Write an algebraic equation for each of the following sentences.
_____________ 12) One-third of a number is thirty-five.
_____________ 14) Two times the sum of a number and five is twenty six.
_____________ 16) The quotient of a number and two increased by seven is ten.
_____________ 17) Four times the sum of a number and eight is forty.
_____________ 18) Three-fourths of a number minus six is fifty-four.
_____________ 19) Nine times the sum of twice a number and two is seventy.
17) 4x+x+8=40
12. 1/3 n = 35
17. 4(n + 8) = 40
Study how I changed your answers. Then try the other problems.
12) Let's call the number x. The equation would be (1/3)x = 35.
14) Again, let's call the number x. The equation would be 2(x + 5) = 26.
16) Let's call the number x. The equation would be (x/2) + 7 = 10.
17) Let's call the number x. The equation would be 4(x + 8) = 40.
18) Let's call the number x. The equation would be (3/4)x - 6 = 54.
19) Let's call the number x. The equation would be 9(2x + 2) = 70.