Algebraic Expressions Questions

A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled.

a) How many gallons of gas does the van use if it travels 3x miles?

• 8

• 48x

• 8x

A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled.

b) The van uses 2y gallons of gas for its journey from Town A to Town B. Find the distance between Town A and Town B.

• 12y

• 48y

• 2y

Brian bought x apples and some oranges. Brian bought 3 more oranges than apples.

a) Find the total number of fruit Brian bought in terms of x.

• 2x + 3

• 5+x

• 3-x

• x-3

Brian bought x apples and some oranges. Brian bought 3 more oranges than apples. Apples cost 40¢ and oranges 50¢

b) Find the total amount of money, in cents, that Brian spent on the fruit. Give your answer in terms of x.

• 150 + x

• 40x + 50x

• 90 - x

• 90x + 150

Brian bought x apples and some oranges. Brian bought 3 more oranges than apples.

c) If Brian could have bought exactly 12 pears with the amount of money that was spent on the apples and oranges, find the cost of each pear, in cents, in terms of x.

• 90x - 150 - 12

A rectangle has a width of x centimeters and a perimeter of 8x centimeters. A square has sides of length 1/4 that of the length of the rectangle.

a) Find the length of the rectangle.

• 9x cm

• 2x cm

• 3x cm

• 4x cm

A rectangle has a width of x centimeters and a perimeter of 8x centimeters. A square has sides of length 1/4 that of the length of the rectangle.

b) Find the perimeter of the square.

• 9x cm

• 2x cm

• 3x cm

• 4x cm

A rectangle has a width of x centimeters and a perimeter of 8x centimeters. A square has sides of length 1/4 that of the length of the rectangle.

c) Find how many centimeters greater the rectangle’s perimeter is than the square’s perimeter if x = 4.

• 20 cm

• 30 cm

• 40 cm

• 50 cm

A rectangle has a width of x centimeters and a perimeter of 8x centimeters. A square has sides of length 1/4 that of the length of the rectangle.

d) Find how many square centimeters greater the rectangle’s area is than the square’s area if x = 4.

José bought 4 comic books and 2 nonfiction books. The 4 comic books cost him 8y dollars. If the cost of one nonfiction book is (3+7y) dollars more expensive than the cost of one comic book, find:

a) The cost of 2 nonfiction books in terms of y.

b) The total amount that José spent on the books if y=4.