One-Step Equations
Solve for x.
2x = 8
x = 4
Solve for x.
4x + 3 = 7
x = 1
Solve and graph the inequality.
c - 11 > 22
c < 33
Create an inequality to represent the scenario and then solve the inequality.
Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?
7c > 56
c > 8
Solve for a.
a + 4 = -88
a = -92
Solve for m.
2m - 5 = - 11
m = -3
Solve and graph the inequality.
-2x <- 4
x > 2
Jenny buys 22 sports drinks for her soccer team. They are on sale for $0.35 off per drink. Jenny paid $18.70 for the 22 sports drinks. Use the equation 22(x-0.35)=18.70 to determine the original price for each drink before the sale.
$1.20
Solve for z.
ᶻ⁄₃₀ = 70
z = 2,100
Solve for x.
-9x + 1 = -71
x = -8
Solve and graph the inequality.
13 - ʷ⁄₂ < 46
w > -66
A taxi company charges a flat fee of $2.25 plus $1.60 per mile. The total cost for Jill's taxi ride was $21.45. Use the equation 1.60m+2.55=21.45 to determine how many miles Jill's taxi ride was. Round your answer to the nearest mile.
12 miles (11.8125 rounds to 12)
Solve for c.
-4c = 14
c = -3.5
Solve for v.
ᵛ⁄₃ + 14 = 30
v = 48
Solve and graph the inequality.
- n + 101 ≤ 42
n ≥ 59
Chelsea earns $30 per day plus ¼ of her sales she makes during her work day. On Thursday, she wants to earn at least $60. Solve ¼x + 30 ≥ 60 to help Chelsea determine the least amount of sales she needs to make to earn $60.
$120
Solve for f.
f - 9 = -58
f = -49
Solve for k.
ᵏ⁄₅ + 11 = 7
k = -20
Solve and graph the inequality.
- ⁶ˣ⁄₉ > 4
x < -6
I buy some scarves that cost $5 each and 2 hats that cost $12 each. The cost of the total purchase is $44. Write an equation that can be used to find n, the number of scarves that I buys?
___ + ___ = ___
5n + 24 = 44