Two-Step Equations
7a − 3 = −31
a=-4
−8x + 19 < −13
x > 4
The population of Metsville is 1,274 people less than the population of Eden. If the population of
Eden is 9,021 people, what is the population of Metsville?
7747 people
The sum of two-ninths of a number and 17 is
21.
2/9 n +17 = 21
9x −13 < −58
x < -5
16 = 40 − 3p
8=p
−225 ≤ 320 − 0.5𝑥
x ≥ 1090
Three-eighths of the seventh grade students were taking advanced math at the beginning of the year,
but seven dropped out by the end of the year. If there were 140 students taking advanced math
at the end of the year, how many total 7th grade students are there?
392 students
The quotient of a number decreased by 7 and
-2 is -10.
n-7/-2 =-10
a/-3 +18 ≤ 14
a ≥ 12
-17+ 1/2 m = -29
m=-24
550 + 8𝑏 > 925
b > 46.875
Camille stopped at the grocery store to buy milk. While at the store, she spotted cans of soup
on sale for $2.25 each. If the milk costs $3.50 and she can spend no more than $35, how many cans
of soup can she buy?
less than or equal to 14 cans
Five less than the quotient of a number and 3
is no less than 11.
n/3 -5 ≥ 11
k-13/5 ≤ -3
k ≤ -2
r-7/6 = -5
r=-23
7.50ℎ + 55 ≥ 235
h ≥ 24
Jackson earns $25 per hour as a tutor at the college library. He set a weekly spending budget
of $130 each week and puts the remaining money in his savings account. How many hours must he
work this week in order to have at least an extra $50 to put in his savings account?
greater than or equal to 7.2 hours
The sum of one and three-fifths of a number
is at most 42.
1 + 3/5 n ≤ 42
-4/7 (v+28) < -8
v > -14
-1.5 = c+13/-8
-1=c
-7n + 28 ≥ 42
n ≤ -2
Adalyn is stocking up on cans of soup for the
winter. They are on sale for $2.25 each and
she has a $3 coupon. If she can spend no
more than $30 on soup, how many cans can
she buy?
at most 14 cans... less than or equal to
The difference between twice a number and
41 is -23.
2n -41 = -23
19-4p < 55
p>-9