Stochastic resonance (SR) is studied in an over-damped linear system driven by multiplicativeand additive dichotomous noise and signal-modulated noise, when the signal modulatednoise is a linear combination of the multiplicative and additive noise. The exact expressionsare obtained for the first two moments and the signal-to-noise ratio (SNR) of the output byusing linear-response theory and the Shapiro-Loginov formula. Several different forms of SRare obtained. Conventional SR, SR in a broad sense, bona fide SR, and parameter-inducedSR are found in the system. SR can be realized by tuning the bias of the external field andthe noise proportion parameter b, which is new to SR phenomenon. Moreover, we found tworesonance peaks, and both resonance and suppression appear in the parameter-induced SR.