One-Step Equations
x+5=12
x=?
x + 5 = 12
Step: Subtract 5 from both sides
x = 12 - 5
Answer: x = 7
3x+5=20
x=?
3x + 5 = 20
Step 1: Subtract 5 from both sides: 3x = 15
Step 2: Divide both sides by 3: x = 5
Solution: x = 5
4z+10=34
z=?
4z + 10 = 34
Step 1: Subtract 10 from both sides: 4z = 24
Step 2: Divide both sides by 4: z = 6
Solution: z = 6
5a-3=27
a=?
5a - 3 = 27
Step 1: Add 3 to both sides: 5a = 30
Step 2: Divide both sides by 5: a = 6
Solution: a = 6
How many bags of Takis can you buy with $40 if one bag costs $5?
1. We know the cost of one bag of Takis is $5.
2. We want to find out how many of these $5 bags we can buy with $40.
3. To do this, we need to divide $40 by $5: $40 ÷ $5 = 8
Therefore, you can buy 8 bags of Takis with $40 if one bag costs $5.
y-3=9
y=?
y - 3 = 9
Step: Add 3 to both sides
y = 9 + 3
Answer: y = 12
2y-7=13
y=?
2y - 7 = 13
Step 1: Add 7 to both sides: 2y = 20
Step 2: Divide both sides by 2: y = 10
Solution: y = 10
6b+8=44
b=?
6b + 8 = 44
Step 1: Subtract 8 from both sides: 6b = 36
Step 2: Divide both sides by 6: b = 6
Solution: b = 6
2c-9=15
c=?
2c - 9 = 15
Step 1: Add 9 to both sides: 2c = 24
Step 2: Divide both sides by 2: c = 12
Solution: c = 12
Last Friday Ethan had $22.33. Over the weekend he received some money for cleaning the garage. He now has $32. How much money did he receive?
1. Initial amount Ethan had: $22.33
2. Final amount Ethan has: $32.00
3. We need to find out how much money he received
To solve this, we need to subtract the initial amount from the final amount: $32.00 - $22.33 = $9.67
Therefore, Ethan received $9.67 for cleaning the garage.
2z=14
z=?
2z = 14
Step: Divide both sides by 2
z = 14 ÷ 2
Answer: z = 7
8f+4=52
f=?
8f + 4 = 52
Step 1: Subtract 4 from both sides: 8f = 48
Step 2: Divide both sides by 8: f = 6
Solution: f = 6
4g-6=30
g=?
4g - 6 = 30
Step 1: Add 6 to both sides: 4g = 36
Step 2: Divide both sides by 4: g = 9
Solution: g = 9
9h+7=61
h=?
9h + 7 = 61
Step 1: Subtract 7 from both sides: 9h = 54
Step 2: Divide both sides by 9: h = 6
Solution: h = 6
After paying $5.12 for a salad, Sarah has $27.10. How much money did she have before buying the salad?
1. We know Sarah's current amount of money: $27.10
2. We know the cost of the salad: $5.12
3. We need to find out how much money Sarah had before buying the salad To find the original amount, we need to add the current amount and the cost of the salad: $27.10 + $5.12 = $32.22
-Therefore, Sarah had $32.22 before buying the salad.
m/4=6
m=?
m/4 = 6
Step: Multiply both sides by 4
m = 6 × 4
Answer: m = 24
3m+9=36
m=?
3m + 9 = 36
Step 1: Subtract 9 from both sides: 3m = 27
Step 2: Divide both sides by 3: m = 9
Solution: m = 9
6k-4=50
k=?
6k - 4 = 50
Step 1: Add 4 to both sides: 6k = 54
Step 2: Divide both sides by 6: k = 9
Solution: k = 9
5i-8=37
i=?
5i - 8 = 37
Step 1: Add 8 to both sides: 5i = 45
Step 2: Divide both sides by 5: i = 9
Solution: i = 9
Alex earns $10 per week from his allowance and saves it all. He wants to save $50 more to buy a game that costs $110. How many weeks will it take Alex to save enough money?
1. Let x represent the number of weeks Alex needs to save.
2. Alex already has $50, and he saves $10 each week. The total amount saved after x weeks can be represented as: 10x+50=110
3. Subtract 50 from both sides to isolate the term with x: 10x=60
4. Divide both sides by 10 to solve for x: x=6.
3a=21
a=?
3a = 21
Step: Divide both sides by 3
a = 21 ÷ 3
Answer: a = 7
9x-7=-7
x=?
9x - 7 = -7
Add 7 to both sides:
9x = 0
Divide both sides by 9:
x = 0
6=2(y+2)
y=?
6 = 2(y + 2)
Divide both sides by 2:
3 = y + 2
Subtract 2 from both sides:
1 = y
-4x+7=15
x=?
-4x + 7 = 15
Subtract 7 from both sides:
-4x = 8
Divide both sides by -4:
x = -2
331 7th grade students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
1. Total number of students on the field trip: 331
2. Number of students who traveled in cars: 7
3. Number of buses: 6
Now, let's solve:
- First, let's find how many students traveled by bus: Students on buses = Total students - Students in cars
Students on buses = 331 - 7 = 324
Now we need to divide the number of students on buses by the number of buses:
- Students per bus = Students on buses ÷ Number of buses
Students per bus = 324 ÷ 6 = 54
Therefore, there were 54 students in each bus.