Solving Equations

The perimeter of a regular 6-sided figure is 54 units, and the length of each side is x + 3 units.

What is the value of x?

• 6

• 9

• 10

• 3

Mike purchases a cell phone plan, which includes a cell phone and cell phone service.  He makes a deposit of $200 for the cell phone and then pays $50 per month for the cell phone service.

Which of the following equations correctly models the total amount of money, y, in dollars, Mike spends on the cell phone and plan after x months?

• y = 200x + 50

• y = 50x - 200

• y = 50x + 200

• y = 200x - 50

Use your answer from the last Question:

How much money does Mike spend per year (12 months) for cell phone service?

• 500

• 200

• 250

• 800

Mr. G buys b burritos at Kroger for d dollars each. Mr. G spends a total of t dollars on burritos. 

Create an equation that represents the relationship between t and d. 

• b = t d

• d = t b

• t = b d

• t = Total

  d = Cost

  b = Burritos

Gary goes to the bakery with $50.  They purchase 3 loaves of bread for $4 each and a cake for $16.  She plans to spend the remainder of her money on cookies that cost $2.20 each.

What is the greatest number of cookies that Mary can buy? 

• 50

• 10

• 5

• 25

What expressions are Equivalent (the same) to

-2( 8 - 6x ) + (10x - 4)

HInt: There is more than 1 answer.

• 4x - 20

• 22x - 20

• -16 + 22x - 4

• -16 - 22x - 4

• -16 + 12x + 10x - 4

Chris wrote an equation and the first step of his solution process, as shown.

24=12−6x 

12 =−6x

Which math operation did Chris apply in his first step?

• He divided 24 by 2.

• He added 12 to each side of the equation.

• He divided each side of the equation by 2.

• He subtracted 12 from each side of the equation.

Create an expression equivalent to 4(2x−1)−3x+5 using the least number of terms.

• 5x + 4

• 8x - 4 - 3x + 5

• 8x - 1 - 3x + 5

• 5x + 1

One orange costs $1.25 at the grocery store.  Customers receive one free orange for 5 of every orange that they buy.  Allison paid a total of $12.50 for her oranges.

 

How many free oranges did Allison receive?

• 0 oranges

• 1 orange

• 3 oranges

• 2 oranges

A bowling alley charges x dollars per guest and a fixed $40 rental fee for parties.

 

Which equation represents the total cost, y, for 5 guests?

• y = 5x + 40

• y = 5x + 35

• y = 5x

• y = 40x + 5