Single-Step Equations
Solve: x+7=15
x=8
Simplify: 2(x+3)
2x+6
Simplify by combining like terms: 3x+2x
5x
Anna has 8 more than twice the number n. If the value is 20, find n.
n=6
Solve: m−12=9
m=21
Solve for x: 3(x−2)=12
x=6
Simplify: 2+5y−2y+2
3y+4
A store sold k bracelets for $6 each and earned a total of $78. Write and solve an equation to find k.
k=13
Solve: y/4=6
y=24
Use distributive property then solve: 4(2n+1)=28
n=3
Combine like terms and simplify: 2a+3−5+4a
6a-2
The length of a rectangle is 3 more than its width. If the width is w and the perimeter is 28, write and solve an equation to find the width. (Hint: perimeter of rectangle = 2(length+width).)
w=5.5 or 11/2
Solve: −8+p=3
p=11
Distribute and solve: −2(3a−4)=10
a=-1/3
Simplify: 7m−3n+2m−5n
9m-8n
Sam saved 1/3 of his money and spent the rest. After spending, he had $40 left, which was 2/3 of his original amount. How much money did Sam start with?
Sam started with $60
Solve: z/5−2=7
z=45
Apply distribution, combine like terms if needed, and solve: 5(12t+4)=35
t=6
Solve for x when y=2: 4x+3y−2x+y=18
x=5
A gym membership costs a signup fee plus a monthly fee. The total cost for 4 months was $140. If the signup fee is $20, write and solve an equation to find the monthly fee m.
20+4m=140
m=30