Forming Expressions

Alexa is y years old. Her brother is 7 years older than her. Write an expression for her brother’s age in terms of y.

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Pens are sold in packs of 5. A teacher buys p packs. Write an expression for the total number of pens bought.

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Jenny has n sweets. She shares her sweets equally between her 3 friends. Write an expression for the number of sweets each friend gets.

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A tree measures 180cm. x centimeters are cut off. Write an expression for the new height of the tree.

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Choose the algebraic expression that matches the verbal phrase.

• A) 2x + 3

• B) x^2 - 4

• C) 5 - x

• D) 3x/2

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts. 

6( ​ (a)   x + ​ (b)   y)

​ (c)   x + ​ (d)   y

• 3

• 4

• 18

• 24

• 7

For a monthly family cookout, David buys 3 packages of hot dogs and 4 packages of hamburger patties. Hot dog packages each contain x hot dogs. Hamburger packages each contain y hamburger patties. Complete the expressions for the total number of hot dogs and hamburger patties David buys for 6 cookouts.

• 3

• 4

• 18

• 24

• 7

Buns are sold in packs of 3. Cheese slices are sold in packs of 10. Robert buys b packs of buns and c packs of cheese slices. Write an expression for the total number of buns and cheese slices she buys.

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A rectangle has a width of x centimeters. Its height is 4cm less than its width. Write an expression for the area of the rectangle.

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I think of a number multiply it by 7 and minus 8. Which expression(s), if any, represents my number now?

• A: 7x - 8

• B: 7x - 56

• C: 7(x – 8)

• D: x – 56