Level 1
6a + 9 = 3a + 12
a = 1
p + 2p + 3p + 15 = 4p - 11
p = -13
0.5x - 20 - x = 3(2x - 1) - (2x -1)
x = -4
Twice a number increased by 5 is equal to the same number decreased by 7.
x = -12
1 + 2x = 5x + 3
a = -2/3
-8 + 0.75z = 12 - 0.25z
z = 20
2(z + 5) + 5(z + 2) = 10(z - 1)
z = 10
Seven less than five times a number is equal to twice the sum of that same number increased by 4. What is the number?
x = 5
-2 + x = -5 - 5x
x = -1/2
y = 8
-6p + 7(1 + 3p) = 2(7 + 8p)
p = -7
John has $128 saved in his piggy bank and he plans to add $5 per week to it. Kim has $50 saved in her piggy bank and she plans to add $8 per week to it. How many weeks will it take for John and Kim to have the same amount of money in their piggy banks?
26 weeks
-a - 10 = 5a + 8
a = -3
13w + 5 = 6(3w -10)
w = 13
-11 + 10(p + 10) = 4 - 5(2p + 11)
p = -7
Alice has eight good behavior stars and earns a new one each week. Mark has two good behavior stars and earns two new ones each week. In how many weeks will they have the same number of good behavior stars?
6 weeks
4a - 8 = a + 13
a = 7
-3(2t - 1) = t + t + t + 3
t = 0
-8(x + 1) + 3(x - 2) = -3x + 2
x = -8
A salesperson in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the salesperson sell to make the same amount of money under both plans?
10 stereos