1.1E Homework: Linear Equations and Real World Problems* Name:
Period:
Directions: Write a word problem that goes with the given information and equation. Solve the word problem and verify your answer. 1.
Angles:
Word Problem: Solution:
𝑚∠𝐴: 𝑎 𝑚∠𝐵: 2𝑎
a + 2a = 180
2.
Ages
Word Problem:
Felipe’s age now: f Solution: Felipe’s sister’s age now: 𝑓 − 6 Felipe’s mom’s age now: 3𝑓 − 9 𝑓 + 𝑓 − 6 + 3𝑓 − 9 = 60
3. A Trip to Disneyland
Word Problem:
Miles driven on the first day: 𝑚 Solution: Miles driven on the second day: 2𝑚
Miles driven on the third day: 2𝑚 + 50
m + 2m + (2m + 50) = 650
4. Triangles 𝑚∠𝑋: 𝑥 𝑚∠𝑌: 𝑥 𝑚∠𝑍: 3𝑥
x + x + (3x) = 180
Word Problem: Solution:
5. The Cost of Clothes
Word Problem:
Cost of a shirt: 𝑐 Solution: Cost of a pair of jeans: 𝑐 + 12
3c + (c + 12) = 124
6.
A Trip to the Fair
Word Problem:
# of tickets for a pony ride: 𝑏 # of tickets to ride the Ferris wheel:
! !
Solution: 𝑏
# of tickets to bungee jump: 2𝑏 + 5
⎛ 1 ⎞ 3b + 4 ⎜ b ⎟ + (2b + 5) = 33 ⎝ 2 ⎠
Directions: Write an expression for each unknown quantity and write an equation for each word problem. Solve your equation and write your answer in a complete sentence. 7. The number of boys in the Sports Club is four fifths the number of girls. If there are 360 boys and girls altogether in the club, how many girls are there in the club? 8. Michaela’s age is ten years greater than half Jake’s age. If the sum of their ages is 55, how old is Michaela? 9. A certain molecule contains twice as many atoms of hydrogen as oxygen and one more atom of carbon than hydrogen. If there are 21 atoms altogether in the molecule, how many atoms of carbon are there? 10. One number is 35 greater than a second number. If the lesser number is subtracted from twice the greater number, the difference is 87. Find the numbers. 11. The length of a certain rectangle is 3 cm less than twice its width. If each dimension were reduced by 5 cm, the resulting figure would have a perimeter of 16 cm. What are the dimensions of the original rectangle?
1.1E Homework: Linear Equations and Real World ...
The number of boys in the Sports Club is four fifths the number of girls. If there are 360 boys and girls altogether in the club, how many girls are there in the club? 8. Michaela's age is ten years greater than half Jake's age. If the sum of their ages is 55, how old is. Michaela? 9. A certain molecule contains twice as many atoms ...
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