Solving Equations
Solve the following equation:
4 - 8x=13x + 2(2 + x)
x = 0
Solve the following equation:
(3/2)x = 14
x = 7
Solve the following inequality:
x + 15 > 27
x > 12
Solve the following equation:
(4/3)x = 12
x = 9
Solve this problem by writing and solving an inequality. Define your variable.
Manny needs to buy 5 work shirts that are each the same price and a sweater for $20. He can spend more than than $70. What is the maximum amount that each shirt can cost?
x = cost of the shirt ($)
5x + 20 ≤ 70
Each shirt can cost at most $14.
Solve the following equation:
-(7 - 4x) = 9
x = 4
0.4x + 6 = 0.15x
x = -24
Solve the following inequality:
5x + 7 ≤ -23
x ≤ -6
Solve the following equation:
7x + 20 < -15
x < -5
Solve this problem by writing and solving an inequality. Define your variable.
Ricky has $18.00. Bagels cost $1.10 each and a small container of cream cheese costs $1.50. What is the greatest number of bagels Ricky can buy if he also buys one small container of cream cheese?
x = # of bagels Ricky can buy
1.1x + 1.5 ≤ 18
Ricky can buy a maximum of 15 bagels.
Solve the following equation:
3(5x - 2) - 6x = 3(3x + 2)
No Solution
Solve the following equation:
7x/4 - 3/2 = -5
x = -2
Solve the following inequality:
13 + 4x ≥ 3(x + 13)
x > 26
Solve the following equation:
x/4 - x/6 = 2/3
x = 4
Solve this problem by writing and solving an inequality. Define your variable.
Jake has $50 to spend at Adventureland. He wants to get funnel cake while he is there, which costs $4 each. How many funnel cakes can Jake buy to still have at least $35 to spend on rides and games?
x = # of funnel cakes Jake can buy
4x + 35 ≤ 50
x ≤ 3.75
Jake can buy 3 funnel cakes.
Solve the following equation:
3(-3x + 4) = 15 - 11x + 2x - 3
Infinitely Many Solutions
Solve the following equation:
(4x - 3)/6 + 1/3 = x/2
x = 1
Solve the following inequality:
2(-8 - x) - 15 ≤ 9
x ≥ -20
Solve the following inequality:
-5x/3 + 4/3 > -8/9
x < -4/3
Solve this problem by writing and solving an inequality. Define your variable.
The 35 members of a drill team are trying to raise at least $1,200 to cover travel costs to a training camp. They have already raised $500. How much money should each member raise to meet the goal?
x = amount of money each member should raise ($)
35x + 500 ≥ 1,200
Each member should raise at least $20.
Solve the following equation:
-5(1 - 5x) + 5(-8x - 2) = -4x - 8x
x = -5
Solve the following equation:
(-2x+1)/3 - (x+3)/7 = 8
x = -10
Solve the following inequality:
28 - x ≥ 7(x - 4)
x ≤ 7
Solve the following inequality:
-x/3 - x/5 ≤ 4
x ≥ -7.5
Solve this problem by writing and solving an inequality. Define your variable.
Molly saved $150 from her job to buy books. She goes to the store and buys books that cost $9.40 each. What is the maximum number of books Molly can buy to still have $9 left over to buy lunch?
x = # of books Molly buys
150 - 9.40x ≥ 9
Molly can buy a maximum of 15 books.