Like Terms
x + 2x + 3x − 5
6x - 5
m + 12 = 15
m=3
5n + 3 = 18
n=3
4n(n − 6)
4n² − 24n
6x + 9
3(2x + 3)
Sammy says 3x + 2x = 5x²
Wrong. Adding like terms doesn't change the power. Answer is 5x.
5x² + 8xy − 2y² − xz − 2x²
3x² + 8xy − 2y² − xz
3x = 15
x=5
−4y − 2 = 14
y=-4
Expand and simplify:
2(e − 6) − 4
2e − 16
15ab − 10b
5b(3a − 2)
Sammy says 2(x + 3) = 2x + 3
Wrong. Must multiply every term inside the bracket. Answer is 2x + 6.
9a²b + 5a²b + ab²
14a²b + ab²
−30 = −2d
d=15
x/2-7=9
x=32
Expand and simplify:
2y(x − 2) + 4x(y + 4)
6xy − 4y + 16x
22xy + 4x² − 8xyz
2x(11y + 2x − 4yz)
Sammy says −2(3y − 5) = −6y − 10
Wrong. −2 × −5 = +10. Answer is −6y + 10.
15m²n² − 2mn² − 4m²n² + mn²
11m²n² − mn²
w/5=4
w=10
25 − 2c = 35
c = −5
Expand and simplify:
4(3x − 1) − 2(3 − x)
14x − 10
12a²b − 18ab² + 6ab
6ab(2a − 3b + 1)
Sammy says 9a²b + 5a²b + ab² = 14a²b²
Wrong. ab² is not a like term with a²b. Answer is 14a²b + ab².
7x²y − 3xy² + 2x²y + 4xy² − xy
9x²y + xy² − xy
-m/4=-6
m=24
-x/4+3=-2
x=20
Expand and simplify:
2x(3x − 4) − 3x(x + 2) + 5x²
4x² − 14x
9x²y² − 3xy + 6x²y
3xy(3xy − 1 + 2x)
Sammy expands 4(3x − 1) − 2(3 − x) and gets 12x − 4 − 6 − 2x
Wrong. −2 × −x = +2x, not −2x. The line should read 12x − 4 − 6 + 2x, giving 14x − 10.