Writing Algebraic Expressions
and Linear Equations
7th grade math
Which expression represents the
phrase 83 less a number n?
1.
2.
3.
4.
83 – n
n – 83
83/n
n/83
88%
12%
0%
1
2
3
0%
4
If n stands for the unknown number, which
expression represents: the sum of a number
and three, divided by seven
1. N + 7/3
96%
2. 7/n + 3
3. 7/n+3
4. (N+3)/7
0%
1
4%
2
0%
3
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?
1.
2.
3.
4.
S + 11/12
S * 11/12
S  11/12
S – 11/12
77%
19%
4%
0%
1
2
3
4
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?
1.
2.
3.
4.
80n + 20n
80n + 20
80 + 20n
80 + 20 + n
92%
4%
1
4%
2
3
0%
4
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?
1.
2.
3.
4.
2P – 8
P – 8p/2
p/2 – 8
8 – p/2
65%
19%
12%
4%
1
2
3
4
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?
1.
2.
3.
4.
(18-35) x n
(35-18)/n
(18-35)/n
(35+18)/n
92%
4%
1
0%
2
3
4%
4
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?
1.
2.
3.
4.
R-3=12
r/3=12
R+3=12
3r=12
96%
0%
1
0%
2
3
4%
4
Magdalena bought a sweater that cost d dollars. She
paid the clerk $40. She received $5.19 in charge.
Which equation represents this situation?
1.
2.
3.
4.
40 – d = 5.19
40 + d = 5.19
D – 40 = 5.19
D – 5.19 = 40
81%
19%
0%
1
2
0%
3
4
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?
1.
2.
3.
4.
5a=45
45a=5
5 + a = 45
45 + a = 5
96%
0%
1
2
0%
3
4%
4
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?
1.
2.
3.
4.
N+¼=9
N–¼=9
NX¼=9
N ¼=9
96%
0%
1
0%
2
4%
3
4
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?
1. The number of yards
gained in the first play
2. The number of yards
gained in the second
play
3. The total number of
yards lost
4. How many more yards
were lost than gained
73%
19%
4%
1
2
4%
3
4
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?
1.
2.
3.
4.
3b + 10 = 20
3b – 10 = 20
10b + 3 = 20
10b – 3 = 20
100%
0%
1
0%
2
3
0%
4
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?
1.
2.
3.
4.
X + x/2 = 22.5
X + 2x = 22.5
(x)(x/2)=22.5
1/2(x + x/2) = 22.5
50%
23%
19%
8%
1
2
3
4
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?
1.
2.
3.
4.
c/2 + 250.10 = 301.80
2c – 250.10 = 301.80
2c + 250.10 = 301.80
2 + c + 250.10 = 301.80
88%
4%
1
8%
0%
2
3
4