Step-by-Step
What is the first step to solve 2x + 5 = 11
Subtract 5 from both sides
Simplify the expression 3(x + 4)
3x + 12
You buy a pizza for $10 and 4 sodas for a total of $18. Write and solve an equation to find the cost of one soda (s).
1. 4s + 10 = 18
2. s = 2
Does x + 5 = 10 have the same solution as 2x = 10?
Yes both have a solution of x = 5
A car rental costs $40 a day, and insurance costs $10 a day. If the total bill was $250, write and solve an equation for the number of days (d).
1. d(40 + 10) = 250
2. d = 5
To solve x/4 - 3 = 2, which operation do you perform first, and what is the second operation
Add 3, then Multiply by 4
Solve for x: 2(x + 5) = 20
x = 5
Sarah paid $5 for admission and $2 per ride. If she spent $15 total, write and solve an equation for the number of rides (r)
1. 2r + 5 = 15
2. r = 5
Select the equation equivalent to 1/2(6 + 4x) = 10
A) 3 + 2x = 10
B) 6 + 4x = 5
A) 3 + 2x = 10
A rental is $45 a day, and insurance is $15 a day. If you have a $20 coupon and the total is $220, write and solve an equation for the days (d)
1. 60d - 20 = 220
2. d = 4
Solve for n mentally: 3n - 10 = 20
n = 10
Solve for x: -3(4 + x) = 16
x = -8
A plumber charges $50 for a visit plus $30 per hour. If the total bill was $200, write and solve an equation for the hours (h)
1. 30h + 50 = 200
2. h = 5
True or False: 3(x - 2) = 12 is equivalent to x - 2 = 4
True
Marvin rents a car for 5 days. Insurance is $20 a day. If he spent $300 total, write and solve an equation to find the daily car rate (r)
1. 5(r + 20) = 300
2. r = 40
Order the steps for solving 1/2n + 5 = 10
1. Subtract both sides by 5
2. Multiply both sides by 2
3. n = 10
Solve for x: -2(x - 8) = 20
x = -2
Jake spent $34 at the fair. Admission was $10, and he bought 6 tickets. Write and solve an equation for the cost of one ticket (t)
1. 6t + 10 = 34
2. t = 4
Solve 0.5x + 1 = 4. What is a simplified version of this equation without decimals?
x + 2 = 8
A full-size car costs $50 a day, and insurance costs $20 a day. If the total bill after a $30 coupon is $460, write and solve an equation for the days (d)
1. 70d - 30 = 460
2. d = 7
Solve for y: -5y + 12 = -13
y = 5
Solve for x: 1/2(10x-4) = 13
x = 3
A taxi costs $3.00 plus $2.00 per mile. If the total cost was $23.00, write and solve an equation for the miles (m)
1. 2m + 3 = 23
2. m = 10
Which is equivalent to 4x + 8 = 20?
A) x + 2 = 5
B) 4x = 28
A) x + 2 = 5
A luxury car costs $90 a day, and insurance costs $30 a day. After a $60 coupon, the total was $420. Write and solve an equation for the days (d)
1. 120d - 60 = 420
2. d = 4