Writing Algebraic Expressions and Linear Equations

1. Writing Algebraic Expressions and Linear Equations 7th grade math

2. Which expression represents the phrase 83 less a number n? • 83 – n • n – 83 • 83/n • n/83

3. If n stands for the unknown number, which expression represents: the sum of a number and three, divided by seven • N + 7/3 • 7/n + 3 • 7/n+3 • (N+3)/7

4. Johanna has s yards of string. She can cut an equal number of pieces of string for an art project if each piece is 11/12 foot long. Which expression shows the number of pieces she can cut? • S + 11/12 • S * 11/12 • S 11/12 • S – 11/12

5. The Hamied family stayed at a hotel for n nights. The cost was $80 per night plus a one-time fee of $20 because they brought their dog. Which expression represents the total cost of their hotel stay? • 80n + 20n • 80n + 20 • 80 + 20n • 80 + 20 + n

6. The number of pledges that Melissa collected for this year’s charity walk is 8 less than half the number of pledges she collected last year. Which expression represents the number of pledges she collected this year? • 2P – 8 • P – 8p/2 • p/2 – 8 • 8 – p/2

7. Aiden is shopping for school supplies. He has $35 to spend on a calculator and notebooks. He will buy one calculator for $18. Let n represent the cost of one notebook. Which expression represents the number of notebooks Aiden can buy with $35? • (18-35) x n • (35-18)/n • (18-35)/n • (35+18)/n

8. Lou has r rocks in his collection. He separated his rocks into 3 equal piles. He now has 12 rocks in each pile. Which equation represents this situation? • R-3=12 • r/3=12 • R+3=12 • 3r=12

9. Magdalena bought a sweater that cost d dollars. She paid the clerk $40. She received $5.19 in charge. Which equation represents this situation? • 40 – d = 5.19 • 40 + d = 5.19 • D – 40 = 5.19 • D – 5.19 = 40

10. Carson sold 5 times as many raffle tickets as Alice. If Carson sold 45 raffle tickets in all, which equation can be used to represent a, the number of tickets Alice sold? • 5a=45 • 45a=5 • 5 + a = 45 • 45 + a = 5

11. Clarissa had a strip of leather that was n yards long. She cut the strip into pieces that were each ¼ yard long, with no leather left over. She used all of the pieces and made 9 bracelets. Which equation represents this situation? • N + ¼ = 9 • N – ¼ = 9 • N X ¼ = 9 • N ¼ = 9

12. After the first two plays of a football game, the Beagles has a net loss of 10 yards. During the first play, they gained yards. During the second play, they lost 1 more than 4 times as many yards as they had gained in the first play. The equation below represents this situation. Y-(4y+1)=-10 What does y represent in this equation? • The number of yards gained in the first play • The number of yards gained in the second play • The total number of yards lost • How many more yards were lost than gained

13. Jonas bought 3 books, each of which was the same price. After using a $10-off coupon, the total charge was $20. Which expression represents b, the cost of each book? • 3b + 10 = 20 • 3b – 10 = 20 • 10b + 3 = 20 • 10b – 3 = 20

14. A rectangle has a length of x centimeters and a width that is equal to half of its length. The perimeter of the rectangle is 22.5 centimeters. Which equation represents this situation? • X + x/2 = 22.5 • X + 2x = 22.5 • (x)(x/2)=22.5 • 1/2(x + x/2) = 22.5

15. Irina bought 2 songbooks and a new guitar. Each songbook cost the same price. The guitar cost $250.10. Before tax, she spent a total of $301.80. Which equation represents c, the cost in dollars, of each songbook? • c/2 + 250.10 = 301.80 • 2c – 250.10 = 301.80 • 2c + 250.10 = 301.80 • 2 + c + 250.10 = 301.80