Interpreting Algebraic Equations

Nine times a number y subtracted from 85 is seven times the sum of four and y

• 85 - 9y= 7(4+y)

• 85 - 9y = 4(7+y)

Paulina has completed 24 of the 42 math problems she was assigned for homework. She plans to finish her homework by completing 9 math problems each hour h. Write an equation to find the number of hours it will take Paulina to complete her math homework assignment.

Seven less than the sum of p and t is as much as 6.

Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.

Four times the sum of f and g is identical to six times g.

• 4(f+g)= 6+g

• 4(f+g)=6g

The product of five and the sum of a number x and three is twelve

• 5(x+3)=12

The density of an object is the quotient of its mass and its volume.

The surface area of a rectangular prism is 2 times the sum of the width, w, times height, h, and length, l, times width and length times height.

The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.

• P=a+b+c

• P= abc

• P= a(b+c)