Equations from Words

Ten is six decreased by twice a number

• 10 = 2x - 6

• 10 = 6 < 2x

• 10 = 6 - x

• 10 = 6 - 2x

If ChipCo sold their bags of corn chips for $5 per bag plus $1 for bagging it and it costs the same as $4 per bag of CrunchyChips corn chips plus their price of $2 for bagging it, what would the equation be and how many bags of chips would make them cost the same?

• 5 + 1x = 2x + 4; 1 bag of chips

• 9x = 3; 3 bags of chips

• 5x + 1 = 4x + 2; 1 bag of chips

• 5x = 6x; -1 bag of chips

Nine times the sum of a number and three is 36

• 9 ( 3x ) =36

• 9 ( x + 3 ) =36

• 9 ( x - 3 ) =36

• 9x (3) =36

Translate the sentence into an equation:

Four more than six times a number is 18.

• 4x + 6 = 18

• 4x + 6 = 18

• 6x + 4 = 18

Translate:

Three times the sum of a number and 7 is equivalent to 57.

• 3x + 7 = 57

• 3(x + 7) = 57

• 7x + 3 = 57

• 7(x + 3) = 57

Translate:

One - third of the sum of a number and 24 is equivalent to 10.

• 1⁄3(x + 24) = 10

• 1⁄3x + 24 = 10

• 1⁄3(x - 24) = 10

Translate:

Twice the difference of a number and 16 is equivalent to 28.

• 2x + 16 = 28

• 2x - 16 = 28

• 2(x + 16) = 28

• 2(x - 16) = 28

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Which equation matches the following scenario: If one roll of masking tape costs $1.15, how many rolls can Emma buy with $5.75?

Choose the equation that represents this sentence: 2 times a number x added to 5 is 18.

• 2x + 5 = 18

• 2x + 18 = 5

• 7x = 18