Word Problems: Sentences and Two Step Equations

The difference of a number and 10 is 4.

• x - 4 = 10

• 4 - x = 10

• x + 4 = 10

• 10 - 4 = x

Half of a number increased by 8 is -10.

• 2/x + 8 = -10

• x/2 + 8 = -10

• 8/2 + x = 10

• 10/2 + 8 = x

The sum of 5 times a number and 6 is 20.

• 20 + 5x = 6

• 5 + 6 = 20

• 6x + 5 = 20

• 5x + 6 = 20

3 times a number decreased by 1 is 13.

• 3x + 1 = 13

• 3x - 1 = 13

• 3 + 1x = 13

• x + 13 = 3

The quotient of a number and 10 is equal to 30

• 30/10=x

• x/30=10

• 10/x = 30

• x/10 = 30

10 + 4x = 20

• 10 decreased by 4 times a number is 20

• 10 increased by 4 times a number is 20

• The sum of a number and 10 is 20

• The sum of 10 and 4 is 20

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

 A computer printer can print 10 pages per minute. There were already 35 pages in the tray.  The total pages printed was 115 pages. How many minutes has the printer been running?

• 8
• 9
• 7
• 10

Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?

• 2.5 hours
• 4.5 hours
• 7.5 hours
• 10.5 hours

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