Final answer:
a) 5 times the difference of x and 7, negated. b) Half of the difference of x and 7. c) 7 minus 5 times x. d) 7 plus half of x.
Step-by-step explanation:
a) The word phrase for -5(x-7) is 5 times the difference of x and 7, negated. This can be understood as taking the product of -5 and the expression (x-7), which represents the difference of x and 7. The negation sign indicates that the result is the opposite of the product.
b) The word phrase for 1/2(x-7) is Half of the difference of x and 7. This can be understood as taking half of the expression (x-7), which represents the difference of x and 7.
c) The word phrase for 7 minus 5x is 7 minus 5 times x. This can be understood as subtracting the product of 5 and x from 7.
d) The word phrase for 7 plus half of x is 7 plus half of x. This can be understood as adding half of x to 7.