Test Writing and Solving Equations from Word Problems

Which equation ix represented by the balance scale?

• x - 1 = x + 5
• 3x = 5x
• 2x - 1 = x + 5
• 2x - 1 = 5

If 37 less than the product of 15 and a number is 38, which of the below items is true? Write an equation to find the solution.

• The solution is -5.
• The solution is 60.
• The equation is
  37 - 15x = 38
• The equation is
  15x - 37 = 38

For a field trip 7 students rode in cars and the rest filled four buses.  How many students were in each bus if 203 students were on the trip? Write an equation to find the solution.

• 56
• 50.75
• 49
• 43

What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98.  How much change did he receive if he gives the cashier $40.

• 40 + c = 39.98
• 30.98 + c = 40
• c - 40 = 39.98
• c - 39.98 = 40

Mrs. Schmidt's family bought lunch from Culvers.  They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mrs. Schmidt bought. Write the equation and solve for x.

• -5+6x = 41, 4 meals
• 6x + 5 = 41, 6 meals
• 6x = 36 meals
• 5 + 6x = 41, 7 meals

Mei was going to sell all of her stamp collection to buy a video game.  After selling half of them she changed her mind.  She then bought nineteen more.  How many did she start with if she now has 45?

• 2/x + 19 = 90
• x/2 + 19 = 52
• 2x +19 = 109
• 19x + 2 = 71

Pranav and his best friend found some money buried in a field.  They split the money evenly, each getting $26.  How much money did they find? Write and equation to find the solution.

• 0.5x = 26,  $52 
• 26/2 = 52, $13
• 26(1/4)= 52,  $64
• x/2 = 26, $58

Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.

• y = 50 - 90x
• y = 90x + 50
• y = -50x + 90
• y = -90 - 50x

Which equation shows the number of bottles left after x days?
A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5
• y = -5 + 48x
• y = -5x - 48
• y = 48 - 5x

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

• y = 6.50x - 0.75
• y = 6.50x + 0.75
• y = 6.50x - 1.50 - 0.75
• y = 5x - 0.75