The output from the 1.4 K cavity of the axion detector at Lawrence Livermore National Laboratory is currently amplified by a cooled semiconductor amplifier with a noise temperature of about 3 K. To achieve a lower system noise temperature, one must cool the cavity to a lower temperature and use an amplifier with a lower noise temperature. An amplifier based on a dc SQUID (Superconducting QUantum Interference Device) has been developed in which the input signal is coupled to one end of the microstrip formed by the input coil and the body of the SQUID. Gains of up to 20 dB have been achieved in the frequency range 100 - 900 MHz. At 4.2 K and with a room-temperature post-amplifier the system noise temperature ranged from 0.5 K +/- 0.3 K at 80 MHz to 3.0 K +/- 0.7 K at 500 MHz; particularly at the higher frequencies, the measured noise temperature was determined by the noise temperature of the post-amplifier (about 80 K). With the SQUID cooled to 1.8 K and a cooled high electron mobility transistor, the system noise temperature was reduced to 0.3 K +/- 0.1 K at 250 MHz and 0.25 K +/- 0.1 K at 365 MHz.