Real World Algebraic Problems

Brian bought x apples and some oranges. Brian bought 3 more oranges than apples. Find the total number of fruit Brian bought in terms of x.

• x + 3

• 3x

• 2x + 3

• none of those

Brian bought x apples and some oranges. Brian bought 3 more oranges than apples. Find the total amount of money, in cents, that Brian spent on the fruit. Give your answer in terms of x.

• $2.30

• 90x + 150

• 9x + 1.5

• none of those

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

• 15x + 25

• $0.20

• none of those

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. Find the length of the rectangle.

• none of those

• 3x centimeters

• 6x centimeters

• 2x centimeters

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. Find the perimeter of the square.

• none of those

• 3x centimeters

• 2x centimeters

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

• none of those

• 10 centimeters

• 30 centimeters

• 22 centimeters

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

• none of those

• 39 centimeters

• 29 centimeters

• 49 centimeters

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 the cost of the 2 nonfiction books in terms of y.

• none of those

• 14y + 6 dollars

• (3 + 9y) dollars

• (18y + 6) dollars

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

• $86

• $110

• $160

• none of those

Wyatt has (2x-1) one-dollar bills and (4x+2) five-dollar bills. Susan has 3x dollars more than Wyatt. Find the total amount of money that Wyatt has in terms of x.

• (12x + 9) dollars

• (22x + 9) dollars

• (6x + 1) dollars

• none of those