Translating Words to Equations
A number decreased by seven is thirteen.
x - 7 = 13
Seven less than a number is fifteen.
x - 7 = 15
Anna is buying pencils for $0.75 each. She has $7.50. Create an equation and determine how many pencils she can buy.
p = pencils; 0.75p = 7.50; p = 10; 10 pencils
Steve is buying packets of ketchup for $0.25 each. He has $3. Create an equation and determine how many ketchup packets he can buy.
p = packets; 0.25p = 3; p = 12; 12 ketchup packets
Steve wants to take a trip to Florida. The total trip will cost him $750. He currently has $200 from his birthday. He decides to mow lawns at a rate of $35 per lawn. Write an equation in slope-intercept form to show the minimum number of lawns he would need to mow to have enough money to pay for the trip. Solve your equation to find the minimum number of lawns he must mow.
m = lawns; 35m + 200 = 750; m = 15.71; 16 lawns
Six less than a number is twelve.
x - 6 = 12
Five times a number is twenty-five.
5x = 25
Ben is purchasing cookies for $1.85 each. He has $18.50. Create an equation and determine how many cookies he can buy
c = cookies; 1.85c = 18.50; c = 10; 10 cookies
Lily is buying cups of coffee for $1.75 each. She has $10. Create an equation and determine how many cups of coffee she can buy.
c = cups; 1.75c = 10; c ≈ 5.71; 5 cups
Sarah wants to buy a laptop for $1,200. She has $300 saved up. She plans to earn $50 per tutoring session. Write an equation in slope-intercept form to show the minimum number of sessions she must work to afford the laptop. Solve your equation to find the minimum number of sessions she must work.
s = sessions; 50s + 300 = 1200; s = 18; 18 sessions
The sum of a number and ten is equal to twenty-five.
x + 10 = 25
Twice a number minus ten is equal to thirty.
2x - 10 = 30
A concert ticket costs $12.99. Clara has $50.00. Create an equation and determine how many tickets she can buy.
t = tickets; 12.99t = 50.00; t ≈ 3.85; 3 tickets
A bag of flour costs $3.25. Anna has $20. Create an equation and determine how many bags of flour she can buy.
f = bags; 3.25f = 20; f ≈ 6.15; 6 bags
James is saving for a new gaming console that costs $800. He has $100 from his allowance. He earns $45 for each lawn he mows. Write an equation in slope-intercept form to show the minimum number of lawns he must mow to afford the gaming console. Solve your equation to find the minimum number of lawns he must mow.
l = lawns; 45l + 100 = 800; l = 15.56; 16 lawns
Twice a number increased by four is thirty.
2x + 4 = 30
The sum of a number and twelve, divided by four, equals five.
(x + 12) / 4 = 5
The cost of a gym membership is $24.75 per month. Sophie has $150.00. Create an equation and determine how many months of membership she can pay for.
m = months; 24.75m = 150; m ≈ 6.06; 6 months
Mike is buying tickets for a concert at $8.45 each. He has $50. Create an equation and determine how many tickets he can buy.
t = tickets; 8.45t = 50; t ≈ 5.92; 5 tickets
Emily wants to buy a new phone that costs $650. She has $150 saved up. She earns $28 per babysitting session. Write an equation in slope-intercept form to show the minimum number of sessions she must babysit to afford the phone. Solve your equation to find the minimum number of sessions she must work.
b = sessions; 28b + 150 = 650; b = 17.86; 18 sessions
The difference between three times a number and five is equal to twenty.
3x - 5 = 20
The difference between four times a number and eight is twenty-four.
4x - 8 = 24
A book costs $18.49. Jordan has $150.00. Create an equation and determine how many books he can buy.
b = books; 18.49b = 150; b ≈ 8.11; 8 books
A smartphone costs $289.99. John has $1,000. Create an equation and determine how many smartphones he can buy.
s = smartphones; 289.99s = 1000; s ≈ 3.45; 3 smartphones
Jordan wants to buy a new laptop for $1,200. He has $400 saved up. He earns $65 for each tutoring session. Write an equation in slope-intercept form to show the minimum number of sessions he must work to afford the laptop. Solve your equation to find the minimum number of sessions he must work.
t = sessions; 65t + 400 = 1200; t = 12.31; 13 sessions