One-Step Equations
x + 8 = -15
x = -23
x = 4
3(x + 2) = 12
x = 2
True or False? -5(x + 4) = 30, x = 10
False, x = -10
Maria bought 3 notebooks and a pen for $2. Her total cost is $11. Write and solve an equation to find the cost of each notebook, n.
3n + 2 = 11
3n = 9
n = 3
Each notebook costs $3
x - 4 = -25
x = -21
5x - 3 = 12
x = 3
4(x - 1) = 20
x = 6
Select all that have solutions of x = -2
a. 4x = 8
b. 4x = -8
c. 4x + 8 = 16
d. x - 13 = -15
e. 3(x + 2) = 9
b, c, d
Ben bought a gym membership for $10 per month. The sign-up fee is $25. Ben spent a total of $85. Write and solve an equation to figure out how many months, m, Ben has been a member for.
10m + 25 = 85
10m = 60
m = 6
Ben has been a member for 6 months
-6x = -42
x = 7
x/3 + 2 = -6
-3(x + 4) = 18
x = -10
Which of the following does NOT have a solution of
x = -3?
a. 2x = 6
b. -2x = 6
c. 2x = -6
a. 2x = 6
Lena is saving money. She already has $20 and saves $5 per week. After some weeks, she has $60. Write and solve an equation to determine how many weeks, w, Lena saved for.
20 + 5w = 60
5w = 40
w = 8
Lena saved money for 8 weeks
x/-3 = 9
x = -27
x/-4 - 12 = -8
x = -16
-4(2x - 3) = 20
x = -8
Which of the following has a solution of x = -5?
a. -3x = -15
b. -3x = 15
c. -15x = 3
d. -15x = -3
b. -3x = 15
A phone company charges $30 per month plus a $50 activation fee. Jake paid $140 in total. Write and solve an equation to determine how many months, m, Jake used the phone company.
30m + 50 = 140
30m = 90
m = 3
Jake used the phone company for 3 months
1/2x = -15
x = -30
1/4x - 9 = 9
x = 72
1/2(2x - 8) = -14
x = -10
Identify and correct the error.
-3(-x - 5) = -20
3x - 5 = -20
3x = -15
x = -5
It should be 3x + 15 = -20
3x = -35
x = -35/3 or 11.66...
Jason earns $8 per hour. After working some hours, he had $56, but he had to pay a $16 equipment fee first. Write and solve an equation to determine how many hours, h, Jason worked.
8h - 16 = 56
8h = 72
h = 9
Jason worked for 9 hours