Understanding linear equations in one variable

Translate: Twenty-five less than twice a number is negative one.

• 2x-25 = -1

• 25 - 2x = -1

The product of 12 and a number is the same as 2 removed from a number

• 12x=x+2
• 12x=2-x
• 12-2=x-2
• 12x= x-2

Jon ate 3 more hotdogs than Kalia.  Amarion at twice as many as Kalia.  They ate 27 hotdogs all together.
Which represents the number of hotdogs Kalia ate?

• x
• x + 3
• 2x
• 2x + 3

Half the difference of five time a number and eight is equivalent to nineteen.

• 5x + 8 = 19

• 5x - 8 = 19

• (1/2)(5x - 8) = 19

• (1/2)(5x + 8) = 19

Translate the given word problem into an algebraic equation: The quotient of a number and 3 decreased by 2 is equal to 7. Find the number.

• x = 27

• x = 15

• x = 10

• x = 5

Which matches the equation below?

9 + 4x = 2

• Four more than the product of a number and two is nine.

• The sum of four times a number and nine is two.

• The difference of nine and four times a number equals two.

Write the sentences as an equation:

(Use +, -, *, / to show operations)

78 is equal to t divided by 4

One less than the product of a number and 3 is 5 more than the number itself.

• 3x-1 = x+5

• 1-3x+5

• 1-3x = 5+x

• 3x-1 = 5+x

Translate the sentence into an equation:
Four more than six times a number is 18.

• 4 + 6x = 18
• 4x + 6 = 18
• 6x + 4 = 18
• not enough info

Write the correct mathematical equation for the statement:

2 more than a certain number is 120.

• 120 - x = 2

• x + 2 = 120

• x + 120 = 2

• 2x = 120