Algebraic Expressions Questions

1.

Multiple Choice

5 mins

1 pt

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

2.

Multiple Choice

5 mins

1 pt

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

3.

Multiple Choice

1 min

1 pt

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

4.

Multiple Choice

3 mins

1 pt

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

5.

Multiple Choice

5 mins

1 pt

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

6.

Multiple Choice

5 mins

1 pt

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

7.

Multiple Choice

3 mins

1 pt

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

8.

Multiple Choice

3 mins

1 pt

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

9.

Multiple Choice

3 mins

1 pt

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.

10.

Open Ended

15 mins

1 pt

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.

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