Solving 2-Step Equations
2/5x -3 = 5
x = 20
3(x+6) = -18
x = -12
The perimeter of a rectangular garden is 27.5 feet. The width is x, and the length is 5 feet. What is the width, in feet, of the garden?
x = 8.75
Solve the following inequality:
-2x + 4 >= 24
x <= -10
3x + 18 = -18
x = -12
Evan used half his paycheck for his car payment, then $125 for groceries. If he has $215 left, how much was his paycheck?
$680
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. How many did she have at the start?
18 pieces
Solve the following inequality:
4 < 1 + frac{n}{7}
n > 21
11/5 x - 38 = 83
x = 55
It costs $4.25 per game at the bowling alley, plus $1.90 to rent shoes. If Wayne has $20, how many games can he bowl?
4 games
The 7th grade class is going on a field trip to the zoo. The trip will cost $40 per person. That price includes $15 for the bus ride plus the cost for 2 passes. One pass is for admission to the zoo, and the other is to view the "behind the scenes" rhino encounter. If both passes cost the same amount, how much will just one pass cost?
The passes cost $12.50 each
If this inequality represents the number of rounds of golf you can play, what is the maximum number of rounds?
75 + 15r <= 430
r = 23
0 = 4 + n/5
n = -20
A one-year membership to the gym costs $362. When signing up, members pay $54 for the first month, then the remaining months of the membership. How much can a member expect to pay each month after their initial month?
28
There are 42 students in the Builders Club. There is 6 more than 1/6 of the students in the Academic Club. Write an equation that can be used to determine the number of students in the Academic Club.
1/6x + 6 = 42
A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are fewer than 80 tons left at the scrapyard, how many days have passed?
Write and solve an inequality to answer the question.
What does the solution of your inequality means in terms of the answer to the question?
15t < 80; t < 5.3 repeating.
Less than 5 days have passed.
-1 = frac{5+x}{3}
x = -11
The eighth grade class is planning a trip to Washington, D.C. this spring. They need a minimum of 75 people to attend in order to reserve buses. If one-third of the 8th grade class plus 17 parent chaperones have signed up and this is enough to satisfy the requirement, how many students must be in the 8th grade class?
174 students
Elliott and his cousin wanted to go skating at Rainbow Skate Park. Elliott's mom gave him $20 to use. The charge to enter the park is $4, and then each hour it costs $2 to skate. They each wanted to get a drink for $2. How many hours could they each skate?
2(4 + 2x + 2) <= 20 x <= 2
Ella has $40 to spend at the State Fair. Admission is $6 and each ride costs $3. Write and solve an inequality to find the greatest number of rides she can go on.
6 + 3x <= 40
x= 11