Algebraic Sentences

Which algebraic sentence represents the following: "a number increased by two is greater than four."

Which algebraic sentence represents the following: "Twelve minus a number is less than two."

a number increased by five

• w - 5

• 5w

• w + 5

• w > 5

Answer explanation

increase means addition

Translate:

Two times the sum of a number and five

• 2 + x + 5

• 2x + 5

• 2(x + 5)

• 2 - x + 5

Answer explanation

don't forget to start parentheses when you see the word sum

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

​ (a)  

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

Match the following

• 2 - 10n

• Two decreased by

  the product of 10 and a number

• c + (10/2)

• Half the sum of a

  number and ten

  decreased by two.

• 1/2 ( x + 10) - 2

• Half of a number

  increased by 10

• 1/2p +10

• The product of 10

  and a number

  increased by 2

• 10x + 2

• The quotient of ten

  and two more than a number

The table shows Sandra's weekly earnings, y , based on the number of hours she works. Which equation can Sandra use to calculate her weekly earnings when she works x hours?

• y = 8x

• y = 5x + 40

• y = 10x

• y = 10x + 80

The equation for the table below is y=2x+5, fill in the missing values.

c

d

e

f

3

7

4

-1

9

0

Choose the algebraic expression that matches the verbal phrase.

• A) x + y

• B) x - y

• C) x * y

• D) x / y

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