Algebra 1 Word Problems Equations

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

• 5q + 2z = 1.32
  1z = 0.75

• 5q + 2z = 1.32
  3q + 1z = 0.75

• q + z = 1.32
  q + z = 0.75

• 5q + 2z = 0.75
  3q + 1z = 1.32

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

A large pizza at Pizzi Inn costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

The sum of Mrs. LaRoque's and Mrs. Murphy's ages is 61. The difference is 7. What are their ages?

• 31 and 31

• 54 and 7

• 27 and 34

• 21 and 40

Jasmine is helping her mom with a small vegetable patch. Tomato plants are selling for $4, and pepper plants are selling for $3. They don't want to spend more than $60. Which combination of tomato plants and pepper plants will they be able to purchase?

• 10 tomato plants and 9 pepper plants

• 5 tomato plants and 15 pepper plants

• 12 tomato plants and 6 pepper plants

• 6 tomato plants and 11 pepper plants

You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?

• $1.00 per taco, $2.00 per burrito

• $2.50 per taco, $1.25 per burrito

• $1.33 per taco, $1.66 per burrito

• $1.25 per taco, $2.50 per burrito

The sum of two numbers is 6. The difference of the two numbers is 46. Find the numbers.

• 46 and 52

• -52 and 40

• -26 and 20

• -46 and 40

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

A rectangle has a perimeter of 70 feet. Its length is five more than twice its width. Which equation can be used to determine the width of the rectangle?

• 2x + 5 = 70 

• 3x + 5 = 70 

• 6x + 10 = 70 

• 5x + 2 = 70