Simplifying and One Step
Solve for e.
6/7 e=12
e=14
2. Solve the equation:
17 – 19x = 10
x=63
Solve the equation:
-12c – 4 + 7.5c – 11 = -6
c=-2
Marshall earns a salary of $36,000, and
each year he receives a $4,000 raise. Jim
earns a salary of $51,000, and each year he
receives a $1,500 raise. How many years will
it take before Marshall and Jim earn the same
salary?
36,000+4,000x=51,000+1,500x
x=6 years
Solve for g.
g + 3 1/2 = 10
g=6.5
Solve the equation:
x−3.5 + 33 = 30
x=10.5
Solve the equation:
-4 + w + 17 – 23w = 16
w=9
Peter’s suitcase weighs 14 2/5 pounds, and he adds 3/5 pounds each minute. William’s suitcase weighs 48 pounds, and he removes 4/5 pounds each minute. After how many minutes will the weight of both suitcases be the same?
x=24 minutes
Simplify.
12 5/6x – 14x + 1/6x
-x
Solve for x.
2/3x – 24 =1/6x – 6
x=36
8x – 4 = 12x + 6 + x
x=-2
A sprout in Jessie’s garden is 5 1/5 cm tall and
is growing 1 3/10 cm each week. Write and solve
an equation in order to determine how many
weeks it will take for the plant to be 13 cm tall.
5 1/5 + 1 3/10x = 13
Simplify
-4/7 +2/7x – 14x + 4
-13 5/7x
Solve for x.
2/3x – 24 =1/6x – 6
x=36
Solve for b.
-2 – 0.5b + 12 = 0.3b + 6.2
b=4.75
An acorn is falling from 13 feet in the air. If
it descends 4.8 feet every second, write and
solve an equation to determine how long it will
take for the acorn to be 1 foot above the
ground.
13-4.8x=1
x=2.5 seconds
Simplify
-1.2k + 3.9 – g + .5g + 7 + .3k
-.5g – .9k + 10.9
The perimeter of the rectangle shown is 36 inches. Write and solve an equation to find the value of x.
Length: 4x – 6
Width:12
8x+12=36
x=3
5.9 – m = -4.5 – 5m
m=-2.6
Vera is currently using 16,000 MB of
storage on her phone, and she is deleting 2.2
MB of music each minute. Keira is currently
using 11,275 MB of storage on her phone, and
she is adding 16.7 MB of music each minute.
Write an inequality that could be used to find
the number of minutes it will take for Vera to
be using no more than the amount of storage
that Keira is using.
16,000-2.2x </= 11,275+16.7x