Problems / Other
Is x = -6 a solution to the equation 3x + 4 = -14
YES
Simplify:
3x + 4x
7x
Solve for x:
x + 5 = 12
x = 7
Solve for x:
8 + 2x + 6 = 28
x = 7
Solve for x:
2(3x-2) + 4x = 26
x = 3
Is x = 4 a solution to the equation -5x + 2 = 18
NO
Simplify:
5(x+4)
5x + 20
Solve for x:
3x + 2 = 11
x = 3
Solve for x:
7 (x+3) = 56
x = 5
Solve for x:
3(x+2) + 2x = 16
x = 2
Set up an equation that represents the following equation:
Joe has $12 in his bank account. He is saving $8 per week and is going to buy a bike when he has $150 dollars in his bank account. After how many weeks will Joe be able to buy a bike?
8x + 12 = 150
Simplify:
-8x + 5 + 2x - 4
-6x + 1
Solve for x:
-12 = 2x + 4
x = -8
Solve for x:
4x + 7 - 2x + 5 = 30
x = 9
Solve for x:
1/4 (x + 16) - 10 = 2
x = 32
So far, Ellie has collected 20 coins and collects 4 more everyday. After how many days will Ellie have 40 coins?
Set up and solve the equation that represents this situation. Write your answer as a sentence!
Ellie will have 40 coins in 5 days
Simplify:
4 (2x - 3) + 5
8x - 7
Solve for x:
10 = -5 - 3x
x = -5
Solve for x:
18 = -3(12 - 2x)
x = 9
Solve for x:
21 = 15x - 3(4x-6)
x = 1
Mark has $120 dollars but has been spending $15 every week on McDonalds. After how many weeks will Mark have $45 dollars left?
Set up and solve the equation that represents this situation. Write your answer as a sentence!
Mark will have $45 dollars after 5 weeks
Simplify:
6 - 3(x - 2) + 8x
5x + 12
Solve for x:
(3/5)x - 2 = 4
x = 10
Solve for x:
10 = 1/2 (x - 4)
x = 24
2 (3x - 1) + 3(x + 2) = 22
x = 2