One-Step Equations
x + 2.25 = 22.5
x = 20.25
3x + 2 = 11
x = 3
Solve. x + 1 ≤ 5
x ≤ 4
5x + 1 < 36
x < 7
Three times a number is greater than 5. Write the inequality that represents this:
A) x + 3 > 5
B) x + 3 < 5
C) 3x > 5
D) 3x < 5
C) 3x > 5
5x = 75
x = 15
4x - 2 = 18
x = 5
Solve. 6x < 18
x < 3
7x + 2 < 30
x < 4
Two times a number plus 14 is less than 30. Write the inequality that represents this:
A) 2x + 14 < 30
B) 2x - 14 < 30
C) x/2 + 14 < 30
D) x/2 - 14 < 30
A) 2x + 14 < 30
x/4 = 24
x = 96
-6x + 12 = 24
x = -2
Solve. -5x ≥ 20
a ≤ -4
*Flip the inequality when you multiply or divide by a negative*
-3x + 9 ≥ 33
x ≤ -8
*Flip the inequality when you multiply or divide by a negative*
Doggy Day Care charges $4 each day to take care of your dog while you're away. You have a budget of $40. Let x be the number of days your dog spends in day care. Which equation represents how many days you can leave your dog there?
A) x + 4 = 40
B) x - 4 = 40
C) 4x = 40
D) x/4 = 40
C) 4x = 40
x/-5 = -6
x = 30
x = 4
Solve x + 12 ≥ 15
x ≥ 3
-8x - 2 < -18
x > 2
*Flip the inequality when you multiply or divide by a negative*
Doggy Day Care charges a fee of $18 plus $3 each day to take care of your dog while you're away. You have a budget of $99. Let x be the number of days your dog spends in day care. Which equation represents how many days you can leave your dog there?
A) 18x + 3 = 99
B) 3x + 18 = 99
-2x = 96
x = -48
x = 14
x - 15 > 22
x > 37
-12x + 10 > 82
x < -6
*Flip the inequality when you multiply or divide by a negative*
Dylan has $100. He wants to buy a book for $20 and some CDs for $15 each. Let x be the number of CDs he buys. Write an equation that will let you solve for the maximum number of CDs he can buy.
A) 15x + 20 = 100
C) 20x + 15 = 100
A) 15x + 20 = 100