Solving Word Problems Linear Equations

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  How many nickels and dimes did Dennis earn? 

• 40 nickels, 40 dimes

• 52 nickels, 28 dimes

• 28 nickels, 52 dimes

• 30 nickels, 50 dimes

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

• a = 7
  b = 10

• a = 8
  b = 5

• a = 10
  b = 13

Which equation models the situation below? The sum of a number and 5 is multiplied by -3 and the answer is -24. Find the number.

The sum of a number and 5 is multiplied by -3 and the answer is -24. Find the number.

• 13

• -13

• 3

• -3

Which equation models the situation below? The difference of a number and 3 is multiplied by -2 and the answer is -10. Find the number.

The difference of a number and 3 is multiplied by -2 and the answer is -10. Find the number.

• 8

• -8

• 2

• -2

Which equation models the problem given? Oberon Cell Phone Company advertises service for $0.03 per minute plus a monthly fee of $29.95. If Luke’s phone bill for October was $38.95, find the number of minutes he used.

Oberon Cell Phone Company advertises service for $0.03 per minute plus a monthly fee of $29.95. If Luke’s phone bill for October was $38.95, find the number of minutes he used.

• 30 minutes

• 300 minutes

• 9 minutes

• 90 minutes

Ricky was shopping at a used book sale where all books were selling at the same price. He bought six science fiction books and eight mysteries. He also decided to buy a poster for $2.40. In total, Ricky spent $8.70. What was the price of a single book?

Which equation models the situation given? Savannah opens a savings account with $145. She saves $165 per month. After how many months will she save $2290?