Abstract The previously presented calculation of the σ terms for meson-baryon scattering in the (8, 8) model of chiral-symmetry breaking is extended. We now also allow for SU(3) violations in the baryon matrix elements of the scalar operators of the model. Using the values of the πN σ term ΣπN = 47 MeV and of the ( K N ) I=0 σ term (Σ K N = 400 ± 400 MeV ) as our inputs, good agreement is obtained with the expected value of the (KN)I=1 σ term. If the dimension lu of the chiral-symmetry-breaking Hamiltonian density u(x) is two or three, a q-number σ must be present in the (8, 8). The sense conclusion, incidentally, holds in the (3, 3 )⊗( 3 , 3) . For the πΣ σ terms Σ(πΣ)0 and Σ(πΣ) we predict Σ(πΣ)!0 ≈ −Σ(πΣ)1 ≈ 1000 MeV. Furthermore, the πΣσ term with isospin two in the t-channel is Σ(πΣ)It=2 ≈ 900 MeV. In the (3, 3 )⊗( 3 , 3) model one has Σ(πΣ)0 = Σ(πΣ) 1 and Σ(πΣ)It=2 = 0. Under reasonable further assumptions the value Σ(πΣ)0 ≈ 30 MeV is predicted in that model. These large differences between the two models might be detected and could be decisive. We then discuss an intersting connection of the above to electroproduction in (8, 8) models of the Barnes-Isham type, i.e., if the proton Compton amplitude FLp (q2, ν) obeys an unsubtracted dispersion relation in ν for fixed q2 and if FLp (ω) = 0 in the deep-inelastic limit, the (KN) σ terms can be predicted. This prediction (i.e. Σ( K N ) 0 = 400 MeV and Σ(KN)1=350 MeV) is in excellent agreement with the experimental values. If, furthemore the neutron Compton amplitude FLn9(q2, ν) is unsubtracted, it follows that FLn (ω) ⪢ FLp (ω) ≈ 0. This result completely disagrees with the F spin - 1 2 parton-model prediction and experimental determination of FLn(ω) will provide an essential test of (8, 8) models of the Barnes-Isham type. All conclusion in this paper agree with the results previously obtained neglecting SU(3) violations in baryon matrix elements of the scalar densities of the model.