Writing 2-Step Equations

Write the verbal sentence as an equation:

Fourteen minus the product of 3 and a number is 26.

• 14 - 3n = 26

• 3n - 14 = 26

• $14\ -\ \frac{3}{n}=26$

• $14\ -\frac{n}{3}=26$

Write the verbal sentence as an equation:

Negative seven minus the product of 5 and a number is 28.

• -7 - (5+n) = 28

• 5n - (-7) = 28

• $-7\ -\frac{5}{n}=28$

• -7 - 5n = 28

Write the verbal sentence as an equation:

Eleven minus the quotient of a number and 8 is 15.

• $11-\frac{8}{n}=15$

• $11-\frac{n}{8}=15$

• 11 - (8+n) = 15

• $\frac{n}{8}-11\ =\ 15$

Write the verbal sentence as an equation:

35 is negative sixteen plus the product of a number and 2.

• $35\ =\ -16\ +\ \frac{n}{2}$

• 35 = -16 + (n - 2)

• $35\ =\ -16\ +\ \frac{2}{n}$

• 35 = -16 + 2n

Write the verbal sentence as an equation:

Twice the sum of 12 and a number is negative nine.

• 2(12 - n) = -9

• 2 • 12 + n = -9

• 2(12 + n) = -9

• 2(n + -9) = 12

Write the verbal sentence as an equation:

The difference of seven times a number and 15 is 41.

• 7 - n • 15 = 41

• (7 - n) • 15 = 41

• 7n + 15 = 41

• 7n - 15 = 41