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

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

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
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 /12
S – 11/12

5. The Hamied family stayed at a hotel for n nights
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 n 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. (18-35) x n (35-18)/n (18-35)/n (35+18)/n
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
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
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
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
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. The number of yards gained in the first play
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
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. X + x/2 = 22.5 X + 2x = 22.5 (x)(x/2)=22.5 1/2(x + x/2) = 22.5
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
Irina bought 2 songbooks and a new guitar. Each songbook cost the same price. The guitar cost $ Before tax, she spent a total of $ Which equation represents c, the cost in dollars, of each songbook?
c/ =
2c – =
2c =
2 + c =