follows: 7x+23
Yesterday, Jake laid down 2/3 yards of duct tape on his tile floor. His friends wanted the line to be longer. Jake laid down 2/3 yards more duct tape. How long is the line of duct tape now?