Algebraic Equation Word Problems

WRITE AN EQUATION For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip? Solve the equation on your paper.

• 4x=472
• 9x=472
• 4+9x=472
• 4+x=472

WRITE AN EQUATION You bought a magazine for $5 and four erasers. You spent a total of $29. How much did each eraser cost? Solve the equation on your piece of paper.

• 5 + x = 29
• 5 + 4x = 29

• 5x = 29
• 29 - 5 = -4x

After paying $5.12 for a salad, Norachai has $27.10. How much money did he have before buying the salad? Solve the equation on your paper.

• n + $5.12 = $27.10
• n - $5.12 = $27.10
• n - $5.12 = -$27.10
• $5.12 - n = $27.10

Todd caught three times as many fish this year than last year. He caught 63 fish by the end of the year. Which algebraic equation represents how many fish he caught last year? Solve the equation on your paper.

• 3f = 63
• 63 - 3 = f
• 63/3 = f
• 3 + f = 63

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours. Solve the equation on your paper.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation. Solve the equation on your paper.

• y = 20x + 5
• y = 5x +20
• 20= 5x

Using the equation 8.90 = 1.90 + 1.40t Find out how many toppings Dexter got if the hamburger costs $1.90. Show your work in solving on your paper.

• 3
• 4
• 5
• 6

Ty weighed 230 pounds. He went on a diet and his weight was decreased by 18 pounds. After that, he started exercising. Within six months, his weight decreased by another 3/2 pounds. How much does he weigh now (round to the nearest whole number)? Write the equation and solve on your paper.

• 141

• 318

• 165

• 194

Sarah was given 73 dollars for Christmas. She went to the mall and bought a shirt, a jacket, and a purse. She had 24 dollars left over, how much did she spend on clothes and accessories ? Write and solve the equation on your paper.

• $54

• $49

• $97

• $44

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase? Write the equation on your paper and use the algebraic steps to solve.

• 4 boxes
• 5 boxes
• 6 boxes
• 7 boxes