Algebraic Equations - Word Problems

Write an algebraic equations to represent the situation. Define your variable. There were 32 students in Jaden’s class eating lunch. Then, more students joined Jaden’s class. Now there are 86 total students eating lunch. How many students joined Jaden’s class?

Write an algebraic equation to represent the situation.

There are two first grade classes at a school. There are 16 students in one class. There are 28 total students in first grade. How many students are in the other class?

Write an algebraic equation for the following situation.

Nancy had 37 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 63 peaches at the stand, how many did she pick ?

Write an algebraic equation for the following situation.

Joan found 51 seashells on the beach, she gave Alyssa some of them. She has 45 seashells left. How many seashells did she give to Alyssa ?

Write an algebraic equation for the following situation After paying $5.12 for a salad, Nora has $27.10. How much money did he have before buying the salad?

A group of 3 friends each have video games at their home.  Then each friend buys 5 more video games.  Now the three friends have a total of 30 video games.  How many video games did each friend start with?

• 3(x+5) = 30

• x(3+5) = 30

• 5(x+3) = 30

• 30(3+5) = x

You bought a magazine for $8 and 6 erasers.  If you spent a total of $11, then how much did each eraser cost?

• $3.00

• $2.00

• $.50

• $.625

You want to buy a new pair of shoes that costs $95.00.  You have already saved up $27.00 and you plan to save $4 per week.  How many weeks until you have enough money to buy the shoes?

• 68 weeks

• 17 weeks

• 91 weeks

• 64 weeks

WRITE AN EQUATION
You bought a magazine for $5 and four
erasers. You spent a total of $29. How
much did each eraser cost?

• 5 + x = 29

• -5 - 4x = -29

• 5x = 29

• 29 - 5 = -4x

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.

• h = 2C + 15

• C = 15h + 2

• h = 15C + 2

• C = 2h + 15