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Translate: “8 more than a number.”
x + 8
Solve: x + 5 = 12
x = 7
A gym charges a $20 sign-up fee and $15 per month. If you paid $80 total, how many months have you been a member?
20 + 15m = 80
m = 4
4 months
Solve: 2x + 3 = 9
x = 3
True or False: 3x + 2 = 11 → x = 4
False
Translate: “The product of a number and 5.”
5x
Solve: x – 9 = 3
x = 12
A taxi company charges $3 to start the ride and $2.50 per mile. If the total cost is $18.50, how many miles did you travel?
3 + 2.5m = 18.5
m = 6.2
6.2 miles
Solve: 3x – 4 = 8
x = 4
Identify the error: 4x + 6 = 18 → x = 6
Added 6 instead of Subtracting 6
x = 3
Translate: “12 less than twice a number.”
2x-12
Solve: 4x = 20
x = 5
You bought 3 T-shirts and a hat for $45. If the hat costs $15, how much does each T-shirt cost?
3t + 15 = 45
t = 10
$10
Solve: 4x + 6 = 18
x = 3
Check the solution: 5x – 3 = 17, x = 4
5 (4) - 3 = 17
20 - 3 = 17
Write an equation: “A number divided by 3 is equal to 7.”
x ÷ 3 = 7
or
x/3 = 7
Solve: x ÷ 6 = 8
x = 48
A babysitter charges $10 per hour plus a $5 transportation fee. If a family paid $45, how many hours did the babysitter work?
10h + 5 = 45
h = 4
4Hours
Solve: 5x – 7 = 18
x = 5
The equation 2x + 5 = 13 was solved as x = 8. What’s the correct value of x?
x = 4
Write an equation: “Four more than triple a number equals 19.”
3x + 4 = 19
Solve: –7x = 35
x = -5
At a fundraiser, tickets cost $6 each, plus a one-time table fee of $12. If the total money collected was $60, how many tickets were sold?
6t + 12 = 60
t = 8
8 tickets
Solve: 2x/3 + 4 = 10
2x ÷ 3 + 4 = 10
x = 9
An equation reads: 3(x + 4) = 18. Student says x = 9. Correct or incorrect?
Incorrect
x = 2